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We show that the interlayer tunneling I--V in double-layer quantum Hall states displays a rich behavior which depends on the relative magnitude of sample size, voltage length scale, current screening, disorder and thermal lengths. For weak…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Leon Balents , Leo Radzihovsky

One-dimensional (1D) topologically protected states are usually formed at the interface between two-dimensional (2D) materials with different topological invariants. Therefore, 1D chiral interface channels (CICs) can be created at the…

Mesoscale and Nanoscale Physics · Physics 2023-02-14 Yi-Fan Zhao , Ruoxi Zhang , Jiaqi Cai , Deyi Zhuo , Ling-Jie Zhou , Zi-Jie Yan , Moses H. W. Chan , Xiaodong Xu , Cui-Zu Chang

The electronic transport of a noninteracting quantum ring side-coupled to a quantum wire is studied via a single-band tunneling tight-binding Hamiltonian. We found that the system develops an oscillating band with antiresonances and…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 P. A. Orellana , M. L. Ladron de Guevara , M. Pacheco , A. Latge

We consider a honeycomb network built of quantum wires, with each node of the network having a Y-junction of three wires with a ring through which flux can be inserted. The junctions are the basic circuit elements for the network, and they…

Strongly Correlated Electrons · Physics 2013-02-13 Jaime Medina , Dmitry Green , Claudio Chamon

We study interacting GaAs hole bilayers in the limit of zero tunneling. When the layers have equal densities, we observe a phase coherent bilayer quantum Hall (QH) state at total filling factor $\nu=1$, flanked by insulating phases at…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. Tutuc , S. Melinte , E. P. De Poortere , R. Pillarisetty , M. Shayegan

Motivated by recent experimental findings, we study transport in a simple phenomenological model of a quantum Hall edge system with a gate-voltage controlled constriction lowering the local filling factor. The current backscattered from the…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Siddhartha Lal

We consider the edge transport properties of a generic class of interacting quantum Hall systems on a cylinder, in the infinite volume and zero temperature limit. We prove that the large-scale behavior of the edge correlation functions is…

Mathematical Physics · Physics 2022-10-05 Vieri Mastropietro , Marcello Porta

We calculate the tunnelling current through a Fabry-P\'{e}rot interferometer in the fractional quantum Hall regime. Within linear response theory (weak tunnelling but arbitrary source-drain voltage) we find a general expression for the…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 Olaf Smits , Steven H. Simon , J. K. Slingerland

Hall and diagonal resistances of bilayer fractional quantum Hall systems are discussed theoretically. The bilayers have electrodes attached separately to each layer. They are assumed to be coupled weakly by interlayer tunneling, while the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Daijiro Yoshioka , Kentaro Nomura

We explain how (perturbed) boundary conformal field theory allows us to understand the tunneling of edge quasiparticles in non-Abelian topological states. The coupling between a bulk non-Abelian quasiparticle and the edge is due to resonant…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Paul Fendley , Matthew P. A. Fisher , Chetan Nayak

A quantum Hall (QH) interface is different from an ordinary QH edge, as the latter has its location determined by the confining potential, while the former can be unpinned and behave like a free string. In this paper, we demonstrate this…

Mesoscale and Nanoscale Physics · Physics 2021-09-13 Qi Li , Ken K. W. Ma , Ruojun Wang , Zi-Xiang Hu , Hao Wang , Kun Yang

By using bosonization method and unitary transformation, we give a general relation between the dimensionless tunneling conductance and the fractional Coulomb blockade conductance peak splitting which is valid both for weak and strong…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Yu-Liang Liu

A noninteracting quantum-dot array side-coupled to a quantum wire is studied. Transport through the quantum wire is investigated by using a noninteracting Anderson tunneling Hamiltonian. The conductance at zero temperature develops an…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. A. Orellana , F. Dominguez-Adame , I. Gomez , M. L. Ladron de Guevara

We study the edges of fractional quantum spin Hall insulators (FQSH) with half-integer spin Hall conductance. These states can be viewed as symmetric combinations of a spin-up and spin-down half-integer fractional quantum Hall state (FQH)…

Mesoscale and Nanoscale Physics · Physics 2024-03-08 Julian May-Mann , Ady Stern , Trithep Devakul

Electrical and thermal transport on a fractional quantum Hall edge are determined by topological quantities inherited from the corresponding bulk state. While electrical transport is the standard method for studying edges, thermal transport…

Mesoscale and Nanoscale Physics · Physics 2019-10-01 Christian Spånslätt , Jinhong Park , Yuval Gefen , Alexander D. Mirlin

We study the electronic transport through a quantum wire (QW) with a strong side coupled quantum dot (QD). We obtain a linear conductance with lateral peaks when the gate voltage, is located near the edge of the conduction band. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. Franco , E. V Anda , M. S. Figueira

Electrical and thermal conductances of a quantum Hall bar reflect the topological structure of the incompressible bulk phase. Here we show that noise of electrical current carried through the edge evidences the interplay between these two…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Jinhong Park , Alexander D. Mirlin , Bernd Rosenow , Yuval Gefen

We study the critical properties of the quantum anomalous Hall (QAH) plateau transition in magnetic topological insulators. We introduce a microscopic model for the plateau transition in QAH effect at the coercive field and then map it to…

Mesoscale and Nanoscale Physics · Physics 2014-02-11 Jing Wang , Biao Lian , Shou-Cheng Zhang

Momentum resolved magneto-tunnelling spectroscopy is performed at a single sharp quantum Hall edge. We directly probe the structure of individual integer quantum Hall (QH) edge modes, and find that an epitaxially overgrown cleaved edge…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Huber , M. Grayson , M. Rother , W. Biberacher , W. Wegscheider , G. Abstreiter

The quantum anomalous Hall (QAH) state is a two-dimensional bulk insulator with a non-zero Chern number in absence of external magnetic fields. Protected gapless chiral edge states enable dissipationless current transport in electronic…

Mesoscale and Nanoscale Physics · Physics 2011-08-25 Hai-Jun Zhang , Xiao Zhang , Shou-Cheng Zhang