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We analyze the uniform conductivity of a one dimensional degenerate fermion system placed in a random disorder potential so smooth that backward scattering can be neglected. We use the nonlinear Luttinger liquid model to consider effects of…

Strongly Correlated Electrons · Physics 2025-07-31 A. A. Dontsov , D. N. Aristov , A. P. Dmitriev

The one-dimensional (1D) Yang-Gaudin model-an integrable $\delta$-function interacting Fermi gas, serves as a paradigm in quantum many-body physics, encompassing phenomena from spin-charge separation to the Luther-Emery liquid. However, a…

Quantum Gases · Physics 2026-03-17 Hai-Ying Cui , Yu-Hao Yeh , Randall G. Hulet , Han Pu , Thierry Giamarchi , Xi-Wen Guan

We report on refined experimental results concerning the low-temperature specific heat of the frustrated spin tube material [(CuCl2tachH)3Cl]Cl2. This substance turns out to be an unusually perfect spin tube system which allows to study the…

Strongly Correlated Electrons · Physics 2010-08-30 N. B. Ivanov , J. Schnack , R. Schnalle , J. Richter , P. Koegerler , G. N. Newton , L. Cronin , Y. Oshima , Hiroyuki Nojiri

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

We explore the low-frequency noise of interacting electrons in a one-dimensional structure (quantum wire or interaction-coupled edge states) with counterpropagating modes, assuming a single channel in each direction. The system is driven…

Strongly Correlated Electrons · Physics 2015-10-20 J. K. Kühne , I. V. Protopopov , Y. Oreg , A. D. Mirlin

Dynamics of integrable systems, such as Tomonaga-Luttinger (TL) liquids, is deterministic, and the absence of stochastic thermalization processes provides unique characteristics, such as long-lived non-thermal metastable states with many…

Mesoscale and Nanoscale Physics · Physics 2023-05-16 Kotaro Suzuki , Tokuro Hata , Yuya Sato , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

Dirac materials are systems in which the dispersion is linear in the vicinity of the Dirac points. As a consequence of this linear dispersion, these systems exhibit unusual behavior and possess unique physical properties that are of great…

Strongly Correlated Electrons · Physics 2019-03-05 Matthew P. Gochan , Kevin S. Bedell

The Luttinger Theorem, which relates the electron density to the volume of the Fermi surface in an itinerant electron system, is taken to be one of the essential features of a Fermi liquid. The microscopic derivation of this result depends…

Strongly Correlated Electrons · Physics 2018-09-17 O. J. Curtin , Y. Nishikawa , A. C. Hewson , D. J. G. Crow

We study the current produced in a Tomonaga-Luttinger liquid by an applied bias and by weak, point-like impurity potentials which are oscillating in time. We use bosonization to perturbatively calculate the current up to second order in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Amit Agarwal , Diptiman Sen

In this work we discuss extensions of the pioneering analysis by Dzyaloshinskii and Larkin of correlation functions for one-dimensional Fermi systems, focusing on the effects of quasiparticle relaxation enabled by a nonlinear dispersion.…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 Alex Levchenko , Tobias Micklitz

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…

Strongly Correlated Electrons · Physics 2015-05-13 I. V. Protopopov , D. B. Gutman , A. D. Mirlin

We study the low-temperature properties of a spin-\onehalf\ magnetic impurity coupled to a one-dimensional interacting electron system. Using the newly developed formalism by Affleck and Ludwig, with a scale invariant boundary condition…

Condensed Matter · Physics 2009-10-28 Per Frojdh , Henrik Johannesson

We present Angle-Resolved Photoemission Spectroscopy measurements of the quasi-one dimensional superconductor K$_2$Cr$_3$As$_3$. We find that the Fermi surface contains two Fermi surface sheets, with linearly dispersing bands not displaying…

We develop a continuous-time quantum Monte Carlo (CTQMC) method for quantum impurities coupled to interacting quantum wires described by a Tomonaga-Luttinger liquid. The method is negative-sign free for any values of the Tomonaga-Luttinger…

Strongly Correlated Electrons · Physics 2015-06-19 K. Hattori , A. Rosch

Tomonaga-Luttinger liquids (TLLs) can be used to effectively describe one-dimensional quantum many-body systems such as ultracold atoms, charges in nanowires, superconducting circuits, and gapless spin chains. Their properties are given by…

Statistical Mechanics · Physics 2022-01-21 Marek Gluza , Per Moosavi , Spyros Sotiriadis

We report on the Tomonaga-Luttinger liquid (TLL) behavior in fully degenerate 1D Dirac fermions. A ternary van der Waals material Nb$_9$Si$_4$Te$_{18}$ incorporates in-plane NbTe$_2$ chains, which produce a 1D Dirac band crossing Fermi…

Strongly Correlated Electrons · Physics 2023-09-06 Qirong Yao , Hyunjin Jung , Kijeong Kong , Chandan De , Jaeyoung Kim , Jonathan D. Denlinger , Han Woong Yeom

Quantum dynamics is very sensitive to dimensionality. While two-dimensional electronic systems form Fermi liquids, one-dimensional systems -- Tomonaga-Luttinger liquids -- are described by purely bosonic excitations, even though they are…

The study of this paper demonstrates that electron has Dirac delta like internal momentum (u,p_{{\theta}}), going round in a circle of radius equal to half the reduced Compton wavelength of electron with tangential velocity c. The circular…

General Physics · Physics 2016-02-25 Malik Mohammad Asif , Salman Khan

The light-cone spreading of entanglement and correlation is a fundamental and ubiquitous feature of homogeneous extended quantum systems. Here we point out that a class of inhomogenous Luttinger liquids (those with a uniform Luttinger…

Strongly Correlated Electrons · Physics 2017-09-07 Jérôme Dubail , Jean-Marie Stéphan , Pasquale Calabrese

We study the effect that resistive regions have on the conductance of a quantum wire with interacting electrons which is connected to Fermi liquid leads. Using the bosonization formalism and a Rayleigh dissipation function to model the…

Mesoscale and Nanoscale Physics · Physics 2011-03-17 Abhiram Soori , Diptiman Sen
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