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We present a model of dissipative transport in the fractional quantum Hall regime. Our model takes account of tunneling through saddle points in the effective potential for excitations created by impurities. We predict the temperature range…

Mesoscale and Nanoscale Physics · Physics 2011-03-28 N. d'Ambrumenil , B. I. Halperin , R. H. Morf

Topological modes in one- and two-dimensional systems have been proposed for numerous applications utilizing their exotic electronic responses. The zero-energy, topologically protected end modes can be realized in the Su-Schrieffer-Heeger…

Mesoscale and Nanoscale Physics · Physics 2020-03-19 Md Nurul Huda , Shawulienu Kezilebieke , Teemu Ojanen , Robert Drost , Peter Liljeroth

Su-Schrieffer-Heeger (SSH) model on two-dimensional square lattice exhibits a topological phase transition, which is related to the Zak phase determined by bulk band topology. The strong modulation of electron hopping causes nontrivial…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Daichi Obana , Feng Liu , Katsunori Wakabayashi

In this paper the low temperature zero-frequency transport in a 2+1-dimensional theory dual to a dyonic black hole is discussed. It is shown that transport exhibits topological features: the transverse electric and heat conductivities…

High Energy Physics - Theory · Physics 2018-03-14 Dmitry Melnikov

We examine quantum transport in periodic quantum graphs with a vertex coupling non-invariant with respect to time reversal. It is shown that the graph topology may play a decisive role in the conductivity properties illustrating this claim…

Mathematical Physics · Physics 2020-05-20 Pavel Exner , Jiri Lipovsky

Transport through edge-channels is responsible for conduction in quantum Hall (QH) phases. Topology dictates quantization of both charge and thermal transport coefficients. These turn out to approach robust quantized values when incoherent…

Using real-space dynamical mean field quantum Monte Carlo simulations, we study the optical conductivity of two-dimensional topological Kondo insulating states. We consider model parameters which allow us to consider mixed valence and local…

Strongly Correlated Electrons · Physics 2014-12-02 Kuang-Shing Chen , Jan Werner , Fakher Assaad

Disordered hyperuniform many-particle systems have attracted considerable recent attention. One important class of such systems is the classical ground states of "stealthy potentials." The degree of order of such ground states depends on a…

Statistical Mechanics · Physics 2017-01-02 G. Zhang , F. H. Stillinger , S. Torquato

Low-energy transport in quantum Hall states is carried through edge modes, and is dictated by bulk topological invariants and possibly microscopic Boltzmann kinetics at the edge. Here we show how the presence or breaking of symmetries of…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Jinhong Park , Bernd Rosenow , Yuval Gefen

Time-periodic (Floquet) topological phases of matter exhibit bulk-edge relationships that are more complex than static topological insulators and superconductors. Finding the edge modes unique to driven systems usually requires numerics.…

Quantum Gases · Physics 2016-12-28 Indubala I. Satija , Erhai Zhao

We present numerical results for the spin and thermal conductivity of one-dimensional (1D) quantum spin systems. We contrast the properties of integrable models such as the spin-1/2 XXZ chain against nonintegrable ones such as frustrated…

Strongly Correlated Electrons · Physics 2008-01-09 F. Heidrich-Meisner , A. Honecker , W. Brenig

In order to transport information with topological protection, we reveal and demonstrate experimentally the existence of a characteristic length $L_c$, coined as the transport length, in the bulk size for edge states in one-dimensional…

We consider the differential conductance of a periodically driven system connected to infinite electrodes. We focus on the situation where the dissipation occurs predominantly in these electrodes. Using analytical arguments and a detailed…

Mesoscale and Nanoscale Physics · Physics 2015-10-07 Michel Fruchart , Pierre Delplace , Joseph Weston , Xavier Waintal , David Carpentier

Josephson junctions defined in strong spin orbit semiconductors are highly interesting for the search for topological systems. However, next to topological edge states that emerge in a sufficient magnetic field, trivial edge states can also…

Artificial Kitaev chains engineered from semiconducting quantum dots coupled by superconducting segments offer a promising route to realize and control Majorana bound states for topological quantum computation. We study a dimerized Kitaev…

Materials Science · Physics 2025-09-15 Rafael Pineda Medina , Pablo Burset , William J. Herrera

Topological phases of matter are protected from local perturbations and therefore have been thought to be robust against decoherence. However, it has not been systematically explored whether and how topological states are dynamically robust…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 Yu-Wei Huang , Pei-Yun Yang , I-Chi Chen , Wei-Min Zhang

We investigate quantum transport in an off-diagonal Aubry--Andr\'e--Harper chain. The periodic hopping modulation generates effective internal boundaries that strongly influence the transmission characteristics. We show that edge, in-band…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 Moumita Patra

Topological superconductivity (TSC) hosts exotic modes enabling error-free quantum computation and low-temperature spintronics. Despite preliminary evidence of edge modes, unambiguous signatures remain undetected. Here, we report the first…

In this work, we develop a systematical approach of constructing and classifying the model Hamiltonians for two-dimensional (2D) higher-order topological phase with corner zero energy states (CZESs). Our approach is based on the direct…

Mesoscale and Nanoscale Physics · Physics 2023-09-20 Xun-Jiang Luo , Xiao-Hong Pan , Chao-Xing Liu , Xin Liu

Topological superconductivity is an exotic state of matter that supports Majorana zero-modes, which are surface modes in 3D, edge modes in 2D or localized end states in 1D. In the case of complete localization these Majorana modes obey…

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