1
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Tan H, Zhao Y, Huang J. Thermal conduction force under standing and quasistanding temperature field. Phys Rev E 2024; 109:044124. [PMID: 38755810 DOI: 10.1103/physreve.109.044124] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/07/2024] [Accepted: 03/21/2024] [Indexed: 05/18/2024]
Abstract
Thermal conduction force plays a crucial role in manipulating the local thermal conductivity of crystals. However, due to the diffusive nature of thermal conduction, investigating the force effect is challenging. Recently, researchers have explored the force effect based on the wavelike behavior of thermal conduction, specifically second sound. However, their focus has been primarily on the progressive case, neglecting the more complex standing temperature field case. Additionally, establishing a connection between the results obtained from the progressive case and the standing case poses a challenging problem. In this study, we investigate the force effect of standing and quasistanding temperature fields, revealing distinct characteristics of thermal conduction force. Moreover, we establish a link between the progressive and standing cases through the quasistanding case. Our findings pave the way for research in more intricate scenarios and provide an additional degree of freedom for manipulating the local thermal conductivity of dielectric crystals.
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Affiliation(s)
- Haohan Tan
- Department of Physics, State Key Laboratory of Surface Physics, and Key Laboratory of Micro and Nano Photonic Structures (MOE), Fudan University, Shanghai 200438, China
| | - Yuqian Zhao
- Department of Physics, State Key Laboratory of Surface Physics, and Key Laboratory of Micro and Nano Photonic Structures (MOE), Fudan University, Shanghai 200438, China
| | - Jiping Huang
- Department of Physics, State Key Laboratory of Surface Physics, and Key Laboratory of Micro and Nano Photonic Structures (MOE), Fudan University, Shanghai 200438, China
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2
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Tan H, Qiu Y, Xu L, Huang J. Tunable thermal conduction force without macroscopic temperature gradients. Phys Rev E 2023; 108:034105. [PMID: 37849135 DOI: 10.1103/physreve.108.034105] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/17/2023] [Accepted: 08/17/2023] [Indexed: 10/19/2023]
Abstract
Ubiquitous thermal conduction makes its force effect particularly important in diverse fields, such as electronic engineering and biochemistry. However, regulating thermal conduction force is still challenging due to two stringent restrictions. First, a temperature gradient is essential for inducing the force effect. Second, the force direction is fixed to the temperature gradient in a specific material. Here, we demonstrate that thermal conduction force can exist unexpectedly at a zero average temperature gradient in dielectric crystals. The wavelike feature of thermal conduction is considered, i.e., the second sound mode. Based on the momentum conservation law for phonon gases, we analyze thermal conduction force with the plane, zeroth-order Bessel, and first-order Bessel second sounds. Remarkably, the force direction is highly tunable to be along or against the second sound direction. These results provide valuable insights into thermal conduction force in those environments with temperature fluctuations, and they open up possibilities for practical applications in manipulating the local thermal conductivity of crystals.
