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The effect of umklapp scattering on interchain hopping has been investigated for two-coupled chains of interacting electrons with half-filled band. By analyzing in terms of renormalization group method, we have found that interchain hopping…

Strongly Correlated Electrons · Physics 2009-10-31 Y. Suzumura , M. Tsuchiizu , G. Gruner

Confinement-deconfinement transition in quarter-filled two-coupled chains comprising dimerization, repulsive interactions and interchain hopping has been demonstrated by applying the renormalization group method to the bosonized…

Strongly Correlated Electrons · Physics 2009-10-31 Y. Suzumura , M. Tsuchiizu

By applying renormalization group method to the bosonized Hamiltonian of two-coupled chains with repulsive intrachain interaction, we have examined a role of backward scattering with a spin-anisotropy which competes with interchain hopping.…

Strongly Correlated Electrons · Physics 2015-06-25 Masahisa Tsuchiizu , Yoshikazu Suzumura

Three-coupled chains of quarter-filled Hubbard model with dimerization have been studied for periodic boundary conditions. By use of a renormalization group method, it is found that the interchain hopping is renormalized to zero leading to…

Strongly Correlated Electrons · Physics 2009-10-31 M. Tsuchiizu , Y. Suzumura

We study two (very) weakly-coupled Hubbard chains in the half-filled case, and especially the situation where the intrachain Mott scale $m$ is much larger than the bare single-electron interchain hopping $t_{\perp}$. First, we find that the…

Strongly Correlated Electrons · Physics 2009-10-31 Karyn Le Hur

The Mott metal-insulator transition is a typical strong correlation effect triggered by the Umklapp scattering. However, in a physical system, the Umklapp scattering coexists with the normal scattering, including both forward and backward…

Strongly Correlated Electrons · Physics 2022-12-22 Tong Liu , Kang Wang , Runze Chi , Yang Liu , Haijun Liao , Tao Xiang

By applying the renormalization group method to two-coupled chains in the Tomonaga model, the role of interchain hopping has been studied in the entire energy region. The energy for a crossover from the perturbational regime to the relevant…

Strongly Correlated Electrons · Physics 2009-10-30 Masahisa Tsuchiizu , Hideo Yoshioka , Yoshikazu Suzumura

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…

Condensed Matter · Physics 2009-10-28 Hideo Yoshioka , Yoshikazu Suzumura

The effect of interchain hopping and interaction on Anderson localization has been investigated for two coupled chains of spinless fermions with nearest neighbor interaction. Using the renormalization group method, we find that interchain…

Strongly Correlated Electrons · Physics 2009-10-31 E. Orignac , Y. Suzumura , T. Giamarchi

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 demonstrate that the hopping of singlet electron pairs between Hubbard chains is relevant in the renormalization group sense if appropriate correlations exist between the chains.

Condensed Matter · Physics 2016-08-31 S. P. Strong

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 study interplay of electronic correlation, randomness and dimensionality effects in half-filled random Hubbard chains weakly coupled via an interchain one-particle hopping. Based on the two-loop renormalization-group approach, phase…

Strongly Correlated Electrons · Physics 2007-05-23 Jun-ichiro Kishine , Kenji Yonemitsu

A two-dimensional model of interacting plaquettes is studied by means of the real space renormalization group approach. Interactions between the plaquettes are mediated solely by spin excitations on the plaquettes. Depending on the…

Strongly Correlated Electrons · Physics 2009-12-14 A. Fledderjohann , A. Klümper , K. H. Mütter

We study Umklapp couplings and their renormalisation group flow for electrons in a two dimensional lattice. It is shown that the effective low energy Hamiltonian involves not only forward scattering, but also considerable nonforward umklapp…

Condensed Matter · Physics 2007-05-23 Deepak Kumar , R. Rajaraman

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…

Strongly Correlated Electrons · Physics 2009-11-07 S. Biermann , A. Georges , A. Lichtenstein , T. Giamarchi

The problem of deconfinement phases in strongly correlated systems is discussed. In space-time dimension $d=3+1$, a competition of confinement and Coulomb phases occurs, but in $d=2+1$ the confining phase dominates owing to monopole…

Strongly Correlated Electrons · Physics 2023-01-26 V. Yu. Irkhin

Using a non-perturbative functional renormalization group approach involving both fermionic and bosonic fields we calculate the interaction-induced change of the Fermi surface of spinless fermions moving on two chains connected by weak…

Strongly Correlated Electrons · Physics 2007-05-23 Sascha Ledowski , Peter Kopietz

We show that the concept of umklapp-scattering driven instabilities in one-dimensional systems can be generalized to arbitrary multiple umklapp-scattering processes at commensurate fillings given that the system has sufficiently longer…

Strongly Correlated Electrons · Physics 2009-11-10 Peter Schmitteckert , Ralph Werner

We study some general properties of coupled quantum systems. We consider simple interactions between two copies of identical Hamiltonians such as the SYK model, Pauli spin chains with random magnetic field and harmonic oscillators. Such…

High Energy Physics - Theory · Physics 2021-03-10 Fabien Alet , Masanori Hanada , Antal Jevicki , Cheng Peng
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