Tensor network study of the m = 1/2 magnetization plateau in the Shastry-Sutherland model at finite temperature
Abstract
The two-dimensional infinite projected entangled pair state tensor network is evolved in imaginary time with the full update (FU) algorithm to simulate the Shastry-Sutherland model in a magnetic field at finite temperature directly in the thermodynamic limit. We focus on the phase transition into the m = 1/2 magnetization plateau, which was observed in experiments on SrCu2(BO3)2. For the largest simulated bond dimension, the early evolution in the high-temperature regime is simulated with the simple update (SU) scheme and then, as the correlation length increases, continued with the FU scheme towards the critical regime. We apply a small symmetry-breaking bias field and then extrapolate towards zero bias using a simple scaling theory in the bias field. The combined SU + FU scheme provides an accurate estimate of the critical temperature, even though the results could not be fully converged in the bond dimension in the vicinity of the transition. Here, the critical temperature estimate is improved with a generalized scaling theory that combines two divergent length scales: One due to the bias, and the other due to the finite bond dimension. The obtained results are consistent with the transition being in the universality class of the two-dimensional classical Ising model.more »
- Authors:
-
[1];
[2];
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Jagiellonian Univ., Krakow (Poland)
- Univ. of Amsterdam (Netherlands)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1828716
- Report Number(s):
- LA-UR-20-29946
Journal ID: ISSN 2469-9950; TRN: US2216311
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 103; Journal Issue: 7; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Material science; Strongly correlated systems; Tensor networks; Frustrated magnetism; Phase transitions; Thermal properties; 2-dimensional systems; Projected entangled pair states; Tensor network methods
Citation Formats
Czarnik, Piotr Jan, Rams, Marek M., Corboz, Philippe, and Dziarmaga, Jacek. Tensor network study of the m = 1/2 magnetization plateau in the Shastry-Sutherland model at finite temperature. United States: N. p., 2021.
Web. doi:10.1103/physrevb.103.075113.
Czarnik, Piotr Jan, Rams, Marek M., Corboz, Philippe, & Dziarmaga, Jacek. Tensor network study of the m = 1/2 magnetization plateau in the Shastry-Sutherland model at finite temperature. United States. https://doi.org/10.1103/physrevb.103.075113
Czarnik, Piotr Jan, Rams, Marek M., Corboz, Philippe, and Dziarmaga, Jacek. Thu .
"Tensor network study of the m = 1/2 magnetization plateau in the Shastry-Sutherland model at finite temperature". United States. https://doi.org/10.1103/physrevb.103.075113. https://www.osti.gov/servlets/purl/1828716.
@article{osti_1828716,
title = {Tensor network study of the m = 1/2 magnetization plateau in the Shastry-Sutherland model at finite temperature},
author = {Czarnik, Piotr Jan and Rams, Marek M. and Corboz, Philippe and Dziarmaga, Jacek},
abstractNote = {The two-dimensional infinite projected entangled pair state tensor network is evolved in imaginary time with the full update (FU) algorithm to simulate the Shastry-Sutherland model in a magnetic field at finite temperature directly in the thermodynamic limit. We focus on the phase transition into the m = 1/2 magnetization plateau, which was observed in experiments on SrCu2(BO3)2. For the largest simulated bond dimension, the early evolution in the high-temperature regime is simulated with the simple update (SU) scheme and then, as the correlation length increases, continued with the FU scheme towards the critical regime. We apply a small symmetry-breaking bias field and then extrapolate towards zero bias using a simple scaling theory in the bias field. The combined SU + FU scheme provides an accurate estimate of the critical temperature, even though the results could not be fully converged in the bond dimension in the vicinity of the transition. Here, the critical temperature estimate is improved with a generalized scaling theory that combines two divergent length scales: One due to the bias, and the other due to the finite bond dimension. The obtained results are consistent with the transition being in the universality class of the two-dimensional classical Ising model. The estimated critical temperature is 3.5(2) K, which is well above the temperature 2.1 K used in the experiments.},
doi = {10.1103/physrevb.103.075113},
journal = {Physical Review B},
number = 7,
volume = 103,
place = {United States},
year = {Thu Feb 04 00:00:00 EST 2021},
month = {Thu Feb 04 00:00:00 EST 2021}
}
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