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We investigate quantum depinning of the one-dimensional (1D) commensurate charge-density wave (CDW) in the presence of one impurity theoretically. Quantum tunneling rate below but close to the threshold field is calculated at absolute zero…

Disordered Systems and Neural Networks · Physics 2009-10-31 Masanori Yumoto , Hidetoshi Fukuyama , Hiroshi Matsukawa , Naoto Nagaosa

The quantum Hall effect is the seminal example of topological protection, as charge carriers are transmitted through one-dimensional edge channels where backscattering is prohibited. Graphene has made its marks as an exceptional platform to…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Nicolas Moreau , Boris Brun , Sowmya Somanchi , Kenji Watanabe , Takashi Taniguchi , Christoph Stampfer , Benoit Hackens

The creation of topologically non-trivial matter across electronic, mechanical, cold-atom, and photonic platforms is advancing rapidly, yet understanding the breakdown of topological protection remains a major challenge. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2025-03-05 George M. Ferguson , Run Xiao , Anthony R. Richardella , Austin Kaczmarek , Nitin Samarth , Katja C. Nowack

The impurity is inherently manifest in cuprate superconductors, as cation substitution or intercalation is necessary for the introduction of charge carriers, and its influence on the electronic state is at the heart of a great debate in…

Superconductivity · Physics 2022-08-22 Minghuan Zeng , Xiang Li , Yongjun Wang , Shiping Feng

Topological features - global properties not discernible locally - emerge in systems from liquid crystals to magnets to fractional quantum Hall systems. Deeper understanding of the role of topology in physics has led to a new class of…

Mesoscale and Nanoscale Physics · Physics 2015-04-23 M. Hafezi , S. Mittal , J. Fan , A. Migdall , J. Taylor

Strongly interacting electrons in a topologically non trivial band may form exotic phases of matter. An especially intriguing example of which is the fractional quantum anomalous Hall phase, recently discovered in twisted transition metal…

Mesoscale and Nanoscale Physics · Physics 2024-11-18 Gal Shavit

In materials with strong local Coulomb interactions, simple defects such as atomic substitutions strongly affect both macroscopic and local properties of the system. A nonmagnetic impurity, for instance, is seen to induce magnetism nearby.…

Strongly Correlated Electrons · Physics 2015-05-13 H. Alloul , J. Bobroff , M. Gabay , P. J. Hirschfeld

Unlike anomalous quantum Hall insulators, clean single-band chiral superconductors do not exhibit intrinsic Hall effect at the one-loop approximation. Finite ac Hall conductance was found to emerge beyond one-loop, such as with vertex…

Superconductivity · Physics 2020-12-17 Yu Li , Zhiqiang Wang , Wen Huang

The nature of a metal-insulator transition tuned by external gates in quantum Hall (QH) systems with point constrictions, as reported in recent experiments of Roddaro et al [1], is examined. We attribute this phenomenon to a splitting of…

Strongly Correlated Electrons · Physics 2009-11-11 Emiliano Papa , Tilo Stroh

We investigate the intrinsic thermal Hall conductivity contributed by optical phonons in a cubic system. The discrete rotational symmetry of the system splits the degeneracy of transverse modes across most regions of wave-vector space,…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Xuesong Hu , Junren Shi

The quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal resistance, is the characteristic experimental fingerprint of Chern insulators - topologically non-trivial states of two-dimensional matter with broken…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Cui-Zu Chang , Chao-Xing Liu , Allan H. MacDonald

A generalized propagation matrix method is used to study how scattering off local Einstein phonons affects resonant electron transmission through quantum wells. In particular, the parity and the number of the phonon mediated satellite…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Bruna P. W. de Oliveira , Stephan Haas

We demonstrate how potential impurities are a very powerful tool for determining the pairing symmetry in graphene proximity-coupled to a spin-singlet superconductor. All d-wave states are characterized by subgap resonances, with spatial…

Superconductivity · Physics 2018-06-20 Oladunjoye A. Awoga , Annica M. Black-Schaffer

We present a theory of the phonon-assisted nonlinear dc transport of 2D electrons in high Landau levels. The nonlinear dissipative resistivity displays quantum magneto-oscillations governed by two parameters which are proportional to the…

Mesoscale and Nanoscale Physics · Physics 2011-03-09 I. A. Dmitriev , R. Gellmann , M. G. Vavilov

Quantum spin-liquids are strongly correlated phases of matter displaying a highly entangled ground state. Due to their unconventional nature, finding experimental signatures of these states has proven to be a remarkable challenge. Here we…

Strongly Correlated Electrons · Physics 2020-09-23 Guangze Chen , J. L. Lado

Chern insulators arguably provide the simplest examples of topological phases. They are characterized by a topological invariant and can be identified by the presence of protected edge states. In this article, we show that a local impurity…

Mesoscale and Nanoscale Physics · Physics 2017-03-28 Vibhuti Bhushan Jha , Garima Rani , R. Ganesh

We address the recently-observed unexpected behavior of Aharonov-Bohm oscillations in the electronic Mach-Zehnder interferometer that was realized experimentally in a quantum Hall system [1]. We argue that the measured lobe structure in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Eugene V. Sukhorukov , Vadim V. Cheianov

A single-channel quantum wire with two well-separated Zeeman subbands and in the presence of a weak spin-orbit coupling is considered. An impurity level which is split off the upper subband is degenerate with the continuum of the lower…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 Rajesh K. Malla , M. E. Raikh

A system of electrons in two dimensions and strong magnetic fields can be tuned to create a gapped 2D system with one dimensional channels along the edge. Interactions among these edge modes can lead to independent transport of charge and…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Vivek Venkatachalam , Sean Hart , Loren Pfeiffer , Ken West , Amir Yacoby

The control of the electronic properties of materials via the vacuum fields of cavity electromagnetic resonators is one of the emerging frontiers of condensed matter physics. We show here that the enhancement of vacuum field fluctuations in…

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