The $ν$ -component two-dimensional (2D) Bose liquid is considered. It is shown that the finite temperature phase transition exists in this 2D continuously degenerate multicomponent system. The new type of quasi-long-range order occurs as a result of this transition. The correlation function in ordered state is a product of the power-law XY-universality class type function and the exponential function corresponding to the $SU(ν)$ invariant model. The transition temperature is calculated for the diluted system. It is found that the physical mechanism of the phase transition is changed when $ν$ exceeds the critical value $ν_c = 4$ . The experimental realization of the considered model is discussed briefly.The $ν$-component two-dimensional (2D) Bose liquid is considered. It is shown that the finite temperature phase transition exists in this 2D continuously degenerate multicomponent system. The new type of quasi-long-range order occurs as a result of this transition. The correlation function in ordered state is a product of the power-law XY-universality class type function and the exponential function corresponding to the $SU(ν)$ invariant model. The transition temperature is calculated for the diluted system. It is found that the physical mechanism of the phase transition is changed when $ν$ exceeds the critical value $ν_c = 4$. The experimental realization of the considered model is discussed briefly.

arXiv:cond-mat/9801130Jan 14, 19980 citations

The theory of the superfluid Bose liquid

Красильников Владимир Владимирович, S. V. Peletminskiǐ

Physics of Particles and NucleiMar 1, 19931 citation

Exactly Soluble Supersymmetric t-J-Type Model with Long-Range Exchange and Transfer

Yoshio Kuramoto, H. Yokoyama

The Gutzwiller wave function is shown to be the exact solution of a supersymmetric t-J-type model. The model realizes a Fermi-liquid state in one dimension with a discontinuity in the momentum distribution. Analytic results are obtained for spin and charge susceptibilities, and the specific-heat coefficient with the help of the Luttinger-liquid theory. In the high-density limit the model exhibits a Mott-Hubbard gap and reduces to an antiferromagnetic spin chain with long-range exchange solved by Haldane and Shastry.The Gutzwiller wave function is shown to be the exact solution of a supersymmetric t-J-type model. The model realizes a Fermi-liquid state in one dimension with a discontinuity in the momentum distribution. Analytic results are obtained for spin and charge susceptibilities, and the specific-heat coefficient with the help of the Luttinger-liquid theory. In the high-density limit the model exhibits a Mott-Hubbard gap and reduces to an antiferromagnetic spin chain with long-range exchange solved by Haldane and Shastry.

Advanced series in mathematical physicsMay 1, 19941 citation

Theory of a low-density bose liquid

Eugene P. Gross

Annals of PhysicsFeb 1, 19670 citations

Exactly soluble supersymmetrict-J-type model with long-range exchange and transfer

Yoshio Kuramoto, H. Yokoyama

Physical Review LettersSep 2, 1991134 citations

The

ν

-component two-dimensional (2D) Bose liquid is considered. It is shown that the finite temperature phase transition exists in this 2D continuously degenerate multicomponent system. The new type of quasi-long-range order occurs as a result of this transition. The correlation function in ordered state is a product of the power-law XY-universality class type function and the exponential function corresponding to the

SU(ν)

invariant model. The transition temperature is calculated for the diluted system. It is found that the physical mechanism of the phase transition is changed when

ν

exceeds the critical value

ν_c = 4

. The experimental realization of the considered model is discussed briefly.