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Affiliation(s)
- Haohan Tan
- Department of Physics, State Key Laboratory of Surface Physics, and Key Laboratory of Micro and Nano Photonic Structures (MOE), Fudan University, Shanghai 200438, China
| | - Yuguang Qiu
- Department of Physics, State Key Laboratory of Surface Physics, and Key Laboratory of Micro and Nano Photonic Structures (MOE), Fudan University, Shanghai 200438, China
| | - Liujun Xu
- Graduate School of China Academy of Engineering Physics, Beijing 100193, China
| | - Jiping Huang
- Department of Physics, State Key Laboratory of Surface Physics, and Key Laboratory of Micro and Nano Photonic Structures (MOE), Fudan University, Shanghai 200438, China
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3
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Ghosh K, Kusiak A, Battaglia JL. Phonon hydrodynamics in crystalline materials. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2022; 34:323001. [PMID: 35588717 DOI: 10.1088/1361-648x/ac718a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/28/2022] [Accepted: 05/19/2022] [Indexed: 06/15/2023]
Abstract
Phonon hydrodynamics is an exotic phonon transport phenomenon that challenges the conventional understanding of diffusive phonon scattering in crystalline solids. It features a peculiar collective motion of phonons with various unconventional properties resembling fluid hydrodynamics, facilitating non Fourier heat transport. Hence, it opens up several new avenues to enrich the knowledge and implementations on phonon physics, phonon engineering, and micro and nanoelectronic device technologies. This review aims at covering a comprehensive development as well as the recent advancements in this field via experiments, analytical methods, and state-of-the-art numerical techniques. The evolution of the topic has been realized using both phenomenological and material science perspectives. Further, the discussions related to the factors that influence such peculiar motion, illustrate the capability of phonon hydrodynamics to be implemented in various applications. A plethora of new ideas can emerge from the topic considering both the physics and the material science axes, navigating toward a promising outlook in the research areas around phonon transport in non-metallic solids.
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Affiliation(s)
- Kanka Ghosh
- University of Bordeaux, I2M Laboratory, UMR CNRS 5295, 351 Cours de la libération, F-33400 Talence, France
| | - Andrzej Kusiak
- University of Bordeaux, I2M Laboratory, UMR CNRS 5295, 351 Cours de la libération, F-33400 Talence, France
| | - Jean-Luc Battaglia
- University of Bordeaux, I2M Laboratory, UMR CNRS 5295, 351 Cours de la libération, F-33400 Talence, France
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4
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Baggioli M, Landry M, Zaccone A. Deformations, relaxation, and broken symmetries in liquids, solids, and glasses: A unified topological field theory. Phys Rev E 2022; 105:024602. [PMID: 35291146 DOI: 10.1103/physreve.105.024602] [Citation(s) in RCA: 9] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/21/2021] [Accepted: 01/12/2022] [Indexed: 06/14/2023]
Abstract
We combine hydrodynamic and field theoretic methods to develop a general theory of phonons as Goldstone bosons in crystals, glasses, and liquids based on nonaffine displacements and the consequent Goldstone phase relaxation. We relate the conservation, or lack thereof, of specific higher-form currents with properties of the underlying deformation field-nonaffinity-which dictates how molecules move under an applied stress or deformation. In particular, the single-valuedness of the deformation field is associated with conservation of higher-form charges that count the number of topological defects. Our formalism predicts, from first principles, the presence of propagating shear waves above a critical wave vector in liquids, thus giving a formal derivation of the phenomenon in terms of fundamental symmetries. The same picture provides also a theoretical explanation of the corresponding "positive sound dispersion" phenomenon for longitudinal sound. Importantly, accordingly to our theory, the main collective relaxation timescale of a liquid or a glass (known as the α relaxation for the latter) is given by the phase relaxation time, which is not necessarily related to the Maxwell time. Finally, we build a nonequilibrium effective action using the in-in formalism defined on the Schwinger-Keldysh contour, that further supports the emerging picture. In summary, our work suggests that the fundamental difference between solids, fluids, and glasses has to be identified with the associated generalized higher-form global symmetries and their topological structure, and that the Burgers vector for the displacement fields serves as a suitable topological order parameter distinguishing the solid (ordered) phase and the amorphous ones (fluids, glasses).
