Scaling of the disorder operator at deconfined quantum criticality
Yan-Cheng Wang, Nvsen Ma, Meng Cheng, Zi Yang Meng
SciPost Phys. 13, 123 (2022) · published 14 December 2022
- doi: 10.21468/SciPostPhys.13.6.123
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Abstract
We study scaling behavior of the disorder parameter, defined as the expectation value of a symmetry transformation applied to a finite region, at the deconfined quantum critical point in (2+1)$d$ in the $J$-$Q_3$ model via large-scale quantum Monte Carlo simulations. We show that the disorder parameter for U(1) spin rotation symmetry exhibits perimeter scaling with a logarithmic correction associated with sharp corners of the region, as generally expected for a conformally-invariant critical point. However, for large rotation angle the universal coefficient of the logarithmic corner correction becomes negative, which is not allowed in any unitary conformal field theory. We also extract the current central charge from the small rotation angle scaling, whose value is much smaller than that of the free theory.
Cited by 26
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Yan-Cheng Wang,
- 2 Nvsen Ma,
- 3 Meng Cheng,
- 4 Zi Yang Meng
- 1 Beihang Hangzhou Innovation Institute Yuhang
- 2 北京航空航天大学 / Beihang University [BUAA]
- 3 Yale University
- 4 University of Hong Kong [HKU]
- Alfred P. Sloan Foundation
- K. C. Wong Education Foundation
- National Natural Science Foundation of China [NSFC]
- National Science Foundation [NSF]
- Research Grants Council, University Grants Committee (through Organization: University Grants Committee [UGC])