Deconfined quantum criticality in Ising gauge theory entangled with single-component fermions

Abstract

We highlight the exotic quantum criticality of quasi-two-dimensional single-component fermions at half-filling that are minimally coupled to a dynamical Ising gauge theory. With the numerical matrix product state based infinite density matrix renormalization group method, we discover a robust quantum critical line in the infinite cylinder geometry, where gauge confinement and dimerized translation symmetry breaking emerge simultaneously. We investigate how the transition can be split by a ${\mathbb{Z}}_2$ topologically ordered dimerized phase that is stabilized by additional short-range repulsive interactions. We conjecture a $u(1)$ deconfined criticality scenario, propose a corresponding low-energy effective field theory of the exotic quantum critical point in the two-dimensional limit and identify its shortcomings

Main text: 5 pages, 3 figures. Supplemental: 8 pages, 9 figures

References in corpus (31)

• Quantum Spin Liquids
• Generalized Global Symmetries
• Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
• Simulating Lattice Gauge Theories within Quantum Technologies
• Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
• The Flux-Phase of the Half-Filled Band
• Generalized Symmetries in Condensed Matter
• On the stability of U(1) spin liquids in two dimensions
• Lattice gauge theories simulations in the quantum information era
• Topological Disorder Operators in Three-Dimensional Conformal Field Theory
• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Prediction of Toric Code Topological Order from Rydberg Blockade
• Review on novel methods for lattice gauge theories
• Charged fermions coupled to ${\mathbb{Z}}_2$ gauge fields: Superfluidity, confinement and emergent Dirac fermions
• Confinement transition of ${\mathbb{Z}}_2$ gauge theories coupled to massless fermions: emergent QCD${}_3$ and $SO(5)$ symmetry
• Monte Carlo Study of Lattice Compact Quantum Electrodynamics with Fermionic Matter: the Parent State of Quantum Phases
• Anomalous dimensions of monopole operators in three-dimensional quantum electrodynamics
• A simple fermionic model of deconfined phases and phase transitions
• Diagnosing Deconfinement and Topological Order
• Fractionalized fermionic quantum criticality in spin-orbital Mott insulators
• Gauging the Kitaev chain
• Numerical determination of monopole scaling dimension in parity-invariant three-dimensional non-compact QED
• Resource-Efficient Quantum Simulation of Lattice Gauge Theories in Arbitrary Dimensions: Solving for Gauss' Law and Fermion Elimination
• Quantum phases of two-dimensional ${\mathbb{Z}}_2$ gauge theory coupled to single-component fermion matter
• Quantum Simulation of Z2 Lattice Gauge theory with minimal resources
• Confinement transition in the QED${}_3$-Gross-Neveu-XY universality class
• Dynamics of Compact Quantum Electrodynamics at Large Fermion Flavor
• Fermi-surface reconstruction without symmetry breaking
• Gapless symmetry-protected topological phases and generalized deconfined critical points from gauging a finite subgroup
• Metal to Orthogonal Metal Transition
• Spinless fermions in a ${\mathbb{Z}}_2$ gauge theory on the triangular ladder