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Scaling of disorder operator at deconfined quantum criticality
by Yan-Cheng Wang, Nvsen Ma, Meng Cheng, Zi Yang Meng
This Submission thread is now published as
|Authors (as registered SciPost users):||Meng Cheng|
|Preprint Link:||scipost_202208_00008v1 (pdf)|
|Date submitted:||2022-08-03 15:56|
|Submitted by:||Cheng, Meng|
|Submitted to:||SciPost Physics|
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.
Published as SciPost Phys. 13, 123 (2022)
List of changes
Responding to the comment of referee 1, we have updatd Fig.4 and Fig.9 in the revised manuscript.
Responding to the comment of referee 2, we added a sentence in the revised manuscript to point out that the quantification of the error bar in $s(\theta)$ is certainly a nontrivial issue.
Submission & Refereeing History
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