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Affiliation(s)
- Matteo Baggioli
- Wilczek Quantum Center, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
- Shanghai Research Center for Quantum Sciences, Shanghai 201315, China
| | - Michael Landry
- Department of Physics, Center for Theoretical Physics, Columbia University, 538 West 120th Street, New York, New York 10027, USA
| | - Alessio Zaccone
- Department of Physics "A. Pontremoli," University of Milan, via Celoria 16, 20133 Milan, Italy
- Cavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, CB30HE Cambridge, United Kingdom
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Ding Z, Chen K, Song B, Shin J, Maznev AA, Nelson KA, Chen G. Observation of second sound in graphite over 200 K. Nat Commun 2022; 13:285. [PMID: 35022394 PMCID: PMC8755757 DOI: 10.1038/s41467-021-27907-z] [Citation(s) in RCA: 9] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/23/2021] [Accepted: 12/17/2021] [Indexed: 11/09/2022] Open
Abstract
Second sound refers to the phenomenon of heat propagation as temperature waves in the phonon hydrodynamic transport regime. We directly observe second sound in graphite at temperatures of over 200 K using a sub-picosecond transient grating technique. The experimentally determined dispersion relation of the thermal-wave velocity increases with decreasing grating period, consistent with first-principles-based solution of the Peierls-Boltzmann transport equation. Through simulation, we reveal this increase as a result of thermal zero sound-the thermal waves due to ballistic phonons. Our experimental findings are well explained with the interplay among three groups of phonons: ballistic, diffusive, and hydrodynamic phonons. Our ab initio calculations further predict a large isotope effect on the properties of thermal waves and the existence of second sound at room temperature in isotopically pure graphite.
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Affiliation(s)
- Zhiwei Ding
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| | - Ke Chen
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| | - Bai Song
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| | - Jungwoo Shin
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| | - Alexei A Maznev
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| | - Keith A Nelson
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA.
| | - Gang Chen
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA.
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Mazza G, Gandolfi M, Capone M, Banfi F, Giannetti C. Thermal dynamics and electronic temperature waves in layered correlated materials. Nat Commun 2021; 12:6904. [PMID: 34824212 PMCID: PMC8616949 DOI: 10.1038/s41467-021-27081-2] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/28/2021] [Accepted: 11/03/2021] [Indexed: 11/29/2022] Open
Abstract
Understanding the mechanism of heat transfer in nanoscale devices remains one of the greatest intellectual challenges in the field of thermal dynamics, by far the most relevant under an applicative standpoint. When thermal dynamics is confined to the nanoscale, the characteristic timescales become ultrafast, engendering the failure of the common description of energy propagation and paving the way to unconventional phenomena such as wave-like temperature propagation. Here, we explore layered strongly correlated materials as a platform to identify and control unconventional electronic heat transfer phenomena. We demonstrate that these systems can be tailored to sustain a wide spectrum of electronic heat transport regimes, ranging from ballistic, to hydrodynamic all the way to diffusive. Within the hydrodynamic regime, wave-like temperature oscillations are predicted up to room temperature. The interaction strength can be exploited as a knob to control the dynamics of temperature waves as well as the onset of different thermal transport regimes.
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Affiliation(s)
- Giacomo Mazza
- Department of Quantum Matter Physics, University of Geneva, Quai Ernest-Ansermet 24, 1211, Geneva, Switzerland.
| | - Marco Gandolfi
- CNR-INO, Via Branze 45, 25123, Brescia, Italy
- Department of Information Engineering, University of Brescia, Via Branze 38, 25123, Brescia, Italy
| | - Massimo Capone
- Scuola Internazionale Superiore di Studi Avanzati (SISSA) and CNR-IOM Democritos National Simulation Center, Via Bonomea 265, 34136, Trieste, Italy
| | - Francesco Banfi
- FemtoNanoOptics group, Université de Lyon, CNRS, Université Claude Bernard Lyon 1, Institut Lumière Matière, F-69622, Villeurbanne, France.
| | - Claudio Giannetti
- CNR-INO, Via Branze 45, 25123, Brescia, Italy.
- Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, Via Musei 41, I-25121, Brescia, Italy.
- Interdisciplinary Laboratories for Advanced Materials Physics (I-LAMP), Università Cattolica del Sacro Cuore, Via Musei 41, I-25121, Brescia, Italy.
