Confinement-deconfinement transition in two-coupled chains with umklapp scattering

Details Confinement-deconfinement transition in two-coupled chains with umklapp scattering Confinement-deconfinement transition in two-coupled chains with umklapp scattering

1999-03-08

arxiv.org/abs/cond-mat/9903135v1

Phys. Rev. B 59, 12326-12337 (1999)

Physics

Condensed Matter

Strongly Correlated Electrons

13 pages, 7 figures, to be published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.59.12326

A role of umklapp scattering has been examined for two-coupled chains with both forward and backward scatterings by applying renormalization group method to bosonized Hamiltonian. It has been found that a state with relevant interchain hopping changes into a state with irrelevant (confined) one when the magnitude of umklapp scattering becomes larger than that of interchain hopping. Critical value of umklapp scattering for such a confinement-deconfinement transition is calculated as the function of interchain hopping and intrachain interactions. A crossover from one-dimensional regime into that of coupled chains is also shown with decreasing temperature.

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