TY - JOUR

T1 - Continuous phase transition between Néel and valence bond solid phases in a J-Q -like spin ladder system

AU - Ogino, Takuhiro

AU - Kaneko, Ryui

AU - Morita, Satoshi

AU - Furukawa, Shunsuke

AU - Kawashima, Naoki

N1 - Publisher Copyright:
© 2021 American Physical Society.

PY - 2021/2/11

Y1 - 2021/2/11

N2 - We investigate a quantum phase transition between a Néel phase and a valence bond solid (VBS) phase, each of which breaks a different Z2 symmetry, in a spin-1/2 two-leg XXZ ladder with a four-spin interaction. The model can be viewed as a one-dimensional variant of the celebrated J-Q model on a square lattice. By means of variational uniform matrix product state calculations and an effective field theory, we determine the phase diagram of the model and present evidence that the Néel-VBS transition is continuous and belongs to the Gaussian universality class with the central charge c=1. In particular, the critical exponents β,η, and, ν are found to satisfy the constraints expected for a Gaussian transition within numerical accuracy. These exponents do not detectably change along the phase boundary while they are in general allowed to do so for the Gaussian class.

AB - We investigate a quantum phase transition between a Néel phase and a valence bond solid (VBS) phase, each of which breaks a different Z2 symmetry, in a spin-1/2 two-leg XXZ ladder with a four-spin interaction. The model can be viewed as a one-dimensional variant of the celebrated J-Q model on a square lattice. By means of variational uniform matrix product state calculations and an effective field theory, we determine the phase diagram of the model and present evidence that the Néel-VBS transition is continuous and belongs to the Gaussian universality class with the central charge c=1. In particular, the critical exponents β,η, and, ν are found to satisfy the constraints expected for a Gaussian transition within numerical accuracy. These exponents do not detectably change along the phase boundary while they are in general allowed to do so for the Gaussian class.

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U2 - 10.1103/PhysRevB.103.085117

DO - 10.1103/PhysRevB.103.085117

M3 - Article

AN - SCOPUS:85101931593

SN - 2469-9950

VL - 103

JO - Physical Review B

JF - Physical Review B

IS - 8

M1 - 085117

ER -