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7
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Shang MY, Zhang C, Guo Z, Lü JT. Heat vortex in hydrodynamic phonon transport of two-dimensional materials. Sci Rep 2020; 10:8272. [PMID: 32427969 PMCID: PMC7237709 DOI: 10.1038/s41598-020-65221-8] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/06/2019] [Accepted: 04/29/2020] [Indexed: 11/21/2022] Open
Abstract
We study hydrodynamic phonon heat transport in two-dimensional (2D) materials. Starting from the Peierls-Boltzmann equation with the Callaway model approximation, we derive a 2D Guyer-Krumhansl-like equation describing hydrodynamic phonon transport, taking into account the quadratic dispersion of flexural phonons. In addition to Poiseuille flow, second sound propagation, the equation predicts heat current vortices and negative non-local thermal conductance in 2D materials, which are common in classical fluids but have not yet been considered in phonon transport. Our results also illustrate the universal transport behaviors of hydrodynamics, independent of the type of quasi-particles and their microscopic interactions.
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Affiliation(s)
- Man-Yu Shang
- School of Physics and Wuhan National High Magnetic Field Center, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China
| | - Chuang Zhang
- State Key Laboratory of Coal Combustion, School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China
| | - Zhaoli Guo
- State Key Laboratory of Coal Combustion, School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China.
| | - Jing-Tao Lü
- School of Physics and Wuhan National High Magnetic Field Center, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China.
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8
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Chen JY, Kivelson SA, Sun XQ. Enhanced Thermal Hall Effect in Nearly Ferroelectric Insulators. PHYSICAL REVIEW LETTERS 2020; 124:167601. [PMID: 32383931 DOI: 10.1103/physrevlett.124.167601] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/13/2019] [Accepted: 04/07/2020] [Indexed: 06/11/2023]
Abstract
In the context of recent experimental observations of an unexpectedly large thermal Hall conductivity, κ_{H}, in insulating La_{2}CuO_{4} (LCO) and SrTiO_{3} (STO), we theoretically explore conditions under which acoustic phonons can give rise to such a large κ_{H}. Both the intrinsic and extrinsic contributions to κ_{H} are large in proportion to the dielectric constant, ε, and the "flexoelectric" coupling, F. While the intrinsic contribution is still orders of magnitude smaller than the observed effect, an extrinsic contribution proportional to the phonon mean-free path appears likely to account for the observations, at least in STO. We predict a larger intrinsic κ_{H} in certain insulating perovskites.
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Affiliation(s)
- Jing-Yuan Chen
- Stanford Institute for Theoretical Physics, Stanford University, Stanford, California 94305, USA
| | - Steven A Kivelson
- Department of Physics, Stanford University, Stanford, California 94305, USA
| | - Xiao-Qi Sun
- Department of Physics, Stanford University, Stanford, California 94305, USA
- Stanford Center for Topological Quantum Physics, Stanford University, Stanford, California 94305, USA
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9
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Li X, Fauqué B, Zhu Z, Behnia K. Phonon Thermal Hall Effect in Strontium Titanate. PHYSICAL REVIEW LETTERS 2020; 124:105901. [PMID: 32216396 DOI: 10.1103/physrevlett.124.105901] [Citation(s) in RCA: 26] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/16/2019] [Accepted: 02/20/2020] [Indexed: 06/10/2023]
Abstract
It has been known for more than a decade that phonons can produce an off-diagonal thermal conductivity in the presence of a magnetic field. Recent studies of thermal Hall conductivity, κ_{xy}, in a variety of contexts, however, have assumed a negligibly small phonon contribution. We present a study of κ_{xy} in quantum paraelectric SrTiO_{3}, which is a nonmagnetic insulator and find that its peak value exceeds what has been reported in any other insulator, including those in which the signal has been qualified as "giant." Remarkably, κ_{xy}(T) and κ(T) peak at the same temperature and the former decreases faster than the latter at both sides of the peak. Interestingly, in the case of La_{2}CuO_{4} and α-RuCl_{3}, κ_{xy}(T) and κ(T) peak also at the same temperature. We also studied KTaO_{3} and found a small signal, indicating that a sizable κ_{xy}(T) is not a generic feature of quantum paraelectrics. Combined to other observations, this points to a crucial role played by antiferrodistortive domains in generating κ_{xy} of this solid.
