Multicritical point of the three-dimensional Z_2 gauge Higgs model

Abstract

We investigate the multicritical behavior of the three-dimensional Z_2 gauge Higgs model, at the multicritical point (MCP) of its phase diagram, where one first-order transition line and two continuous Ising-like transition lines meet. The duality properties of the model determine some features of the multicritical behavior at the MCP located along the self-dual line. Moreover, we argue that the system develops a multicritical XY behavior at the MCP, which is controlled by the stable XY fixed point of the three-dimensional multicritical Landau-Ginzburg-Wilson field theory with two competing scalar fields associated with the continuous Z_2 transition lines meeting at the MCP. This implies an effective enlargement of the symmetry of the multicritical modes at the MCP, to the continuous group O(2). We also provide some numerical results to support the multicritical XY scenario.

10 pages

References in corpus (5)

• The critical exponents of the superfluid transition in He4
• Robustness of a perturbed topological phase
• Monte Carlo study of an improved clock model in three dimensions
• Diagnosing Deconfinement and Topological Order
• Gapless Coulomb state emerging from a self-dual topological tensor-network state

Cited by in corpus (20)

• Exact emergent higher-form symmetries in bosonic lattice models
• Tensor renormalization group study of (3+1)-dimensional $Z_2$ gauge-Higgs model at finite density
• Critical behavior of Fredenhagen-Marcu string order parameters at topological phase transitions with emergent higher-form symmetries
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Deconfinement transitions in three-dimensional compact lattice Abelian Higgs models with multiple-charge scalar fields
• Machine Learning the Operator Content of the Critical Self-Dual Ising-Higgs Gauge Model
• Critical relaxational dynamics at the continuous transitions of three-dimensional spin models with ${\mathbb{Z}}_2$ gauge symmetry
• Non-compact lattice Higgs model with Abelian discrete gauge groups: phase diagram and gauge symmetry enlargement
• Uncovering gauge-dependent critical order-parameter correlations by a stochastic gauge fixing at O($N$)${}^{\ast }$ and Ising${}^{\ast }$ continuous transitions
• Confinement-Higgs and deconfinement-Higgs transitions in three-dimensional $Z(2)$ LGT
• Continuous topological phase transition between ${\mathbb{Z}}_2$ topologically ordered phases
• Independent e- and m-anyon confinement in the parallel field toric code on non-square lattices
• Quantum critical behaviors and decoherence of weakly coupled quantum Ising models within an isolated global system
• Bridging Rokhsar-Kivelson Type and Generic Quantum Phase Transitions via Thermofield Double States
• Scalar gauge-Higgs models with discrete Abelian symmetry groups
• Finite-temperature topological transitions in the presence of quenched uncorrelated disorder
• Stacked quantum Ising systems and quantum Ashkin-Teller model
• Analytic framework for self-dual criticality in ${\mathbb{Z}}_k$ gauge theory with matter
• O(5) multicriticality in the 3D two flavor SU(2) lattice gauge Higgs model
• Effects of quenched disorder in three-dimensional lattice ${\mathbb{Z}}_2$ gauge Higgs models