1
|
Yuan Y, Liu L, Zhu J, Dong J, Chu Y, Wu F, Du L, Watanabe K, Taniguchi T, Shi D, Zhang G, Yang W. Interplay of Landau Quantization and Interminivalley Scatterings in a Weakly Coupled Moiré Superlattice. NANO LETTERS 2024; 24:6722-6729. [PMID: 38717299 PMCID: PMC11157648 DOI: 10.1021/acs.nanolett.4c01411] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/25/2024] [Revised: 05/02/2024] [Accepted: 05/02/2024] [Indexed: 06/06/2024]
Abstract
Double-layer quantum systems are promising platforms for realizing novel quantum phases. Here, we report a study of quantum oscillations (QOs) in a weakly coupled double-layer system composed of a large-angle twisted-double-bilayer graphene (TDBG). We quantify the interlayer coupling strength by measuring the interlayer capacitance from the QOs pattern at low temperatures, revealing electron-hole asymmetry. At high temperatures when SdHOs are thermally smeared, we observe resistance peaks when Landau levels (LLs) from two moiré minivalleys are aligned, regardless of carrier density; eventually, it results in a 2-fold increase of oscillating frequency in D, serving as compelling evidence of the magneto-intersub-band oscillations (MISOs) in double-layer systems. The temperature dependence of MISOs suggests that electron-electron interactions play a crucial role and the scattering times obtained from MISO thermal damping are correlated with the interlayer coupling strength. Our study reveals intriguing interplays among Landau quantization, moiré band structure, and scatterings.
Collapse
Affiliation(s)
- Yalong Yuan
- Beijing
National Laboratory for Condensed Matter Physics and Institute of
Physics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
- School
of Physical Sciences, University of Chinese
Academy of Sciences, Beijing 100190, People’s
Republic of China
| | - Le Liu
- Beijing
National Laboratory for Condensed Matter Physics and Institute of
Physics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
- School
of Physical Sciences, University of Chinese
Academy of Sciences, Beijing 100190, People’s
Republic of China
| | - Jundong Zhu
- Beijing
National Laboratory for Condensed Matter Physics and Institute of
Physics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
- School
of Physical Sciences, University of Chinese
Academy of Sciences, Beijing 100190, People’s
Republic of China
| | - Jingwei Dong
- Beijing
National Laboratory for Condensed Matter Physics and Institute of
Physics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
- School
of Physical Sciences, University of Chinese
Academy of Sciences, Beijing 100190, People’s
Republic of China
| | - Yanbang Chu
- Beijing
National Laboratory for Condensed Matter Physics and Institute of
Physics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
- School
of Physical Sciences, University of Chinese
Academy of Sciences, Beijing 100190, People’s
Republic of China
| | - Fanfan Wu
- Beijing
National Laboratory for Condensed Matter Physics and Institute of
Physics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
- School
of Physical Sciences, University of Chinese
Academy of Sciences, Beijing 100190, People’s
Republic of China
| | - Luojun Du
- Beijing
National Laboratory for Condensed Matter Physics and Institute of
Physics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
- School
of Physical Sciences, University of Chinese
Academy of Sciences, Beijing 100190, People’s
Republic of China
| | - Kenji Watanabe
- Research
Center for Electronic and Optical Materials, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
| | - Takashi Taniguchi
- Research
Center for Materials Nanoarchitectonics, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
| | - Dongxia Shi
- Beijing
National Laboratory for Condensed Matter Physics and Institute of
Physics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
- School
of Physical Sciences, University of Chinese
Academy of Sciences, Beijing 100190, People’s
Republic of China
- Songshan
Lake Materials Laboratory, Dongguan 523808, People’s
