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Li H, Hao P, Zhang J, Gordon K, Linn AG, Chen X, Zheng H, Zhou X, Mitchell JF, Dessau DS. Electronic structure and correlations in planar trilayer nickelate Pr 4Ni 3O 8. SCIENCE ADVANCES 2023; 9:eade4418. [PMID: 36638179 PMCID: PMC9839319 DOI: 10.1126/sciadv.ade4418] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 08/16/2022] [Accepted: 12/07/2022] [Indexed: 06/17/2023]
Abstract
The discovery of superconductivity in planar nickelates raises the question of how the electronic structure and correlations of Ni1+ compounds compare to those of the Cu2+ cuprate superconductors. Here, we present an angle-resolved photoemission spectroscopy (ARPES) study of the trilayer nickelate Pr4Ni3O8, revealing a Fermi surface resembling that of the hole-doped cuprates but with critical differences. Specifically, the main portions of the Fermi surface are extremely similar to that of the bilayer cuprates, with an additional piece that can accommodate additional hole doping. We find that the electronic correlations are about twice as strong in the nickelates and are almost k-independent, indicating that they originate from a local effect, likely the Mott interaction, whereas cuprate interactions are somewhat less local. Nevertheless, the nickelates still demonstrate the strange-metal behavior in the electron scattering rates. Understanding the similarities and differences between these two families of strongly correlated superconductors is an important challenge.
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Affiliation(s)
- Haoxiang Li
- Department of Physics, University of Colorado Boulder, Boulder, CO 80309, USA
- Advanced Materials Thrust, The Hong Kong University of Science and Technology (Guangzhou), Guangzhou, Guangdong 511453, China
| | - Peipei Hao
- Department of Physics, University of Colorado Boulder, Boulder, CO 80309, USA
| | - Junjie Zhang
- Materials Science Division, Argonne National Laboratory, Lemont, IL 60439, USA
- Institute of Crystal Materials and State Key Laboratory of Crystal Materials, Shandong University, Jinan, Shandong 250100, China
| | - Kyle Gordon
- Department of Physics, University of Colorado Boulder, Boulder, CO 80309, USA
| | - A. Garrison Linn
- Department of Physics, University of Colorado Boulder, Boulder, CO 80309, USA
| | - Xinglong Chen
- Materials Science Division, Argonne National Laboratory, Lemont, IL 60439, USA
| | - Hong Zheng
- Materials Science Division, Argonne National Laboratory, Lemont, IL 60439, USA
| | - Xiaoqing Zhou
- Department of Physics, University of Colorado Boulder, Boulder, CO 80309, USA
| | - J. F. Mitchell
- Materials Science Division, Argonne National Laboratory, Lemont, IL 60439, USA
| | - D. S. Dessau
- Department of Physics, University of Colorado Boulder, Boulder, CO 80309, USA
- Center for Experiments on Quantum Materials, University of Colorado Boulder, Boulder, CO 80309, USA
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Wagner N, Ciuchi S, Toschi A, Trauzettel B, Sangiovanni G. Resistivity Exponents in 3D Dirac Semimetals From Electron-Electron Interaction. PHYSICAL REVIEW LETTERS 2021; 126:206601. [PMID: 34110186 DOI: 10.1103/physrevlett.126.206601] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/18/2020] [Accepted: 04/16/2021] [Indexed: 06/12/2023]
Abstract
We study the resistivity of three-dimensional semimetals with linear dispersion in the presence of on-site electron-electron interaction. The well-known quadratic temperature dependence of the resistivity of conventional metals is turned into an unusual T^{6} behavior. An analogous change affects the thermal transport, preserving the linearity in T of the ratio between thermal and electrical conductivities. These results hold from weak coupling up to the nonperturbative region of the Mott transition. Our findings yield a natural explanation for the hitherto not understood large exponents characterizing the temperature dependence of transport experiments on various topological semimetals.
