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We demonstrate that an undoped two-dimensional carbon plane (graphene) whose bulk is in the integer quantum Hall regime supports a non-chiral Luttinger liquid at an armchair edge. This behavior arises due to the unusual dispersion of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 H. A. Fertig , Luis Brey

We investigate the physics of a Tomonaga-Luttinger liquid of spin-polarized fermions superimposed on an ion chain. This compound system features (attractive) long-range interspecies interactions. By means of density matrix renormalization…

Quantum Gases · Physics 2020-01-23 Andreas Bock Michelsen , Manuel Valiente , Nikolaj Zinner , Antonio Negretti

In order to study the tunneling of electrons through an interacting, 1D, dimerized molecule connected to leads, we consider the persistent current in a ring embedding this molecule. We find numerically that, for spinless fermions, a…

Strongly Correlated Electrons · Physics 2009-10-31 Julien Favand , Frederic Mila

Split-gate constrictions can be used to produce controllable scattering in a fractional quantum Hall state and constitute a very versatile model system for the investigation of non-Fermi physics in edge states. Controllable inter-edge…

Mesoscale and Nanoscale Physics · Physics 2009-03-24 Stefano Roddaro , Vittorio Pellegrini , Fabio Beltram

An instability of the quasi-1D Luttinger liquid associated with the metal - insulator transition is considered. The homogeneous metal ground state of this liquid is demonstrated to be unstable and the charge-density wave arises in the…

Strongly Correlated Electrons · Physics 2009-10-31 V. S. Babichenko

The role of self-generated zonal flows in the collisionless trapped-electron mode (CTEM) turbulence is a long-standing open issue in tokamak plasmas. Here we show, for the first time, that the zonal flow excitation in the CTEM turbulence is…

Plasma Physics · Physics 2022-01-26 Haotian Chen , Liu Chen

We report on quantum interference between a pair of counterpropagating quantum Hall edge states that are separated by a high quality tunnel barrier. Observed Aharonov-Bohm oscillations are analyzed in terms of resonant tunneling between…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. Yang , W. Kang , L. N. Pfeiffer , K. W. Baldwin , K. W. West , Eun-Ah Kim , E. Fradkin

We present theoretical calculations and experimental measurements which reveal the Luttinger-liquid (LL) nature of elementary excitations in a system consisting of two quantum wires connected by a long narrow tunnel junction at the edge of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yaroslav Tserkovnyak , Bertrand I. Halperin , Ophir M. Auslaender , Amir Yacoby

We establish a theoretical framework for artificial control of the power-law singularities in Tomonaga-Luttinger liquid states. The exponent governing the power-law behaviors is found to increase significantly with an increase in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Hiroyuki Shima , Shota Ono , Hideo Yoshioka

We study fractional quantum Hall states in the cylinder geometry with open boundaries. We focus on principal fermionic 1/3 and bosonic 1/2 fractions in the case of hard-core interactions. The gap behavior as a function of the cylinder…

Strongly Correlated Electrons · Physics 2012-10-08 Paul Soulé , Thierry Jolicoeur

Topological phase transitions occur when the electronic bands change their topological properties, typically featuring the closing of the bandgap. While the influence of topological phase transitions on electronic and optical properties has…

Materials Science · Physics 2021-01-04 Shengying Yue , Bowen Deng , Yanming Liu , Yujie Quan , Runqing Yang , Bolin Liao

For H-mode, standard decorrelation theory predicts that it is the turbulence intensity $|\phi_k|^2$ that is mainly affected via flow-induced shearing of turbulent eddies. However, for other regimes (e.g. I-mode, characterized by high energy…

Plasma Physics · Physics 2019-10-01 M. Leconte , R. Singh

Quantum Hall (QH) edge channels appear not only along the edge of the electron gas but also along an interface between two QH regions with different filling factors. However, the fundamental transport characteristics of such interface…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 Chaojing Lin , Masayuki Hashisaka , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

The quantum phase transition between a repulsive Luttinger liquid and an insulating Peierls state is studied in the framework of the one-dimensional spinless Holstein model. We focus on the adiabatic regime but include the full quantum…

Strongly Correlated Electrons · Physics 2011-03-08 Martin Hohenadler , Holger Fehske , Fakher F. Assaad

We study a Luttinger Liquid in a finite one-dimensional wire with box-like boundary conditions by considering the local distribution of the single particle spectral weight. This corresponds to the experimental probability of extracting a…

Strongly Correlated Electrons · Physics 2009-11-10 Fabrizio Anfuso , Sebastian Eggert

We investigate the stability of conducting and insulating phases in multichannel Luttinger liquids with respect to embedding a single impurity. We devise a general approach for finding critical exponents of the conductance in the limits of…

Strongly Correlated Electrons · Physics 2017-05-24 V. Kagalovsky , I. V. Lerner , I. V. Yurkevich

We study a system consisting of a Luttinger liquid coupled to a quantum dot on the boundary. The Luttinger liquid is expressed in terms of fermions interacting via density-density coupling and the dot is modeled as an interacting resonant…

Strongly Correlated Electrons · Physics 2020-06-09 Colin Rylands , Natan Andrei

Electron tunneling into a system with strong interactions is known to exhibit an anomaly, in which the tunneling conductance vanishes continuously at low energy due to many-body interactions. Recent measurements have probed this anomaly in…

Strongly Correlated Electrons · Physics 2018-05-17 Debanjan Chowdhury , Brian Skinner , Patrick A. Lee

Plasmons are fundamental excitations of metals which can be described in terms of electron dynamics, or in terms of the electromagnetic fields associated with them. In this work we develop a quantum description of plasmons in a double layer…

Mesoscale and Nanoscale Physics · Physics 2023-08-31 Luis Brey , H. A. Fertig

Plasmon modes of a two-dimensional lattice of long conducting circular wires are investigated by using an embedding technique to solve Maxwell's equations rigorously. The frequency-dependent density of states is calculated for various…

Materials Science · Physics 2007-05-23 J. M. Pitarke , J. E. Inglesfield , N. Giannakis
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