Republic of China
| | - Guangyu Zhang
- Beijing
National Laboratory for Condensed Matter Physics and Institute of
Physics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
- School
of Physical Sciences, University of Chinese
Academy of Sciences, Beijing 100190, People’s
Republic of China
- Songshan
Lake Materials Laboratory, Dongguan 523808, People’s
Republic of China
| | - Wei Yang
- Beijing
National Laboratory for Condensed Matter Physics and Institute of
Physics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
- School
of Physical Sciences, University of Chinese
Academy of Sciences, Beijing 100190, People’s
Republic of China
- Songshan
Lake Materials Laboratory, Dongguan 523808, People’s
Republic of China
| |
Collapse
|
2
|
Huber N, Leeb V, Bauer A, Benka G, Knolle J, Pfleiderer C, Wilde MA. Quantum oscillations of the quasiparticle lifetime in a metal. Nature 2023; 621:276-281. [PMID: 37532938 DOI: 10.1038/s41586-023-06330-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/05/2022] [Accepted: 06/15/2023] [Indexed: 08/04/2023]
Abstract
Following nearly a century of research, it remains a puzzle that the low-lying excitations of metals are remarkably well explained by effective single-particle theories of non-interacting bands1-4. The abundance of interactions in real materials raises the question of direct spectroscopic signatures of phenomena beyond effective single-particle, single-band behaviour. Here we report the identification of quantum oscillations (QOs) in the three-dimensional topological semimetal CoSi, which defy the standard description in two fundamental aspects. First, the oscillation frequency corresponds to the difference of semiclassical quasiparticle (QP) orbits of two bands, which are forbidden as half of the trajectory would oppose the Lorentz force. Second, the oscillations exist up to above 50 K, in strong contrast to all other oscillatory components, which vanish below a few kelvin. Our findings are in excellent agreement with generic model calculations of QOs of the QP lifetime (QPL). Because the only precondition for their existence is a nonlinear coupling of at least two electronic orbits, for example, owing to QP scattering on defects or collective excitations, such QOs of the QPL are generic for any metal featuring Landau quantization with several orbits. They are consistent with certain frequencies in topological semimetals5-9, unconventional superconductors10,11, rare-earth compounds12-14 and Rashba systems15, and permit to identify and gauge correlation phenomena, for example, in two-dimensional materials16,17 and multiband metals18.
Collapse
Affiliation(s)
- Nico Huber
- TUM School of Natural Sciences, Department of Physics, Technical University of Munich, Garching, Germany
| | - Valentin Leeb
- TUM School of Natural Sciences, Department of Physics, Technical University of Munich, Garching, Germany
- Munich Center for Quantum Science and Technology (MCQST), Munich, Germany
| | - Andreas Bauer
- TUM School of Natural Sciences, Department of Physics, Technical University of Munich, Garching, Germany
- Centre for Quantum Engineering (ZQE), Technical University of Munich, Garching, Germany
| | - Georg Benka
- TUM School of Natural Sciences, Department of Physics, Technical University of Munich, Garching, Germany
| | - Johannes Knolle
- TUM School of Natural Sciences, Department of Physics, Technical University of Munich, Garching, Germany.
- Munich Center for Quantum Science and Technology (MCQST), Munich, Germany.
- Blackett Laboratory, Imperial College London, London, UK.
| | - Christian Pfleiderer
- TUM School of Natural Sciences, Department of Physics, Technical University of Munich, Garching, Germany.
- Munich Center for Quantum Science and Technology (MCQST), Munich, Germany.
- Centre for Quantum Engineering (ZQE), Technical University of Munich, Garching, Germany.
| | - Marc A Wilde
- TUM School of Natural Sciences, Department of Physics, Technical University of Munich, Garching, Germany.
