Scaling of the disorder operator at deconfined quantum criticality

Author:

Wang Yan-Cheng1,Ma Nvsen2,Cheng Meng3,Meng Zi Yang4

Affiliation:

1. Beihang Hangzhou Innovation Institute Yuhang

2. Beihang University

3. Yale University

4. University of Hong Kong

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_3JQ3 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.

Funder

Alfred P. Sloan Foundation

K. C. Wong Education Foundation

National Natural Science Foundation of China

National Science Foundation

Research Grants Council, University Grants Committee

Publisher

Stichting SciPost

Subject

General Physics and Astronomy

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