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

Abstract

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.

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

References in corpus (4)

• On-chain electrodynamics of metallic (TMTSF)_2 X salts: Observation of Tomonaga-Luttinger liquid response
• Confinement of Interchain Hopping by Umklapp Scattering in Two-Coupled Chains
• Crossover between High and Low Energy-States in Two-Coupled Chains of Tomonaga Model
• Two-Coupled Chains with Spin-Anisotropic Backward Scattering

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