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Short-imaginary-time quantum critical dynamics in the J-Q$_3$ spin chain
- Source :
- Phys. Rev. B 102, 104425 (2020)
- Publication Year :
- 2020
-
Abstract
- We study the short-imaginary-time quantum critical dynamics (SITQCD) in the J-Q$_3$ spin chain, which hosts a quasi-long-range-order phase to a valence bond solid transition. By using the scaling form of the SITQCD with a saturated ordered phase, we are able to locate the critical point at $q_{\rm c}=0.170(14)$. We also obtain the critical initial slip exponent $\theta=-0.507(3)$ and the static exponent $\beta/\nu=0.498(2)$. More strikingly, we find that the scaling dimension of the initial order parameter $x_{0}$ is close to zero, which suggests that the initial order parameter is a marginal operator. As a result, there is no initial increase behavior of the order parameter in the short-imaginary-time relaxation process for this model, which is very different from the relaxation dynamics in the Ising-type phase transitions. Our numerical results are realized by the projector quantum Monte Carlo algorithm.<br />Comment: 8 pages, 8 figures
- Subjects :
- Condensed Matter - Strongly Correlated Electrons
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. B 102, 104425 (2020)
- Publication Type :
- Report
- Accession number :
- edsarx.2006.11833
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevB.102.104425