Topological phase transitions in the non-Abelian honeycomb lattice

Abstract

Ultracold Fermi gases trapped in honeycomb optical lattices provide an intriguing scenario, where relativistic quantum electrodynamics can be tested. Here, we generalize this system to non-Abelian quantum electrodynamics, where massless Dirac fermions interact with effective non-Abelian gauge fields. We show how in this setup a variety of topological phase transitions occur, which arise due to massless fermion pair production events, as well as pair annihilation events of two kinds: spontaneous and strongly-interacting induced. Moreover, such phase transitions can be controlled and characterized in optical lattice experiments.

RevTex4 file, color figures

References in corpus (61)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Many-Body Physics with Ultracold Gases
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Chiral tunneling and the Klein paradox in graphene
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Unconventional Integer Quantum Hall effect in graphene
• A tight-binding approach to uniaxial strain in graphene
• Synthetic magnetic fields for ultracold neutral atoms
• First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
• Evidence of Klein tunneling in graphene p-n junctions
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Using photoemission spectroscopy to probe a strongly interacting Fermi gas
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Electron fractionalization in two-dimensional graphenelike structures
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• On the $Z_2$ classification of Quantum Spin Hall Models
• A new magnetic field dependence of Landau levels on a graphene like structure
• Spin Hall effects for cold atoms in a light induced gauge potential
• Observation of Vortex Pinning in Bose-Einstein Condensates
• Imaging the Mott Insulator Shells using Atomic Clock Shifts
• Zero modes of tight binding electrons on the honeycomb lattice
• Tight-binding modeling and low-energy behavior of the semi-Dirac point
• Massless Dirac-Weyl Fermions in a T_3 Optical Lattice
• Momentum-Resolved Bragg Spectroscopy in Optical Lattices
• Observing Zitterbewegung in Ultracold Atoms
• Formation of spatial shell structures in the superfluid to Mott insulator transition
• Chiral Gauge Theory for Graphene
• Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
• Dirac-point engineering and topological phase transitions in honeycomb optical lattices
• Effect of Induced Spin-Orbit Coupling for Atoms via Laser Fields
• Quantum Non-Demolition Detection of Strongly Correlated Systems
• Probing quantum phases of ultracold atoms in optical lattices by transmission spectra in cavity QED
• Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold Atoms
• Staggered-Vortex Superfluid of Ultracold Bosons in an Optical Lattice
• Ultracold Fermions in a Graphene-Type Optical Lattice
• Single-particle-sensitive imaging of freely propagating ultracold atoms
• Measuring the one-particle excitations of ultracold fermionic atoms by stimulated Raman spectroscopy
• Quasi-relativistic behavior of cold atoms in light fields
• Cavity enhanced light scattering in optical lattices to probe atomic quantum statistics
• Trapped Fermi Gases in Rotating Optical Lattices: Realization and Detection of the Topological Hofstadter Insulator
• Effective magnetic fields in degenerate atomic gases induced by light beams with orbital angular momenta
• Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop
• Ultracold atomic gas in non-Abelian "magnetic" fields: the quantum Hall effect supremacy
• Non-Abelian magnetic monopole in a Bose-Einstein condensate
• Massless Dirac Fermions in a Square Optical Lattice
• Delocalization of relativistic Dirac particles in disordered one-dimensional systems and its implementation with cold atoms
• Double and negative reflection of cold atoms in non-Abelian gauge potentials
• Hall effects in Bose-Einstein condensates in a rotating optical lattice
• Metal-Insulator Transition Revisited for Cold Atoms in Non-Abelian Gauge Potentials
• Spin Field Effect Transistors with Ultracold Atoms
• Quantum Hall-like effect for cold atoms in non-Abelian gauge potentials
• Phonon-induced artificial magnetic fields
• Yang-Mills gauge theories from fermionic lattice models

Cited by in corpus (63)