- Centre for Quantum Engineering (ZQE), Technical University of Munich, Garching, Germany.
| |
Collapse
|
3
|
Anomalous Decay of Quantum Resistance Oscillations of 2D Helical Electrons in Magnetic Field. Sci Rep 2020; 10:7875. [PMID: 32398662 PMCID: PMC7217846 DOI: 10.1038/s41598-020-64385-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/28/2020] [Accepted: 04/15/2020] [Indexed: 11/08/2022] Open
Abstract
Shubnikov de Haas resistance oscillations of highly mobile two dimensional helical electrons propagating on a conducting surface of strained HgTe 3D topological insulator are studied in magnetic fields B tilted by angle θ from the normal to the conducting layer. Strong decrease of oscillation amplitude A is observed with the tilt: \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$${\boldsymbol{A}}\sim {\boldsymbol{e}}{\boldsymbol{x}}{\boldsymbol{p}}(\,-\,{\boldsymbol{\xi }}/{\boldsymbol{c}}{\boldsymbol{o}}{\boldsymbol{s}}({\boldsymbol{\theta }}))$$\end{document}A∼exp(−ξ/cos(θ)), where ξ is a constant. Evolution of the oscillations with temperature T shows that the parameter \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$${\boldsymbol{\xi }}$$\end{document}ξ contains two terms: \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$${\boldsymbol{\xi }}={{\boldsymbol{\xi }}}_{1}+{{\boldsymbol{\xi }}}_{2}{\boldsymbol{T}}$$\end{document}ξ=ξ1+ξ2T. The temperature independent term, \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$${{\boldsymbol{\xi }}}_{{\bf{1}}}$$\end{document}ξ1, signals possible reduction of electron mean free path \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$${l}_{q}$$\end{document}lq and/or enhancement of in-homogeneous broadening of the oscillations in magnetic field B. The temperature dependent term, \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$${{\boldsymbol{\xi }}}_{{\bf{2}}}{\boldsymbol{T}}$$\end{document}ξ2T, indicates increase of the reciprocal velocity of 2D helical electrons: \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$\delta ({v}_{F}^{-1})\sim B$$\end{document}δ(vF−1)∼B suggesting modification of the electron spectrum in magnetic fields. Results are found in good agreement with proposed phenomenological model.
Collapse
|
4
|
Overweg H, Eggimann H, Liu MH, Varlet A, Eich M, Simonet P, Lee Y, Watanabe K, Taniguchi T, Richter K, Fal'ko VI, Ensslin K, Ihn T. Oscillating Magnetoresistance in Graphene p-n Junctions at Intermediate Magnetic Fields. NANO LETTERS 2017; 17:2852-2857. [PMID: 28383919 DOI: 10.1021/acs.nanolett.6b05318] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
We report on the observation of magnetoresistance oscillations in graphene p-n junctions. The oscillations have been observed for six samples, consisting of single-layer and bilayer graphene, and persist up to temperatures of 30 K, where standard Shubnikov-de Haas oscillations are no longer discernible. The oscillatory magnetoresistance can be reproduced by tight-binding simulations. We attribute this phenomenon to the modulated densities of states in the n- and p-regions.
