Physics

Operator (biology)

Invariant (physics)

Central charge

Symmetry (geometry)

Mathematics

Logarithm

Transcription factor

Gene

Statistical physics

Statistics

Scale invariance

Quantum field theory

Criticality

Mathematical analysis

Repressor

Quantum Monte Carlo

Conformal symmetry

Scaling dimension

Nuclear physics

Chemistry

Monte Carlo method

Geometry

Conformal field theory

Quantum mechanics

Conformal map

Biochemistry

Quantum

Scaling

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.

Scaling of the disorder operator at deconfined quantum criticality