Tensor network approach to the two-dimensional fully frustrated XY model and a chiral ordered phase

Article

关键词: MATRIX PRODUCT STATES;    CARLO TRANSFER-MATRIX;    MONTE-CARLO;    SPIN-GLASS;    TRANSITIONS;    LATTICE;    ANTIFERROMAGNET;    ARRAYS;    EXPONENTS;    DYNAMICS;   

DOI  :  10.1103/PhysRevB.105.134516

来源: SCIE

【 摘 要 】

A general framework is proposed to solve the two-dimensional (2D) fully frustrated XY model for the Josephson junction arrays in a perpendicular magnetic field. The essential idea is to encode the ground-state local rules induced by frustrations in the local tensors of the partition function. The partition function is then expressed in terms of a product of a 1D transfer matrix operator, whose eigenequation can be solved by an algorithm of matrix product states rigorously. The singularity of the entanglement entropy for the 1D quantum analog provides a stringent criterion to distinguish various phase transitions without identifying a priori order parameter. Two very close phase transitions are determined at T-e1 approximate to 0.4459 and T-e2 approximate to 0.4532, respectively. The former corresponds to a Berezinskii-Kosterlitz-Thouless phase transition describing the phase coherence of XY spins, and the latter is an Ising-like continuous phase transition below which a chirality order with spontaneously broken Z(2) symmetry is established.

【 授权许可】

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