CRITICAL EXPONENTS FOR THE SINH-COSH INTERACTION-MODEL IN THE ZERO SECTOR

Article

关键词: DIMENSIONAL HUBBARD-MODEL;    CONFORMAL-INVARIANCE;    LUTTINGER LIQUID;    QUANTUM FLUIDS;    CENTRAL CHARGE;    FIELD;    CHAIN;    SYMMETRY;    SYSTEMS;   

DOI  :  10.1103/PhysRevB.49.6779

来源: SCIE

【 摘 要 】

In this paper, we continue our investigation of a one-dimensional, two-component, quantum many-body system in which like particles interact with a pair potential s(s + 1)/sinh2(r), while unlike particles interact with a pair potential -s(s + 1)/cosh(r). For an equal number of particles of the two components, the ground state for s > 0 corresponds to an antiferromagnet/insulator. Excitations consist of a gapless pair-hole-pair continuum, a two-particle continuum with gap and excitons with gap. For -1 < s < 0, the system has two gapless excitations - a particle-hole continuum and a two-spin-wave continuum. Using finite-size scaling methods of conformal field theory, we calculate the asymptotic expressions and critical exponents for correlation functions of these gapless excitations at zero temperature. The conformal structure is closely related to the Hubbard model with repulsive on-site interaction.

【 授权许可】

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