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 - Funding Information:
The authors would like to thank Y. Fuji, A. Furusaki, S. Iino, R. K. Kaul, H. Kohshiro, K. Tamai, and L. Vanderstraeten for stimulating discussions. This research was supported by JSPS KAKENHI Grants No. JP18K03446, No. JP19H01809, and No. JP20K03780, and by MEXT as Priority Issue on Post-K computer (Creation of New Functional Devices and High-Performance Materials to Support Next-Generation Industries) and Exploratory Challenge on Post-K Computer (Challenge of Basic Science—Exploring Extremes through Multi-Physics and Multi-Scale Simulations). The numerical computations were performed on computers at the Supercomputer Center, the Institute for Solid State Physics (ISSP), the University of Tokyo.
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 -