Gene

Quantum mechanics

Quantum Monte Carlo

Conformal symmetry

Statistics

Quantum field theory

Criticality

Nuclear physics

Biochemistry

Scaling

Scaling dimension

Statistical physics

Scale invariance

Physics

Central charge

Mathematics

Invariant (physics)

Transcription factor

Mathematical analysis

Geometry

Quantum

Conformal field theory

Conformal map

Logarithm

Repressor

Monte Carlo method

Chemistry

Symmetry (geometry)

Operator (biology)

Quantum phase transition

Quantum critical point

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