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We calculate the exact Green function of a special model of N coupled Luttinger chains with arbitrary interchain hopping t_{perp}. The model is exactly solvable via bosonization if the interchain interaction does not fall off in the…

Strongly Correlated Electrons · Physics 2009-10-30 Lorenz Bartosch , Peter Kopietz

We discuss the conductance of a Luttinger liquid interrupted by a quantum dot containing a single resonant level. Using bosonisation and re-fermionisation methods, we find a mapping to a Kondo-type problem which possesses a non-trivial…

Strongly Correlated Electrons · Physics 2009-11-07 A. Komnik , A. O. Gogolin

We develop a scheme to make exactly solvable gauge theories whose electric flux lines host (1+1)-dimensional topological phases. We use this exact `decorated-string-net' framework to construct several classes of interesting models. In…

Strongly Correlated Electrons · Physics 2016-05-04 Daniel Ben-Zion , Diptarka Das , John McGreevy

We propose and investigate an exactly solvable model of non-equilibrium Luttinger liquid on a star graph, modeling a multi-terminal quantum wire junction. The boundary condition at the junction is fixed by an orthogonal matrix S, which…

Mathematical Physics · Physics 2013-02-22 Mihail Mintchev , Paul Sorba

We consider spinless electrons in two dimensions with the bare spectrum $\epsilon({\bf p})=|p_x|+|p_y|$. In momentum space, the interactions among electrons have a finite range $q_0$, which is small compared to the Fermi momentum. A golden…

Condensed Matter · Physics 2009-10-22 R. Hlubina

The conductivity properties between Luttinger liquids are analyzed by exact Renormalization Group methods. We prove that in a two chain system or in a model of bilayer graphene, described by two coupled fermionic honeycomb lattices…

Strongly Correlated Electrons · Physics 2015-05-20 Vieri Mastropietro

Recent experiments in twisted bilayer WTe$_2$ revealed the existence of anisotropic Luttinger liquid behavior. To generically characterize such anisotropic twisted bilayer systems, we study a model of a twisted bilayer of two-dimensional…

Strongly Correlated Electrons · Physics 2024-11-15 Yichen Hu , Yuanfeng Xu , Biao Lian

The Luttinger liquid (LL) model of one-dimensional (1D) electronic systems provides a powerful tool for understanding strongly correlated physics including phenomena such as spin-charge separation. Substantial theoretical efforts have…

We study how a Luttinger liquid of spinless particles in one dimension approaches thermal equilibrium. Full equilibration requires processes of backscattering of excitations which occur at energies of order of the bandwidth. Such processes…

Strongly Correlated Electrons · Physics 2012-01-25 K. A. Matveev , A. V. Andreev

One--particle interchain hopping in a system of coupled Luttinger liquids is investigated by use of exact diagonalizations techniques. Firstly, the two chains problem of spinless fermions is studied in order to see the behaviour of the band…

Condensed Matter · Physics 2009-10-28 S. Capponi , D. Poilblanc , F. Mila

One-particle interchain hopping in a system of coupled Luttinger liquids is investigated by use of exact diagonalizations techniques. Firstly, the two chain problem of spinless fermions is studied in order to see the behaviour of the band…

Strongly Correlated Electrons · Physics 2009-10-30 S. Capponi , D. Poilblanc

Topological interfaces of two-dimensional conformal field theories contain information about symmetries of the theory and exhibit striking spectral and entanglement characteristics. While lattice realizations of these interfaces have been…

Strongly Correlated Electrons · Physics 2023-12-12 Ananda Roy , Hubert Saleur

We study a system of crossed spin-gapped and gapless Luttinger liquids. We establish the existence of a stable non-Fermi liquid state with a finite-temperature,long-wavelength, isotropic electric conductivity that diverges as a power law in…

Strongly Correlated Electrons · Physics 2009-10-31 Ranjan Mukhopadhyay , C. L. Kane , T. C. Lubensky

We construct models of interacting itinerant non-Abelian anyons moving along one-dimensional chains, focusing in particular on itinerant Ising anyon chains, and derive effective anyonic t-J models for the low energy sectors. Solving these…

Strongly Correlated Electrons · Physics 2012-05-16 Didier Poilblanc , Matthias Troyer , Eddy Ardonne , Parsa Bonderson

Luttinger liquid theory describes one-dimensional electron systems in terms of non-interacting bosonic excitations. In this approximation thermal excitations are decoupled from the current flowing through a quantum wire, and the conductance…

Mesoscale and Nanoscale Physics · Physics 2011-09-01 K. A. Matveev , A. V. Andreev

Although the intrinsic conductance of an interacting one-dimensional system is renormalized by the electron-electron correlations, it has been known for some time that this renormalization is washed out by the presence of the…

Mesoscale and Nanoscale Physics · Physics 2018-04-27 Thomas Kloss , Joseph Weston , Xavier Waintal

Electron interactions reinforce minigaps induced in metallic nanotubes by an external field and turn the gap field dependence into a universal power law. An exactly solvable Gross-Neveau model with an SU(4) symmetry is derived for neutral…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 L. S. Levitov , A. M. Tsvelik

Nonequilibrium and thermal transport properties of the Toda chain, a prototype of classically integrable system, subject to additional (nonintegrable) terms are considered. In particular, we study via equilibrium and nonequilibrium…

Plasma Physics · Physics 2018-11-26 Pierfrancesco Di Cintio , Stefano Iubini , Stefano Lepri , Roberto Livi

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

It is argued that the electron stripes as found in correlated oxides have to do with an unrecognized form of order. The manifestation of this order is the robust property that the charge stripes are at the same time anti-phase boundaries in…

Strongly Correlated Electrons · Physics 2009-11-07 J. Zaanen , O. Y. Osman , H. V. Kruis , Z. Nussinov , J. Tworzydlo
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