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We study tunneling through an edge state formed around an antidot in the fractional quantum Hall regime using Wen's chiral Luttinger liquid theory extended to include mesoscopic effects. We identify a new regime where the Aharonov-Bohm…

凝聚态物理 · 物理学 2009-10-28 Michael R. Geller , Daniel Loss , George Kirczenow

Transport of single-channel spinless interacting fermions (Luttinger liquid) through a barrier has been studied by numerically exact quantum Monte Carlo methods. A novel stochastic integration over the real-time paths allows for direct…

凝聚态物理 · 物理学 2009-10-28 Kevin Leung , Reinhold Egger , C. H. Mak

We propose a way to simulate mesoscopic transport processes with counter-propagating wavepackets of ultracold atoms in quasi one-dimensional (1D) waveguides, and show quantitative agreement with analytical results. The method allows the…

量子气体 · 物理学 2015-10-22 Kunal K. Das

In the present review we make a comprehensive analysis of our understanding on electron transport in mesoscopic single-channel rings and multi-channel cylinders within a tight-binding framework. A spectacular mesoscopic phenomenon where a…

介观与纳米尺度物理 · 物理学 2013-05-22 Santanu K. Maiti

We theoretically investigate transport in a spin incoherent one dimensional electron system, which may be realized in quantum wires at low electron density and finite temperature. Both the pure and disordered cases are considered, both in…

介观与纳米尺度物理 · 物理学 2007-05-23 Gregory A. Fiete , Karyn Le Hur , Leon Balents

We rigorously analyze the quantum phase transition between a metallic and an insulating phase in (non solvable) interacting spin chains or one dimensional fermionic systems. In particular, we prove the persistence of Luttinger liquid…

数学物理 · 物理学 2014-06-16 F. Bonetto , V. Mastropietro

We propose a dynamical scheme for measuring the full counting statistics in a mesoscopic conductor using an electronic Mach-Zehnder interferometer. The conductor couples capacitively to one arm of the interferometer and causes a phase shift…

介观与纳米尺度物理 · 物理学 2016-10-03 David Dasenbrook , Christian Flindt

The Luttinger model of the one-dimensional Fermi gas is the cornerstone of modern understanding of interacting electrons in one dimension. In fact, the enormous class of systems whose universal behavior is adiabatically connected to it are…

强关联电子 · 物理学 2007-05-23 Cristina Bena , Smitha Vishveshwara , Leon Balents , Matthew P. A. Fisher

We solve a very general two-channel fermion-boson model describing charge transport within some background medium by means of a refined pseudo-site density matrix renormalization group (DMRG) technique. Performing a careful finite-size…

强关联电子 · 物理学 2009-11-13 S. Ejima , G. Hager , H. Fehske

The interface between a heavy electron coherent metallic phase and an incoherent normal metal phase is discussed. The Fermi momentum mismatch between the two phases causes the carriers to scatter at the interface. The interface conductance…

强关联电子 · 物理学 2009-11-11 M. A. N. Araujo , A. H. Castro Neto

We explore the weak-strong-coupling Bose-Fermi duality in a model of a single-channel integer or fractional quantum Hall edge state with a finite-range interaction. The system is described by a chiral Luttinger liquid with non-linear…

强关联电子 · 物理学 2015-05-13 I. V. Protopopov , D. B. Gutman , A. D. Mirlin

This review illustrates how Local Fermi Liquid (LFL) theories describe the strongly correlated and coherent low-energy dynamics of quantum dot devices. This approach consists in an effective elastic scattering theory, accounting exactly for…

介观与纳米尺度物理 · 物理学 2020-09-01 Michele Filippone , Arthur Marguerite , Karyn Le Hur , Gwendal Fève , Christophe Mora

A nonlinear phase shift is introduced to a Mach-Zehnder interferometer (MZI), and we present a scheme for enhancing the phase sensitivity. In our scheme, one input port of a standard MZI is injected with a coherent state and the other input…

量子物理 · 物理学 2020-10-29 Gao-Feng Jiao , Keye Zhang , L. Q. Chen , Weiping Zhang , Chun-Hua Yuan

The fractional quantum Hall effect (FQHE) in two-dimensional electron system (2DES) is an exotic, superfluid-like matter with an emergent topological order. From the consideration of Aharonov-Bohm interaction of electrons and magnetic…

介观与纳米尺度物理 · 物理学 2017-11-02 W. Pan , W. Kang , K. W. Baldwin , K. W. West , L. N. Pfeiffer , D. C. Tsui

We propose a new non-Fermi liquid ground state in one dimension that is not of the Luttinger type. It is the ground state of fermions interacting via a long range repulsive interaction in real space of the form $ V(x) = e^2/|x| $. We…

介观与纳米尺度物理 · 物理学 2009-09-29 Girish S. Setlur , HRI

We present a theory of the isotropic-nematic quantum phase transition in the composite Fermi liquid arising in half-filled Landau levels. We show that the quantum phase transition between the isotropic and the nematic phase is triggered by…

强关联电子 · 物理学 2016-05-04 Yizhi You , Gil Young Cho , Eduardo Fradkin

We develop a theory for a generic instability of a Fermi liquid in dimension d>1 against the formation of a Luttinger-liquid-like state. The density of states at the Fermi level is the order parameter for the ensuing quantum phase…

强关联电子 · 物理学 2013-10-01 T. R. Kirkpatrick , D. Belitz

The destruction of quantum-mechanical phase coherence by a fluctuating quantum bath has been investigated mostly for a single particle. However, for electronic transport through disordered samples and mesoscopic interference setups, we have…

介观与纳米尺度物理 · 物理学 2015-06-25 Florian Marquardt

The distribution of electron waiting times is useful to characterize quantum transport in mesoscopic structures. Here we consider a generic quantum-coherent conductor consisting of a mesoscopic scatterer in a two-terminal setup. We extend…

介观与纳米尺度物理 · 物理学 2014-12-04 Géraldine Haack , Mathias Albert , Christian Flindt

One-dimensional metals, such as quantum wires or carbon nanotubes, can carry charge in arbitrary units, smaller or larger than a single electron charge. However, according to Luttinger theory, which describes the low-energy excitations of…

强关联电子 · 物理学 2025-12-31 Karyn Le Hur , Bertrand I. Halperin , Amir Yacoby
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