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We present a comprehensive numerical study of a microscopic model of the fractional quantum Hall system at filling fraction $\nu = 5/2$, based on the disc geometry. Our model includes Coulomb interaction and a semi-realistic confining…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Xin Wan , Zi-Xiang Hu , E. H. Rezayi , Kun Yang

We study charge and energy transfer in two-site molecular electronic junctions in which electron transport is assisted by a vibrational mode. To understand the role of mode harmonicity/anharmonicity on transport behavior, we consider two…

Mesoscale and Nanoscale Physics · Physics 2015-09-01 Bijay Kumar Agarwalla , Jian-Hua Jiang , Dvira Segal

We study a bilayer two-dimension-electron-gas (2DEG) adjacent to a type-II superconductor thin film with a pinned vortex lattice. We find that with increasing interlayer tunneling, the system of half filling presents three phases: gapped…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Ningning Hao , Wei Zhang , Zhigang Wang , Yupeng Wang , Ping Zhang

This paper discusses the topological and transport properties of binary heterostructures of different topological materials. The creation of multilayer devices is an alternative to building synthetic topological materials. By adjusting the…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 R. Pineda , W. Herrera

Room-temperature realization of macroscopic quantum phenomena is one of the major pursuits in fundamental physics. The quantum spin Hall state, a topological quantum phenomenon that features a two-dimensional insulating bulk and a helical…

We study backscattering of electrons and conductance suppression in a helical edge channel in two-dimensional topological insulators with broken axial spin symmetry in the presence of nonmagnetic point defects that create bound states. In…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 Vladimir A. Sablikov , Aleksei A. Sukhanov

Motivated by surprises in recent experimental findings, we study transport in a model of a quantum Hall edge system with a gate-voltage controlled constriction. A finite backscattered current at finite edge-bias is explained from a…

Mesoscale and Nanoscale Physics · Physics 2008-02-04 Siddhartha Lal

Research focused on heat transport in the quantum Hall (QH) edge channel has successfully addressed fundamental theoretical questions surrounding the QH physics. However, the picture of the edge channel is complicated by the phenomenon of…

Mesoscale and Nanoscale Physics · Physics 2023-04-18 J. N. Moore , A. Kamiyama , T. Mano , G. Yusa

Recent advancements in the field of topological band theory have significantly contributed to our understanding of intriguing topological phenomena observed in various classical and quantum systems, encompassing both wave and dissipative…

Optics · Physics 2023-07-04 Moladad Nikbakht , Farzam Bahmani

We show that every even-denominator fractional quantum Hall (FQH) state possesses at least two robust, topologically distinct gapless edge phases if charge conservation is broken at the boundary by coupling to a superconductor. The new edge…

Strongly Correlated Electrons · Physics 2015-07-24 Maissam Barkeshli , Chetan Nayak

We consider a fractional quantum Hall bilayer system with an interface between quantum Hall states of filling fractions $(\nu_{\text{top}},\nu_{\text{bottom}})=(1,1)$ and $(1/3,2)$, motivated by a recent approach to engineering artificial…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Jukka I. Väyrynen , Moshe Goldstein , Yuval Gefen

We study thermoelectric transport properties of fractional quantum Hall systems based on exact diagonalization calculation. Based on the relation between thermoelectric response and thermal entropy, we demonstrate that thermoelectric Hall…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 D. N. Sheng , Liang Fu

We propose the concept of 2D non-Abelian topological insulator which can explain the energy distributions of the edge states and corner states in systems with parity-time symmetry. From the viewpoint of non-Abelian band topology, we…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Tianshu Jiang , Ruo-Yang Zhang , Qinghua Guo , Biao Yang , C. T. Chan

Quantized Hall conductance is a generic feature of two dimensional electronic systems with broken time reversal symmetry. In the quantum anomalous Hall state recently discovered in magnetic topological insulators, time reversal symmetry is…

Current Luttinger liquid edge state theories for filling $\nu=2/3$ predict a non-universal Hall conductance, in disagreement with experiment. Upon inclusion of random edge tunnelling we find a phase transition into a new…

Condensed Matter · Physics 2009-10-22 C. L. Kane , M. P. A. Fisher , J. Polchinski

Two-dimensional topological insulators possess conducting edge states at their boundary while being insulating in the bulk. The detection of edge states remains an open question in ultracold atom setups. We propose a configuration to…

Quantum Gases · Physics 2020-06-30 Bernhard Irsigler , Jun-Hui Zheng , Walter Hofstetter

Nonequilibrium Floquet topological phases due to periodic driving are known to exhibit rich and interesting features with no static analogs. Various known topological invariants usually proposed to characterize static topological systems…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Muhammad Umer , Raditya Weda Bomantara , Jiangbin Gong

We study a bilayer Kane-Mele-Hubbard model with lattice distortion and inter-layer spin exchange interaction under cylinder geometry. Our analysis based on real-space dynamical mean field theory with continuous-time quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2016-09-07 Tsuneya Yoshida , Norio Kawakami

Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states. In condensed matter devices, material imperfections hinder a direct…

We propose a model with a quantized degree of freedom to study the heat transport in quasi-one dimensional system. Our simulations reveal three distinct temperature regimes. In particular, the intermediate regime is characterized by heat…

Disordered Systems and Neural Networks · Physics 2009-11-11 Jun-Wen Mao , You-Quan Li