• Topological insulators and superconductors
• Light-induced gauge fields for ultracold atoms
• Topology by Dissipation in Atomic Quantum Wires
• Artificial graphene as a tunable Dirac material
• Topological properties of linear circuit lattices
• Multi-Component Quantum Gases in Spin-Dependent Hexagonal Lattices
• Topological quantum matter with cold atoms
• Seeing topological order in time-of-flight measurements
• Review on novel methods for lattice gauge theories
• Quantum simulation of 2d topological physics using orbital-angular-momentum-carrying photons in a 1d array of cavities
• Wilson Fermions and Axion Electrodynamics in Optical Lattices
• Dirac Equation For Cold Atoms In Artificial Curved Spacetimes
• Synthesis and Observation of Non-Abelian Gauge Fields in Real Space
• Dirac-Weyl fermions with arbitrary spin in two-dimensional optical superlattices
• Simulating Z_2 topological insulators with cold atoms in a one-dimensional optical lattice
• Topological phases and phase transitions on the square-octagon lattice
• Rydberg-Atom Quantum Simulation and Chern Number Characterization of a Topological Mott Insulator
• Topological phases in a two-dimensional lattice: Magnetic field versus spin-orbit coupling
• Electronic topological transition in sliding bilayer graphene
• Simulating and Detecting the Quantum Spin Hall Effect in Kagomé Optical Lattice
• Relativistic quantum effects of Dirac particles simulated by ultracold atoms
• Measuring topology in a laser-coupled honeycomb lattice: From Chern insulators to topological semi-metals
• Topology-induced phase transitions in quantum spin Hall lattices
• Topological phase transitions between chiral and helical spin textures in a lattice with spin-orbit coupling and a magnetic field
• p Orbital flat band and Dirac cone in the electronic honeycomb lattice
• Coexistence of spin-1/2 and spin-1 Dirac-Weyl fermions in the edge-centered honeycomb lattice
• Non-abelian anyons from degenerate Landau levels of ultracold atoms in artificial gauge potentials
• Merging and alignment of Dirac points in a shaken honeycomb optical lattice
• Gross-Neveu-Wilson model and correlated symmetry-protected topological phases
• Topological Superfluid Transition Induced by Periodically Driven Optical Lattice
• Quenching through Dirac and semi-Dirac points in optical Lattices: Kibble-Zurek scaling for anisotropic Quantum-Critical systems
• ${\mathbb{Z}}_N$ gauge theories coupled to topological fermions: QED${}_2$ with a quantum-mechanical $\theta$ angle
• Spontaneous quantum Hall effect via thermally induced quadratic Fermi point
• Anisotropic quantum quench in the presence of frustration or background gauge fields: A probe of bulk currents and topological chiral edge modes
• Topological phase transitions driven by gauge fields in an exactly solvable model
• Tunable Band Topology Reflected by Fractional Quantum Hall States in Two-Dimensional Lattices
• Topological Quantum Phase Transition in Synthetic Non-Abelian Gauge Potential
• Ultracold atoms in U(2) non-Abelian gauge potentials preserving the Landau levels
• Wilson loop and Wilczek-Zee phase from a non-Abelian gauge field
• Simulation and measurement of the fractional particle number in one-dimensional optical lattices
• Finite Size Effects of the Surface States in a Lattice Model of Topological Insulator
• Fractional quantum Hall effect in a U(1)xSU(2) gauge field
• Triangular and Honeycomb Lattices of Cold Atoms in Optical Cavities
• Interaction induced mergence of Dirac points in Non-Abelian optical lattices
• Honeycomb optical lattices with harmonic confinement
• Correlated metallic state in honeycomb lattice: Orthogonal Dirac semimetal
• Valley polarization in graphene-silicene-graphene heterojunction
• Particle number fractionalization of a one-dimensional atomic Fermi gas with synthetic spin-orbit coupling
• Synthetic magnetic fluxes on the honeycomb lattice
• Half-filled Kondo lattice on the honeycomb lattice
• Flat bands and $Z_2$ topological phases in a non-Abelian kagome lattice
• Quantum Hall Effects in a Non-Abelian Honeycomb Lattice
• Probing Half-odd Topological Number with Cold Atoms in a Non-Abelian Optical Lattice
• $SU(3)$ Topological Insulators in the Honeycomb Lattice
• Interaction and filling-induced quantum anomalous Hall effect in ultra-cold neutral Bose-Fermi mixture on hexagonal lattice
• Honeycomb supersolid -- Dirac points and shear-instability induced crystal transitions
• Pairing properties of cold fermions in the honeycomb lattice
• Cold atoms in U(3) gauge potentials
• Normal state properties of spin-orbit coupled Fermi gases in the upper branch of energy spectrum
• Quantum phase transitions on the hexagonal lattice
• Half-integer Mott-insulator phases in the imbalanced honeycomb lattice
• Finite size effects and Hofstadter butterfly in a bosonic Mott insulator with relativistic dispersion background
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers