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Boundary Conformal Spectrum and Surface Critical Behaviors of the Classical Spin Systems: a Tensor Network Renormalization Study by Iino, Shumpei; Morita, Satoshi; Kawashima, Naoki is a scholarly article available to read on EtoBox.

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We numerically obtain the conformal spectrum of several classical spin models on a two-dimensional lattice with open boundaries, for every boundary fixed point obtained by the Cardy's derivation [J. L. Cardy, Nucl. Phys. B 324, 581 (1989)]. In order to extract accurate conformal data, we implement the tensor network renormalization algorithm [G. Evenbly and G. Vidal, Phys. Rev. Lett. 115, 180405 (2015)] extended so as to be applicable to a square lattice with open boundaries. We successfully compute the boundary conformal spectrum consistent with the underlying boundary conformal field theories (BCFTs) for the Ising, tri-critical Ising, and 3-state Potts models on the lattice, which allows us to confirm the validity of the BCFT analyses for the surface critical behaviors of those lattice models.

Author

Iino, Shumpei; Morita, Satoshi; Kawashima, Naoki

Published

2019

Language

EN