Quantum criticality with two length scales

Abstract

The theory of deconfined quantum critical points describes phase transitions at temperature T = 0 outside the standard paradigm, predicting continuous transformations between certain ordered states where conventional theory requires discontinuities. Numerous computer simulations have offered no proof of such transitions, however, instead finding deviations from expected scaling relations that were neither predicted by the DQC theory nor conform to standard scenarios. Here we show that this enigma can be resolved by introducing a critical scaling form with two divergent length scales. Simulations of a quantum magnet with antiferromagnetic and dimerized ground states confirm the form, proving a continuous transition with deconfined excitations and also explaining anomalous scaling at T > 0. Our findings revise prevailing paradigms for quantum criticality, with potentially far-reaching implications for many strongly-correlated materials.

13 pages + supplementary material, very minor changes in v2

References in corpus (28)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• Plaquette Ordered Phase and Quantum Phase Diagram in the Spin-1/2 J1-J2 Square Heisenberg Model
• Emergent Photons and New Transitions in the O(3) Sigma Model with Hedgehog Suppression
• Scaling in the Fan of an Unconventional Quantum Critical Point
• Continuous quantum phase transition between an antiferromagnet and a valence-bond-solid in two dimensions; evidence for logarithmic corrections to scaling
• Loop updates for variational and projector quantum Monte Carlo simulations in the valence-bond basis
• From an Antiferromagnet to a Valence Bond Solid: Evidence for a First Order Phase Transition
• Quantum criticality of U(1) gauge theories with fermionic and bosonic matter in two spatial dimensions
• Fate of CP(N-1) fixed points with q-monopoles
• Deconfined criticality flow in the Heisenberg model with ring-exchange interactions
• Possibility of Deconfined Criticality in SU(N) Heisenberg Models at Small N
• Monopoles in CP(N-1) model via the state-operator correspondence
• Gapped spin liquid phase in the J1-J2 Heisenberg model by a Bosonic resonating valence-bond ansatz
• Critical exponents can be different on the two sides of a transition: A generic mechanism
• Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet
• Quantum criticality in SU(3) and SU(4) anti-ferromagnets
• Corrections to scaling in the critical theory of deconfined criticality
• Method to characterize spinons as emergent elementary particles
• Confinement and Deconfinement of Spinons in Two Dimensions
• Thermodynamics of a gas of deconfined bosonic spinons in two dimensions
• Critical behavior in the cubic dimer model at nonzero monomer density
• Comparative study of Higgs transition in one-component and two-component lattice superconductor models
• Generalization of the singlet sector valence bond loop algorithm to antiferromagnetic ground states with total spin $S_{tot}=1/2$
• Emergent topological excitations in a two-dimensional quantum spin system
• Vector boson excitations near deconfined quantum critical points

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