Frozen deconfined quantum criticality

Abstract

There is a number of contradictory findings with regard to whether the theory describing easy-plane quantum antiferromagnets undergoes a second-order phase transition. The traditional Landau-Ginzburg-Wilson approach suggests a first-order phase transition, as there are two different competing order parameters. On the other hand, it is known that the theory has the property of self-duality which has been connected to the existence of a deconfined quantum critical point (DQCP). The latter regime suggests that order parameters are not the elementary building blocks of the theory, but rather consist of fractionalized particles that are confined in both phases of the transition and only appear - deconfine - at the critical point. Nevertheless, many numerical Monte Carlo simulations disagree with the claim of a DQCP in the system, indicating instead a first-order phase transition. Here we establish from exact lattice duality transformations and renormalization group analysis that the easy-plane CP1 antiferromagnet does feature a DQCP. We uncover the criticality starting from a regime analogous to the zero temperature limit of a certain classical statistical mechanics system which we therefore dub "frozen". At criticality our bosonic theory is dual to a fermionic one with two massless Dirac fermions, which thus undergoes a second-order phase transition as well.

v2: published version includes Supplemental Material containing details of calculations and 2 figures; an error in original calculations was fixed; references added

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Cited by in corpus (6)

• Emergent Symmetry in Quantum Phase Transitions: From Deconfined Quantum Critical Point to Gapless Quantum Spin Liquid
• Emergent self-duality in long range critical spin chain: from deconfined criticality to first order transition
• Deconfined quantum phase transition on the kagome lattice: Distinct velocities of spinon and string excitations
• Critical Behavior and Duality in Dimensionally Reduced Planar Chern-Simons Superconductors
• Zero Curvature Condition for Quantum Criticality
• Superselection Rules, Bosonization Duality in 1+1 Dimensions and Momentum-Space Entanglement