TY - JOUR

T1 - Critical Temperatures of Hard-Core Boson Model on Square Lattice within Bethe Approximation

AU - Spevak, E. L.

AU - Panov, Yu. D.

AU - Moskvin, A. S.

N1 - The work was supported by the Program 211 of the Government of Russian Federation, agreement no. 02.A03.21.0006, and project FEUZ-2020-0054 of the Ministry of Education and Science of Russian Federation.

PY - 2021

Y1 - 2021

N2 - Neighboring correlations are considered for a two-dimensional hard-core boson model on square lattice within Bethe approximation for the clusters consisting of two and four nodes. Explicit equations are derived for the determination of critical temperatures of charge and superfluid ordering and their solutions are considered for various ratios of the parameter of between-centers charge correlations to the transfer integral. It is demonstrated that assumption of neighboring correlations for the temperatures of charge ordering results in the appearance of the critical concentration of bosons, which restricts the existence domain of the solutions of charge ordering type. In the case of superfluid ordering with the assumption of neighboring correlations, the critical temperature is reduced up to zero values at half filling. A phase diagram of the hard-core boson model is constructed with the assumption of phase separation within Maxwell construction and it is shown that consideration of neighboring correlations within Bethe approximation quantitatively approximates the form of phase diagram to the results of Monte Carlo quantum method.

AB - Neighboring correlations are considered for a two-dimensional hard-core boson model on square lattice within Bethe approximation for the clusters consisting of two and four nodes. Explicit equations are derived for the determination of critical temperatures of charge and superfluid ordering and their solutions are considered for various ratios of the parameter of between-centers charge correlations to the transfer integral. It is demonstrated that assumption of neighboring correlations for the temperatures of charge ordering results in the appearance of the critical concentration of bosons, which restricts the existence domain of the solutions of charge ordering type. In the case of superfluid ordering with the assumption of neighboring correlations, the critical temperature is reduced up to zero values at half filling. A phase diagram of the hard-core boson model is constructed with the assumption of phase separation within Maxwell construction and it is shown that consideration of neighboring correlations within Bethe approximation quantitatively approximates the form of phase diagram to the results of Monte Carlo quantum method.

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U2 - 10.1134/S1063783421090389

DO - 10.1134/S1063783421090389

M3 - Article

VL - 63

SP - 1546

EP - 1552

JO - Physics of the Solid State

JF - Physics of the Solid State

SN - 1063-7834

IS - 10

ER -