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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 chain problem of spinless fermions is studied in order to see the behaviour of the band…

强关联电子 · 物理学 2009-10-30 S. Capponi , D. Poilblanc

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…

凝聚态物理 · 物理学 2016-08-31 D. Poilblanc , H. Endres , F. Mila , M. G. Zacher , S. Capponi , W. Hanke

Many one--dimensional quantum systems, in particular interacting electron and spin systems, can be described a Luttinger liquids. Here, some basic ideas of this picture of one--dimensional systems are briefly reviewed. I then discuss the…

凝聚态物理 · 物理学 2009-10-28 H. J. Schulz

Two chains of Luttinger liquids coupled by both interchain hopping and interchain interaction are investigated. A degeneracy of two kinds of dominant states with in phase and out of phase ordering in the absence of the hopping is removed…

凝聚态物理 · 物理学 2009-10-28 Hideo Yoshioka , Yoshikazu Suzumura

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…

凝聚态物理 · 物理学 2007-05-23 David Clarke , Steven Strong

On the basis of a calculation of the exact interliquid hopping rate and an approximate single particle Green's function, we present new evidence for the existence of a phase of relevant but incoherent inter-Luttinger liquid transport. This…

凝聚态物理 · 物理学 2009-10-28 David Clarke , Steven Strong

We consider the problem of tunneling between spinless 1D Luttinger liquid chains. We show how to map the problem onto the 4-state chiral clock model together with a free boson for the total charge mode. We use a variety of results, some of…

强关联电子 · 物理学 2011-07-19 Paul Fendley , Chetan Nayak

We investigate a system of one dimensional Hubbard chains of interacting fermions coupled by inter-chain hopping. Using a generalization of the Dynamical Mean Field Theory we study the deconfinement transition from a Mott insulator to a…

强关联电子 · 物理学 2009-11-07 S. Biermann , A. Georges , A. Lichtenstein , T. Giamarchi

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…

强关联电子 · 物理学 2009-10-31 Enrico Arrigoni

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…

强关联电子 · 物理学 2009-10-30 Enrico Arrigoni

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…

强关联电子 · 物理学 2009-10-30 Peter Kopietz , Volker Meden , Kurt Schoenhammer

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…

凝聚态物理 · 物理学 2009-10-22 Daniel Boies , C. Bourbonnais , A. -M. S. Tremblay

We reconsider the theory of dc and ac interchain conductivity in quasi-one dimensional systems. Our results are in good agreement with the measured c-axis optical conductivity of (TMTSF)_2{ClO}_4 and suggest that the c-axis dc-conductivity…

强关联电子 · 物理学 2009-10-31 Antoine Georges , Thierry Giamarchi , Nancy Sandler

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…

凝聚态物理 · 物理学 2008-02-03 A. M. Tsvelik

The coherence of transport between two one-dimensional interacting Fermi liquids, coupled by single particle hopping and interchain interaction, is examined in the context of two exactly soluble models. It is found that the coherence of the…

统计力学 · 物理学 2009-10-28 Nic Shannon , Yanmin Li , Nicholas d'Ambrumenil

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…

强关联电子 · 物理学 2015-05-20 Vieri Mastropietro

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…

强关联电子 · 物理学 2009-11-10 S. N. Artemenko

We consider the Hall effect in a system of weakly coupled Luttinger chains. We obtain the full conductivity tensor in the absence of dissipation along the chains. We show that while the dependence of the Hall and transverse conductivities…

强关联电子 · 物理学 2009-10-31 Andrei Lopatin , Antoine Georges , T. Giamarchi

We study a half filled ladder of spinless fermions. We show that contrarily to a single chain, the ladder becomes a Mott insulator for arbitrarily small repulsive interactions. We obtain the full phase diagram and physical quantities such…

强关联电子 · 物理学 2009-10-31 P. Donohue , M. Tsuchiizu , T. Giamarchi , Y. Suzumura

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…

介观与纳米尺度物理 · 物理学 2011-11-09 Gregory A. Fiete
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