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Affiliation(s)
- Niklas Wagner
- Institut für Theoretische Physik und Astrophysik, Universität Würzburg, 97074 Würzburg, Germany
| | - Sergio Ciuchi
- Dipartimento di Scienze Fisiche e Chimiche, Università dell'Aquila, 67100 Coppito (AQ), Italy and Istituto dei Sistemi Complessi, CNR, 00185 Roma, Italy
| | | | - Björn Trauzettel
- Institut für Theoretische Physik und Astrophysik and Würzburg-Dresden Cluster of Excellence ct.qmat, Universität Würzburg, 97074 Würzburg, Germany
| | - Giorgio Sangiovanni
- Institut für Theoretische Physik und Astrophysik and Würzburg-Dresden Cluster of Excellence ct.qmat, Universität Würzburg, 97074 Würzburg, Germany
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Galitski V, Kargarian M, Syzranov S. Dynamo Effect and Turbulence in Hydrodynamic Weyl Metals. PHYSICAL REVIEW LETTERS 2018; 121:176603. [PMID: 30411937 DOI: 10.1103/physrevlett.121.176603] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/07/2018] [Indexed: 06/08/2023]
Abstract
The dynamo effect is a class of macroscopic phenomena responsible for generating and maintaining magnetic fields in astrophysical bodies. It hinges on the hydrodynamic three-dimensional motion of conducting gases and plasmas that achieve high hydrodynamic and/or magnetic Reynolds numbers due to the large length scales involved. The existing laboratory experiments modeling dynamos are challenging and involve large apparatuses containing conducting fluids subject to fast helical flows. Here we propose that electronic solid-state materials-in particular, hydrodynamic metals-may serve as an alternative platform to observe some aspects of the dynamo effect. Motivated by recent experimental developments, this Letter focuses on hydrodynamic Weyl semimetals, where the dominant scattering mechanism is due to interactions. We derive Navier-Stokes equations along with equations of magnetohydrodynamics that describe the transport of a Weyl electron-hole plasma appropriate in this regime. We estimate the hydrodynamic and magnetic Reynolds numbers for this system. The latter is a key figure of merit of the dynamo mechanism. We show that it can be relatively large to enable observation of the dynamo-induced magnetic field bootstrap in an experiment. Finally, we generalize the simplest dynamo instability model-the Ponomarenko dynamo-to the case of a hydrodynamic Weyl semimetal and show that the chiral anomaly term reduces the threshold magnetic Reynolds number for the dynamo instability.
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Affiliation(s)
- Victor Galitski
- Joint Quantum Institute, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA
| | - Mehdi Kargarian
- Department of Physics, Sharif University of Technology, Tehran 14588-89694, Iran
| | - Sergey Syzranov
- Joint Quantum Institute, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA
- Physics Department, University of California, Santa Cruz, California 95064, USA
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Lucas A. Kinetic Theory of Electronic Transport in Random Magnetic Fields. PHYSICAL REVIEW LETTERS 2018; 120:116603. [PMID: 29601759 DOI: 10.1103/physrevlett.120.116603] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/02/2017] [Indexed: 06/08/2023]
Abstract
We present the theory of quasiparticle transport in perturbatively small inhomogeneous magnetic fields across the ballistic-to-hydrodynamic crossover. In the hydrodynamic limit, the resistivity ρ generically grows proportionally to the rate of momentum-conserving electron-electron collisions at large enough temperatures T. In particular, the resulting flow of electrons provides a simple scenario where viscous effects suppress conductance below the ballistic value. This new mechanism for ρ∝T^{2} resistivity in a Fermi liquid may describe low T transport in single-band SrTiO_{3}.
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Affiliation(s)
- Andrew Lucas
- Department of Physics, Stanford University, Stanford, California 94305, USA
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Lucas A, Fong KC. Hydrodynamics of electrons in graphene. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2018; 30:053001. [PMID: 29251624 DOI: 10.1088/1361-648x/aaa274] [Citation(s) in RCA: 49] [Impact Index Per Article: 8.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Generic interacting many-body quantum systems are believed to behave as classical fluids on long time and length scales. Due to rapid progress in growing exceptionally pure crystals, we are now able to experimentally observe this collective motion of electrons in solid-state systems, including graphene. We present a review of recent progress in understanding the hydrodynamic limit of electronic motion in graphene, written for physicists from diverse communities. We begin by discussing the 'phase diagram' of graphene, and the inevitable presence of impurities and phonons in experimental systems. We derive hydrodynamics, both from a phenomenological perspective and using kinetic theory. We then describe how hydrodynamic electron flow is visible in electronic transport measurements. Although we focus on graphene in this review, the broader framework naturally generalizes to other materials. We assume only basic knowledge of condensed matter physics, and no prior knowledge of hydrodynamics.
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Affiliation(s)
- Andrew Lucas
- Department of Physics, Stanford University, Stanford, CA 94305, United States of America
| | - Kin Chung Fong
- Raytheon BBN Technologies, Quantum Information Processing Group, Cambridge, MA 02138, United States of America
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