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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

We present a pedagogical account of our approach to the problem of Luttinger liquids coupled by interliquid single particle hopping. It is shown that the key issue is that of coherence/incoherence of interliquid hopping, and not of…

Condensed Matter · Physics 2007-05-23 David Clarke , Steven Strong

We consider conditions for existence of fermionic quasiparticles in a strongly anisotropic quasi-one-dimensional metal. The adopted model is a model of chains of spin-1/2 Luttinger liquid coupled by small interchain hopping. It is shown…

Condensed Matter · Physics 2008-02-03 A. M. Tsvelik

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

It is shown theoretically that the Luttinger liquid phase in quasi-one-dimensional conductors can exist in the presence of impurities in a form of a collection of bounded Luttinger liquids. The conclusion is based upon the observation by…

Strongly Correlated Electrons · Physics 2009-11-10 S. N. Artemenko

In contrast to the well known Fermi liquid theory of three dimensions, interacting one-dimensional and quasi one-dimensional systems of fermions are described at low energy by an effective theory known as Luttinger liquid theory. This…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Gregory A. Fiete

Interchain hopping in systems of coupled chains of correlated electrons is investigated by exact diagonalizations and Quantum-Monte-Carlo methods. For two weakly coupled Hubbard chains at commensurate densities (e.g. n=1/3) the splitting at…

Condensed Matter · Physics 2016-08-31 D. Poilblanc , H. Endres , F. Mila , M. G. Zacher , S. Capponi , W. Hanke

We present an extension of the Tomonaga-Luttinger model in which left and right-moving particles have different Fermi velocities. We derive expressions for one-particle Green's functions, momentum-distributions, density of states, charge…

Strongly Correlated Electrons · Physics 2016-08-16 Victoria I. Fernández , Aníbal Iucci , Carlos M. Naón

We theoretically investigate transport in a spin incoherent one dimensional electron system, which may be realized in quantum wires at low electron density and finite temperature. Both the pure and disordered cases are considered, both in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gregory A. Fiete , Karyn Le Hur , Leon Balents

We use higher-dimensional bosonization to study the normal state of electrons in weakly coupled metallic chains interacting with long-range Coulomb forces. Particular attention is paid to the crossover between Luttinger and Fermi liquid…

Strongly Correlated Electrons · Physics 2009-10-30 Peter Kopietz , Volker Meden , Kurt Schoenhammer

We explore the effect of local constraints on one-dimensional bosonic and fermionic ground state phases. Motivated by recent experiments on Rydberg chains, we constrain the occupation of neighboring sites in known phases of matter. Starting…

Strongly Correlated Electrons · Physics 2019-03-25 Ruben Verresen , Ashvin Vishwanath , Frank Pollmann

We study systems of coupled spin-gapped and gapless Luttinger liquids. First, we establish the existence of a sliding Luttinger liquid phase for a system of weakly coupled parallel quantum wires, with and without disorder. It is shown that…

Strongly Correlated Electrons · Physics 2009-11-07 Ranjan Mukhopadhyay , C. L. Kane , T. C. Lubensky

It is shown that the Luttinger liquid is unstable to arbitrarily small transverse hopping. It becomes either a Fermi liquid or exhibits long-range order at zero temperature. The crossover temperatures below which either transverse coherent…

Condensed Matter · Physics 2009-10-22 Daniel Boies , C. Bourbonnais , A. -M. S. Tremblay

The stability of the Luttinger liquid to small transverse hopping has been studied from several points of view. The renormalization group approach in particular has been criticized because it does not take explicitly into account the…

Condensed Matter · Physics 2007-05-23 Daniel Boies , Claude Bourbonnais , A. -M. S. Tremblay

We discuss the properties of a strongly interacting spin-charge separated one dimensional system coupled to ferromagnets and/or superconductors. Our results are valid for arbitrary temperatures with respect to the spin energy, but require…

Strongly Correlated Electrons · Physics 2009-03-19 Dagim Tilahun , Gregory A. Fiete

We analyze the problem of Luttinger liquids coupled via a single-particle hopping $\tp$ and introduce a systematic diagrammatic expansion in powers of $\tp$. An analysis of the scaling of the diagrams at each order allows us to determine…

Strongly Correlated Electrons · Physics 2009-10-30 Enrico Arrigoni

In this paper we review recent theoretical results for transport in a one-dimensional (1d) Luttinger liquid. For simplicity, we ignore electron spin, and focus exclusively on the case of a single-mode. Moreover, we consider only the effects…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Matthew P. A. Fisher , Leonid I. Glazman

We present numerical evidence that the hopping of electrons between chains described by the $t-J$ model is coherent in the integrable cases ($J=0$ and $J=2$) and essentially incoherent otherwise. This effect is {\it not} related to the…

Condensed Matter · Physics 2009-10-28 Frederic Mila , Didier Poilblanc

We study the transport properties of a Luttinger liquid in the presence of several time-dependent weak point-like impurities. Our starting point is the bosonized form of the Luttinger liquid Hamiltonian with a potential introduced by the…

Strongly Correlated Electrons · Physics 2007-05-23 D. Makogon , V. Juricic , C. Morais Smith

We consider the low-energy region of an array of Luttinger liquids coupled by a weak interchain hopping. The leading logarithmic divergences can be re-summed to all orders within a self-consistent perturbative expansion in the hopping, in…

Strongly Correlated Electrons · Physics 2009-10-31 Enrico Arrigoni
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