Quantum criticality in spin-1/2 anisotropic XY model with staggered Dzyaloshinskii-Moriya interaction

By utilizing the infinite time evolving block decimation method in infinite matrix product state representation, the quantum criticality and critical exponents varying are investigated in the spin-1/2 anisotropic XY chain with staggered Dzyaloshinskii-Moriya interaction. The phase diagram is obtained from the entanglement measurement, where a XY phase line delta = 0 separates the Neel phase. Along this critical line, the central charge c = 1 is extracted from the finite entanglement and the finite correlation length. In addition, the characteristic critical exponents are obtained from the local transverse magnetization, nonlocal transverse Neel order, and the correlation length, respectively. It is found that all the critical exponents are varying continuously along the phase transition line delta = 0, and the ratios of critical exponents imply that the phase transition is in conformity with the weak universality. The linear relations of the critical exponents are able to illustrate the dependence between the critical exponents and the Dzyaloshinskii-Moriya interaction. C) 2022 Elsevier B.V. All rights reserved.