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We show that a doped spin-1/2 ladder with antiferromagnetic intra-chain and ferromagnetic inter-chain coupling is a symmetry protected topologically non-trivial Luttinger liquid. Turning on a large easy-plane spin anisotropy drives the…

Strongly Correlated Electrons · Physics 2018-10-16 Hong-Chen Jiang , Zi-Xiang Li , Alexander Seidel , Dung-Hai Lee

We investigate the c-axis optical conductivity and d.c. resistivity of cuprate superconductors in the normal state. Assuming that the interlayer hopping is incoherent we express the conductivity with planar spectral functions obtained (i)…

Strongly Correlated Electrons · Physics 2009-10-31 A. Ramsak , I. Sega , P. Prelovsek

We consider interacting one-dimensional, spinless Fermi gases, whose low-energy properties are described by Luttinger liquid theory. We perform a systematic, in-depth analysis of the relation between the macroscopic, phenomenological…

Quantum Gases · Physics 2015-05-15 Manuel Valiente , Lawrence G. Phillips , Nikolaj T. Zinner , Patrik Ohberg

The nonlinear Luttinger liquid phenomenology of one-dimensional correlated Fermi systems is an attempt to describe the effect of the band curvature beyond the Tomonaga-Luttinger liquid paradigm. It relies on the observation that the…

Strongly Correlated Electrons · Physics 2019-10-10 L. Markhof , M. Pletyukhov , V. Meden

One dimensional metals are described by Luttinger liquid theory. Recent experiments have addressed the relation between this non-Fermi liquid behavior and the existence of a Fermi surface. We show that Luttinger's theorem, with few…

Strongly Correlated Electrons · Physics 2009-10-28 Krastan B. Blagoev , Kevin S. Bedell

For many years, the Luttinger liquid theory has served as a useful paradigm for the description of one-dimensional (1D) quantum fluids in the limit of low energies. This theory is based on a linearization of the dispersion relation of the…

Strongly Correlated Electrons · Physics 2012-09-18 Adilet Imambekov , Thomas L. Schmidt , Leonid I. Glazman

We consider a system of spinless fermions in a nearly one-dimensional cylindrical trap, with the Fermi level such that only the lowest-lying states with angular momenta l = +hbar, 0, or -hbar about the axis of the trap are occupied. We…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Altschul

Tunnelling impurities in metals have been known for some time to have the potential for exhibiting Kondo-like physics. However previous models based on an impurity hopping between two equivalent positions have run into trouble due to the…

Condensed Matter · Physics 2009-10-28 Aris L. Moustakas , Daniel S. Fisher

We calculate the correlation functions and the DC conductivity of Luttinger liquid superlattices, modeled by a repeated pattern of interacting and free Luttinger liquids. In a specific realization, where the interacting subsystem is a…

Strongly Correlated Electrons · Physics 2007-05-23 J. Silva-Valencia , E. Miranda , Raimundo R. dos Santos

The spinless fermion model with hard core repulsive potential extended on a few lattice sites is considered.The Luttinger liquid behaviour is studied for the different values of a hard core radius. A critical exponent of the one particle…

Strongly Correlated Electrons · Physics 2009-11-07 Igor N. Karnaukhov , Alexander A. Ovchinnikov

We discuss the appearance of magnetic and charge instabilities, named respectively metamagnetism (MM) and phase separation (PS), in systems which can be described by a perturbed Luttinger liquid. We argue that such instabilities can be…

Strongly Correlated Electrons · Physics 2009-11-07 D. C. Cabra , J. E. Drut

The problem of a local impurity in a Luttinger liquid, just like the anisotropic Kondo problem (of which it is technically a cousin), describes many different physical systems. As shown by Kane and Fisher, the presence of interactions…

Strongly Correlated Electrons · Physics 2025-01-09 Chunyu Tan , Yuxiao Hang , Stephan Haas , Hubert Saleur

It is commonly believed that strongly interacting one-dimensional Fermi systems with gapless excitations are effectively described by Luttinger liquid theory. However, when the temperature of the system is high compared to the spin energy,…

Strongly Correlated Electrons · Physics 2011-05-17 Adrian E. Feiguin , Gregory A. Fiete

Deviations from Fermi liquid behavior are well documented in the normal state of the cuprate superconductors, and some of these differences are possibly related to pre-formed pairs appearing at temperatures above T_c. In order to test these…

Strongly Correlated Electrons · Physics 2009-10-31 M. Letz , R. J. Gooding

Using its Conformal Field Theory description, the Luttinger liquid is coupled to the quantum electromagnetic field. We compute the decoherence properties of a superposition of two states obtained by creating the same elementary excitation…

Strongly Correlated Electrons · Physics 2007-05-23 P. Degiovanni , S. Peysson

The ground-state properties of one-dimensional 3He are studied using quantum Monte Carlo methods. The equation of state is calculated in a wide range of physically relevant densities and is well reproduced by a power-series fit. The…

Quantum Gases · Physics 2015-01-12 G. E. Astrakharchik , J. Boronat

An introductory survey of the theoretical ideas and calculations and the experimental results which depart from Landau Fermi-liquids is presented. Common themes and possible routes to the singularities leading to the breakdown of Landau…

Strongly Correlated Electrons · Physics 2009-11-07 C. M. Varma , Z. Nussinov , W. van Saarloos

The out-of-plane hopping in layered metals with strong electronic correlation is analyzed theoretically. By studying the effects of in-plane interactions on the interlayer tunnelling we investigate one of the oldest unresolved problems of…

Superconductivity · Physics 2007-05-23 F. Guinea , M. P. Lopez-Sancho , M. A. H. Vozmediano

In recent years the notion of intrinsic decoherence and dephasing of a particle interacting with its environment is being investigated intensively. This has an important bearing on a plausible causal connection between incoherent c-axis…

Superconductivity · Physics 2007-05-23 T. P. Pareek , A. M. Jayannavar , N. Kumar

This chapter reviews the effects of interactions in quasi-one dimensional systems, such as the Bechgaard and Fabre salts, and in particular the Luttinger liquid physics. It discusses in details how transport measurements both d.c. and a.c.…

Strongly Correlated Electrons · Physics 2015-06-25 T. Giamarchi