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A two-dimensional quantum Hall system is studied for a wide class of potentials including single-body random potentials and repulsive electron-electron interactions. We assume that there exists a non-zero excitation gap above the ground…

介观与纳米尺度物理 · 物理学 2007-05-23 Tohru Koma

A theory of thermal transport in a two-channel Kondo system, such as the one formed by a small quantum dot coupled to two leads and to a larger dot, is formulated. The interplay of the two screening constants allows an exploration of the…

介观与纳米尺度物理 · 物理学 2011-06-27 C. P. Moca , A. Roman , D. C. Marinescu

The quantum Hall conductivity in the presence of constant magnetic field may be represented as the topological TKNN invariant. Recently the generalization of this expression has been proposed for the non - uniform magnetic field. \rev{The…

介观与纳米尺度物理 · 物理学 2019-10-23 C. X. Zhang , M. A. Zubkov

We study the electron transport in open quantum-dot systems described by the interacting resonant-level models with Coulomb interactions. We consider the situation in which the quantum dot is connected to the left and right leads…

介观与纳米尺度物理 · 物理学 2015-06-23 Akinori Nishino , Naomichi Hatano , Gonzalo Ordonez

I argue that the incoherent, zero-frequency limit of the universal crossover function in the temperature-dependent conductivity at the superconductor-insulator transition in disordered systems may be understood as an analytic function of…

超导电性 · 物理学 2009-10-31 Igor F. Herbut

We derive a Kubo-like formula for the thermal Hall conductance of a 2d lattice systems which is free from ambiguities associated with the definition of energy magnetization. We use it to define a relative topological invariant of gapped 2d…

强关联电子 · 物理学 2020-02-05 Anton Kapustin , Lev Spodyneiko

We show that any critical transition region between two adjacent Hall plateaus in either integer or fractional quantum Hall effect is characterized by a universal semi-circle relationship between the longitudinal and transverse…

凝聚态物理 · 物理学 2009-10-22 Igor Ruzin , Shechao Feng

We consider quantum transport of spinless fermions in a 1D lattice embedding an interacting region (two sites with inter-site repulsion U and inter-site hopping td, coupled to leads by hopping terms tc). Using the numerical renormalization…

介观与纳米尺度物理 · 物理学 2010-02-09 Axel Freyn , Jean-Louis Pichard

The finite-size Tomonaga-Luttinger Hamiltonian with an arbitrary potential is mapped onto a non-interacting Fermi gas with renormalized potential. This is done by means of flow equations for Hamiltonians and is valid for small…

强关联电子 · 物理学 2009-11-10 T. Stauber

We theoretically study the Hall effect on interacting $M$-leg ladder systems, comparing different measures and properties of the zero temperature Hall response in the limit of weak magnetic fields. Focusing on $SU(M)$ symmetric interacting…

量子气体 · 物理学 2019-03-06 Sebastian Greschner , Michele Filippone , Thierry Giamarchi

We study point-contact tunneling in the integer quantum Hall state of bosons. This symmetry-protected topological state has electrical Hall conductivity equal to $2 e^2/h$ and vanishing thermal Hall conductivity. In contrast to the integer…

强关联电子 · 物理学 2014-07-24 Michael Mulligan , Matthew P. A. Fisher

A numerical renormalization-group study of the conductance through a quantum wire side-coupled to a quantum dot is reported. The temperature and the dot-energy dependence of the conductance are examined in the light of a recently derived…

介观与纳米尺度物理 · 物理学 2010-01-13 A. C. Seridonio , M. Yoshida , L. N. Oliveira

We study the elliptic spin-1/2 Kondo model (spin-1/2 fermions in one dimension with fully anisotropic contact interactions with a magnetic impurity) in the light of mappings to bosonic systems using the fermion-boson correspondence and…

强关联电子 · 物理学 2015-05-27 Sol H. Jacobsen , P. D. Jarvis

Due to the vast growth of the many-body level density with excitation energy, its smoothed form is of central relevance for spectral and thermodynamic properties of interacting quantum systems. We compute the cumulative of this level…

量子气体 · 物理学 2019-06-26 Quirin Hummel , Juan Diego Urbina , Klaus Richter

Novel controlled non-perturbative techniques are a must in the study of strongly correlated systems, especially near quantum criticality. One of these techniques, bosonization, has been extensively used to understand one-dimensional, as…

强关联电子 · 物理学 2018-11-01 Daniel G. Barci , Eduardo Fradkin , Leonardo Ribeiro

Recent experimental advances probing coherent phonon and electron transport in nanoscale devices at contact have motivated theoretical channel-based analyses of conduction based on the nonequilibrium Green's function formalism. The…

介观与纳米尺度物理 · 物理学 2020-08-12 Prashanth S. Venkataram , Sean Molesky , Juan Carlos Cuevas , Alejandro W. Rodriguez

We study two-dimensional systems with Galilean invariance gapped under magnetic fields. When such quantum Hall systems are coupled with external sources for charge, energy, and momentum currents, they exhibit invariance under the Milne…

介观与纳米尺度物理 · 物理学 2024-11-15 Tatsuya Amitani , Yusuke Nishida

Ultracold neutral bosons in a rapidly rotating atomic trap have been predicted to exhibit fractional quantum Hall-like states. We describe how the composite fermion theory, used in the description of the fractional quantum Hall effect for…

介观与纳米尺度物理 · 物理学 2007-05-23 N. Regnault , C. C. Chang , Th. Jolicoeur , J. K. Jain

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…

数学物理 · 物理学 2022-10-05 Vieri Mastropietro , Marcello Porta

The directed network model describing chiral edge states on the surface of a cylindrical 3D quantum Hall system is known to map to a one-dimensional quantum ferromagnetic spin chain. Using the spin wave expansion for this chain, we…

介观与纳米尺度物理 · 物理学 2009-10-30 Ilya A. Gruzberg , N. Read , Subir Sachdev