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Related papers: Equilibration of a one-dimensional quantum liquid

200 papers

We address two fundamental issues in the physics of the quantum Hall effect: a unified description of scaling behavior of conductances in the integral and fractional regimes, and a quasi-particle formulation of the chiral Luttinger Liquids…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 A. M. M. Pruisken , K. Schoutens

We analyze the applicability of the Fermi-golden-rule description of quasiparticle relaxation in a closed diffusive quantum dot with electron-electron interaction. Assuming that single-particle levels are already resolved but the initial…

Strongly Correlated Electrons · Physics 2016-04-29 Vladyslav A. Kozii , Mikhail A. Skvortsov

In the present paper one-dimensional two-component atomic Fermi gas is considered in long-wave limit as a Luttinger liquid. The mechanisms leading to instability of the non-Fermi-liquid state of a Luttinger liquid with two-level impurities…

Other Condensed Matter · Physics 2007-05-23 L. A. Manakova

The physics of quantum electromagnetism in an absorbing medium is that of a field of damped harmonic oscillators. Yet until recently the damped harmonic oscillator was not treated with the same kind of formalism used to describe quantum…

Quantum Physics · Physics 2013-08-01 T. G Philbin , S. A. R. Horsley

We study the dynamics of a heavy particle of mass $M$ moving in a one-dimensional repulsively interacting Fermi gas. The Fermi gas is described using the Luttinger model and bosonization. By transforming to a frame co-moving with the heavy…

Condensed Matter · Physics 2009-10-28 A. H. Castro Neto , Matthew P. A. Fisher

The temperature dependence of Coulomb blockade peaks of a one dimensional quantum dot is calculated. The Coulomb interaction is treated microscopically using the Luttinger liquid model. The electron interaction is assumed to be…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 T. Kleimann , M. Sassetti , B. Kramer

One dimensional conductors are described by Luttinger liquid theory, which predicts a power-law suppression of the density of states near the Fermi level. The scaling exponent is non-universal in the general case, but is predicted to be…

Mesoscale and Nanoscale Physics · Physics 2025-12-03 Liam A. Cohen , Noah L. Samuelson , Taige Wang , Takashi Taniguchi , Kenji Watanabe , Michael P. Zaletel , Andrea F. Young

Luttinger liquids occupy a special place in physics as the most understood case of essentially quantum many-body systems. The experimental mission of measuring its main prediction, power laws in observable quantities, has already produced a…

The ground states of interacting one-dimensional metals are generically Luttinger liquids. Luttinger liquid theory is usually considered for translation invariant systems. The Luttinger liquid description remains valid for weak…

Strongly Correlated Electrons · Physics 2024-07-16 T. J. Vongkovit , Hansveer Singh , Romain Vasseur , Sarang Gopalakrishnan

A recent work [Phys. Rev. Lett. 125, 110602] showed that among a pair of \textit{thermodynamically} equidistant quenches from a colder and a hotter initial state at a fixed ambient temperature, the relaxation from the colder initial state…

Quantum Physics · Physics 2021-11-30 Sreekanth K Manikandan

We present the theoretical basis for analyzing resonant Raman scattering experiments in one-dimensional systems described by the Luttinger liquid fixed point. We make experimentally testable predictions for distinguishing Luttinger liquids…

Strongly Correlated Electrons · Physics 2009-10-31 D. W. Wang , A. J. Millis , S. Das Sarma

We investigate the fate of a one-dimensional lattice superfluid formed by hard-core bosons, aka `atoms' (alternatively, a free spinless Fermi sea) subjected to nearest-neighbor attractive Hubbard-like interactions only in subgroups of two…

We propose a phenomenological approach to quantum liquids of particles obeying generalized statistics of a fermionic type, in the spirit of the Landau Fermi liquid theory. The approach is developed for fractional exclusion statistics. We…

Condensed Matter · Physics 2009-10-31 Serguei B. Isakov

We study a simple model of a quantum Hall system with the electrons confined to a linear, narrow channel. The system is mapped to a 1D system which in the low-energy approximation has the form of a Luttinger liquid with different…

Strongly Correlated Electrons · Physics 2009-11-13 Mats Horsdal , Jon Magne Leinaas

The signature for a non-Fermi liquid behavior near a quantum phase transition has been observed in thermal and transport properties of many metallic systems at low temperatures. In the present work we consider specific examples of itinerant…

Strongly Correlated Electrons · Physics 2009-10-30 Suresh G. Mishra , P. A. Sreeram

We experimentally study emergence of microcanonical equilibrium states in the turbulent relaxation dynamics of a two-dimensional chiral vortex gas. Same-sign vortices are injected into a quasi-two-dimensional disk-shaped atomic…

We present a dynamical description of slow relaxation processes based on the extension of Onsager's fluctuation theory to systems in local quasi-equilibrium. A non-Markovian Fokker-Planck equation for the conditional probability density is…

Statistical Mechanics · Physics 2009-11-10 I. Santamaria-Holek , A. Perez-Madrid , J. M. Rubi

We study the Kohn-Luttinger effect in a two-dimensional (2D) nested Fermion liquid with a repulsive interaction via the renormalization group method and identify the resulting order parameter symmetry. Using the band structure of the 2D…

Strongly Correlated Electrons · Physics 2009-10-28 Hyok-Jon Kwon

We give a brief introduction to Luttinger liquids and to the phenomena of electronic transport or conductance in quantum wires. We explain why the subject of transport in Luttinger liquids is relevant and fascinating and review some…

Strongly Correlated Electrons · Physics 2009-10-31 Sumathi Rao

We model one-dimensional transport through each open channel of a quantum wire by a Luttinger liquid with three different interaction parameters for the leads, the contact regions and the wire, and with two barriers at the contacts. We show…

Strongly Correlated Electrons · Physics 2009-10-31 Siddhartha Lal , Sumathi Rao , Diptiman Sen