Collapse
Affiliation(s)
- Hiske Overweg
- Solid State Physics Laboratory, ETH Zürich , CH-8093 Zürich, Switzerland
| | - Hannah Eggimann
- Solid State Physics Laboratory, ETH Zürich , CH-8093 Zürich, Switzerland
| | - Ming-Hao Liu
- Institut für Theoretische Physik, Universität Regensburg , D-93040 Regensburg, Germany
- Department of Physics, National Cheng Kung University , Tainan 70101, Taiwan
| | - Anastasia Varlet
- Solid State Physics Laboratory, ETH Zürich , CH-8093 Zürich, Switzerland
| | - Marius Eich
- Solid State Physics Laboratory, ETH Zürich , CH-8093 Zürich, Switzerland
| | - Pauline Simonet
- Solid State Physics Laboratory, ETH Zürich , CH-8093 Zürich, Switzerland
| | - Yongjin Lee
- Solid State Physics Laboratory, ETH Zürich , CH-8093 Zürich, Switzerland
| | - Kenji Watanabe
- Advanced Materials Laboratory, National Institute for Material Science , 1-1 Namiki, Tsukuba 305-0044, Japan
| | - Takashi Taniguchi
- Advanced Materials Laboratory, National Institute for Material Science , 1-1 Namiki, Tsukuba 305-0044, Japan
| | - Klaus Richter
- Institut für Theoretische Physik, Universität Regensburg , D-93040 Regensburg, Germany
| | - Vladimir I Fal'ko
- National Graphene Institute, University of Manchester , Manchester M13 9PL, United Kingdom
| | - Klaus Ensslin
- Solid State Physics Laboratory, ETH Zürich , CH-8093 Zürich, Switzerland
| | - Thomas Ihn
- Solid State Physics Laboratory, ETH Zürich , CH-8093 Zürich, Switzerland
| |
Collapse
|
5
|
Dorozhkin SI, Kapustin AA, Umansky V, von Klitzing K, Smet JH. Microwave-Induced Oscillations in Magnetocapacitance: Direct Evidence for Nonequilibrium Occupation of Electronic States. PHYSICAL REVIEW LETTERS 2016; 117:176801. [PMID: 27824453 DOI: 10.1103/physrevlett.117.176801] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/08/2016] [Indexed: 06/06/2023]
Abstract
In a two-dimensional electron system, microwave radiation may induce giant resistance oscillations. Their origin has been debated controversially and numerous mechanisms based on very different physical phenomena have been invoked. However, none of them have been unambiguously experimentally identified, since they produce similar effects in transport studies. The capacitance of a two-subband system is sensitive to a redistribution of electrons over energy states, since it entails a shift of the electron charge perpendicular to the plane. In such a system, microwave-induced magnetocapacitance oscillations have been observed. They can only be accounted for by an electron distribution function oscillating with energy due to Landau quantization, one of the quantum mechanisms proposed for the resistance oscillations.
Collapse
Affiliation(s)
- S I Dorozhkin
- Institute of Solid State Physics RAS, 142432 Chernogolovka, Moscow district, Russia
| | - A A Kapustin
- Institute of Solid State Physics RAS, 142432 Chernogolovka, Moscow district, Russia
| | - V Umansky
- Department of Physics, Weizmann Institute of Science, 76100 Rehovot, Israel
| | - K von Klitzing
- Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
| | - J H Smet
- Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
| |
Collapse
|
6
|
Scalari G, Blaser S, Faist J, Beere H, Linfield E, Ritchie D, Davies G. Terahertz emission from quantum cascade lasers in the quantum Hall regime: evidence for many body resonances and localization effects. PHYSICAL REVIEW LETTERS 2004; 93:237403. [PMID: 15601202 DOI: 10.1103/physrevlett.93.237403] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/17/2004] [Revised: 07/14/2004] [Indexed: 05/24/2023]
Abstract
A terahertz quantum cascade laser, operating at lambda=159 microm and exploiting the in-plane confinement arising from perpendicular magnetic field, is used to investigate the physics of electrons confined on excited subbands in the regime of a large ratio of the magnetic field confinement energy to the photon energy. As the magnetic field is increased above about 6 T, and the temperature lowered below 20 K, the devices are characterized by a very low threshold current density, with values as low as J(th)=1A/cm(2), and an increase of gain by five times the low field value. We show that, as with the quantum Hall effect, the key physical process is the localization of the carriers. Evidences for resonant electron-electron scattering processes are directly obtained from light intensity and transport measurements.
Collapse
Affiliation(s)
- Giacomo Scalari
- Institute of Physics, University of Neuchâtel, CH-2000 Neuchâtel, Switzerland
| | | | | | | | | | | | | |
Collapse
|
7
|
Ihn T, Friedland KJ, Hey R, Koch F. Magnetotransport phenomena in periodically delta -doped structures. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:2789-2797. [PMID: 9981349 DOI: 10.1103/physrevb.52.2789] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|