Massless Dirac Fermions in a Square Optical Lattice

Abstract

We propose a novel scheme to simulate and observe massless Dirac fermions with cold atoms in a square optical lattice. A U(1) adiabatic phase is created by two laser beams for the tunneling of atoms between neighbor lattice sites. Properly adjusting the tunneling phase, we find that the energy spectrum has conical points in per Brillouin zone where band crossing occurs. Near these crossing points the quasiparticles and quasiholes can be considered as massless Dirac fermions. Furthermore, the anisotropic effects of massless Dirac fermions are obtained in the present square lattice model. The Dirac fermions as well as the anisotropic behaviors realizeded in our system can be experimentally detected with the Bragg spectroscopy technique.

References in corpus (37)

• Electric Field Effect in Atomically Thin Carbon Films
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Unconventional Integer Quantum Hall effect in graphene
• Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
• Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• 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
• Excitation of phonons in a Bose-Einstein condensate by light scattering
• New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials
• Cold atoms in non-Abelian gauge potentials: From the Hofstadter "moth" to lattice gauge theory
• Observation of Landau levels of Dirac fermions in graphite
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• Spin Hall effects for cold atoms in a light induced gauge potential
• The $p_{x,y}$-orbital counterpart of graphene: cold atoms in the honeycomb optical lattice
• Chiral Gauge Theory for Graphene
• Slow light in degenerate Fermi gases
• Effect of Induced Spin-Orbit Coupling for Atoms via Laser Fields
• Light induced effective magnetic fields for ultra-cold atoms in planar geometries
• Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold Atoms
• BCS-BEC crossover on the two-dimensional honeycomb lattice
• Generalized Stern-Gerlach Effect for Chiral Molecules
• Spin Hall Effect in Atoms
• Effective magnetic fields in degenerate atomic gases induced by light beams with orbital angular momenta
• Practical scheme for a light-induced gauge field in an atomic Bose gas
• Non-Abelian magnetic monopole in a Bose-Einstein condensate
• Double and negative reflection of cold atoms in non-Abelian gauge potentials
• Spin Field Effect Transistors with Ultracold Atoms
• Landau levels of cold atoms in non-Abelian gauge fields
• The effects of optically induced non-Abelian gauge field in cold atoms
• An Index Theorem for Graphene
• Dark States and Coherent Control of Spin States in Molecular Magnets

Cited by in corpus (46)

• Quantum Simulation
• Artificial gauge potentials for neutral atoms
• Light-induced gauge fields for ultracold atoms
• Electronic Properties of Graphene in a Strong Magnetic Field
• Merging of Dirac points in a two-dimensional crystal
• Topological quantum matter with cold atoms
• Gauge fields for ultracold atoms in optical superlattices
• A universal Hamiltonian for the motion and the merging of Dirac cones in a two-dimensional crystal
• Massless Dirac-Weyl Fermions in a T_3 Optical Lattice
• Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
• Ultracold Fermions in a Graphene-Type Optical Lattice
• An Optical-Lattice-Based Quantum Simulator For Relativistic Field Theories and Topological Insulators
• Quantum Anomalous Hall Effect with Cold Atoms Trapped in a Square Lattice
• Simulating Wess-Zumino Supersymmetry Model in Optical Lattices
• Topological phase transitions in the non-Abelian honeycomb lattice
• A semi-Dirac point in the Hofstadter spectrum
• Hidden-Symmetry-Protected Topological Semimetals on a Square Lattice
• Dirac cones beyond the honeycomb lattice: a symmetry based approach
• Relativistic quantum effects of Dirac particles simulated by ultracold atoms
• Manipulation of Dirac points in graphene-like crystals
• Spin-orbit coupled Bose-Einstein condensate in a tilted optical lattice
• Dirac edges of fractal magnetic minibands in graphene with hexagonal moire superlattices
• Emergence of massless Dirac fermions in graphene's Hofstadter butterfly at switches of the quantum Hall phase connectivity
• Optical lattice quantum simulator for QED in strong external fields: spontaneous pair creation and the Sauter-Schwinger effect
• (3+1) Massive Dirac Fermions with Ultracold Atoms in Optical Lattices
• Quantum simulator for the Schwinger effect with atoms in bi-chromatic optical lattices
• Dynamics of Weyl quasiparticles emerged in an optical lattice
• Strongly Interacting Two-Dimensional Dirac Fermions
• Coupling, merging, and splitting Dirac points by electron-electron interaction
• Simulation and measurement of the fractional particle number in one-dimensional optical lattices
• Moving and merging of Dirac points on a square lattice and hidden symmetry protection
• Interaction induced mergence of Dirac points in Non-Abelian optical lattices
• Honeycomb optical lattices with harmonic confinement
• Weyl semimetals in optical lattices: moving and merging of Weyl points, and hidden symmetry at Weyl points
• Semimetal-superfluid quantum phase transitions in 2D and 3D lattices with Dirac points
• Quantum search with interacting Bose-Einstein condensates
• Nonlinear magnetotransport in a two-dimensional system with merging Dirac points
• Synthetic magnetic fluxes on the honeycomb lattice
• Probing Half-odd Topological Number with Cold Atoms in a Non-Abelian Optical Lattice
• Simulation of two-flavors symmetry-locking phases in ultracold fermionic mixtures
• Floquet analysis of pulsed Dirac systems: A way to simulate rippled graphene
• Exact diagonalization of cubic lattice models in commensurate Abelian magnetic fluxes and translational invariant non-Abelian potentials
• Valley-dependent gauge fields for ultracold atoms in square optical superlattices
• Non-Abelian gauge potential driven localization transition in quasiperiodic optical lattices
• Pseudo-magnetic fields in square lattices
• Phase diagram and non-Abelian symmetry locking for fermionic mixtures with unequal interactions