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Affiliation(s)
- Xiaokang Li
- Laboratoire de Physique et d'Etude des Matériaux (CNRS) ESPCI Paris, PSL Research University, 75005 Paris, France
- Wuhan National High Magnetic Field Center and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
| | - Benoît Fauqué
- JEIP, USR 3573 CNRS, Collège de France, PSL University, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France
| | - Zengwei Zhu
- Wuhan National High Magnetic Field Center and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
| | - Kamran Behnia
- Laboratoire de Physique et d'Etude des Matériaux (CNRS) ESPCI Paris, PSL Research University, 75005 Paris, France
- II. Physikalisches Institut, Universität zu Köln, 50937 Köln, Germany
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10
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Huberman S, Duncan RA, Chen K, Song B, Chiloyan V, Ding Z, Maznev AA, Chen G, Nelson KA. Observation of second sound in graphite at temperatures above 100 K. Science 2019; 364:375-379. [PMID: 30872535 DOI: 10.1126/science.aav3548] [Citation(s) in RCA: 41] [Impact Index Per Article: 8.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/07/2018] [Revised: 01/27/2019] [Accepted: 03/04/2019] [Indexed: 01/24/2023]
Abstract
Wavelike thermal transport in solids, referred to as second sound, is an exotic phenomenon previously limited to a handful of materials at low temperatures. The rare occurrence of this effect restricted its scientific and practical importance. We directly observed second sound in graphite at temperatures above 100 kelvins by using time-resolved optical measurements of thermal transport on the micrometer-length scale. Our experimental results are in qualitative agreement with ab initio calculations that predict wavelike phonon hydrodynamics. We believe that these results potentially indicate an important role of second sound in microscale transient heat transport in two-dimensional and layered materials in a wide temperature range.
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Affiliation(s)
- S Huberman
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
| | - R A Duncan
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
| | - K Chen
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
| | - B Song
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
| | - V Chiloyan
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
| | - Z Ding
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
| | - A A Maznev
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
| | - G Chen
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
| | - K A Nelson
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
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11
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Machida Y, Subedi A, Akiba K, Miyake A, Tokunaga M, Akahama Y, Izawa K, Behnia K. Observation of Poiseuille flow of phonons in black phosphorus. SCIENCE ADVANCES 2018; 4:eaat3374. [PMID: 29942862 PMCID: PMC6014719 DOI: 10.1126/sciadv.aat3374] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/15/2018] [Accepted: 05/08/2018] [Indexed: 05/02/2023]
Abstract
The travel of heat in insulators is commonly pictured as a flow of phonons scattered along their individual trajectory. In rare circumstances, momentum-conserving collision events dominate, and thermal transport becomes hydrodynamic. One of these cases, dubbed the Poiseuille flow of phonons, can occur in a temperature window just below the peak temperature of thermal conductivity. We report on a study of heat flow in bulk black phosphorus between 0.1 and 80 K. We find a thermal conductivity showing a faster than cubic temperature dependence between 5 and 12 K. Consequently, the effective phonon mean free path shows a nonmonotonic temperature dependence at the onset of the ballistic regime, with a size-dependent Knudsen minimum. These are hallmarks of Poiseuille flow previously observed in a handful of solids. Comparing the phonon dispersion in black phosphorus and silicon, we show that the phase space for normal scattering events in black phosphorus is much larger. Our results imply that the most important requirement for the emergence of Poiseuille flow is the facility of momentum exchange between acoustic phonon branches. Proximity to a structural transition can be beneficial for the emergence of this behavior in clean systems, even when they do not exceed silicon in purity.
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Affiliation(s)
- Yo Machida
- Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551, Japan
- Corresponding author. (Y.M.); (K.B.)
| | - Alaska Subedi
- Centre de Physique Théorique, École Polytechnique, CNRS, Université Paris-Saclay, F-91128 Palaiseau, France
- Collège de France, 11 place Marcelin Berthelot, 75005 Paris, France
| | - Kazuto Akiba
- The Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan
| | - Atsushi Miyake
- The Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan
| | - Masashi Tokunaga
- The Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan
| | - Yuichi Akahama
- Graduate School of Material Science, University of Hyogo, Kamigori, Hyogo 678-1297, Japan
| | - Koichi Izawa
- Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551, Japan
| | - Kamran Behnia
- Laboratoire Physique et Etude de Matériaux (CNRS-UPMC), ESPCI Paris, PSL Research University, 75005 Paris, France
- II. Physikalisches Institut, Universität zu Köln, 50937 Köln, Germany
- Corresponding author. (Y.M.); (K.B.)
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12
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Martelli V, Jiménez JL, Continentino M, Baggio-Saitovitch E, Behnia K. Thermal Transport and Phonon Hydrodynamics in Strontium Titanate. PHYSICAL REVIEW LETTERS 2018; 120:125901. [PMID: 29694090 DOI: 10.1103/physrevlett.120.125901] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/07/2017] [Indexed: 05/02/2023]
Abstract
We present a study of thermal conductivity, κ, in undoped and doped strontium titanate in a wide temperature range (2-400 K) and detecting different regimes of heat flow. In undoped SrTiO_{3}, κ evolves faster than cubic with temperature below its peak and in a narrow temperature window. Such behavior, previously observed in a handful of solids, has been attributed to a Poiseuille flow of phonons, expected to arise when momentum-conserving scattering events outweigh momentum-degrading ones. The effect disappears in the presence of dopants. In SrTi_{1-x}Nb_{x}O_{3}, a significant reduction in lattice thermal conductivity starts below the temperature at which the average inter-dopant distance and the thermal wavelength of acoustic phonons become comparable. In the high-temperature regime, thermal diffusivity becomes proportional to the inverse of temperature, with a prefactor set by sound velocity and Planckian time (τ_{p}=(ℏ/k_{B}T)).
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Affiliation(s)
- Valentina Martelli
- Centro Brasileiro de Pesquisas Físicas, 22290-180 Rio de Janeiro, Rio de Janeiro, Brazil
| | - Julio Larrea Jiménez
- Institute of Physics, University of São Paulo, CEP 05508-090 São Paulo, São Paulo, Brazil
| | - Mucio Continentino
- Centro Brasileiro de Pesquisas Físicas, 22290-180 Rio de Janeiro, Rio de Janeiro, Brazil
| | | | - Kamran Behnia
- Laboratoire Physique et Etude de Matériaux (CNRS-UPMC), ESPCI Paris, PSL Research University, 75005 Paris, France
- II. Physikalisches Institut, Universität zu Köln, 50937 Köln, Germany
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13
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14
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15
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Perez-Garcia C, Jou D. Thermodynamic aspects of continued-fraction expansions in heat conduction. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0305-4470/19/14/023] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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16
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Larecki W. Symmetric conservative form of low-temperature phonon gas hydrodynamics. ACTA ACUST UNITED AC 1992. [DOI: 10.1007/bf02457349] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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17
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Larecki W, Piekarski S. Symmetric conservative form of low-temperature phonon gas hydrodynamics. ACTA ACUST UNITED AC 1991. [DOI: 10.1007/bf02451273] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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18
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Mahan GD, Claro F. Nonlocal theory of thermal conductivity. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 38:1963-1969. [PMID: 9946482 DOI: 10.1103/physrevb.38.1963] [Citation(s) in RCA: 32] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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