Strongly Interacting Two-Dimensional Dirac Fermions

Abstract

We show how strongly interacting two-dimensional Dirac fermions can be realized with ultracold atoms in a two-dimensional optical square lattice with an experimentally realistic, inherent gauge field, which breaks time-reversal and inversion symmetries. We find remarkable phenomena in a temperature range around a tenth of the Fermi-temperature, accessible with present experimental techniques: at zero chemical potential, besides a conventional s-wave superconducting phase, unconventional superconductivity with non-local bond pairing arises. In a temperature versus doping phase diagram, the unconventional superconducting phase exhibits a dome structure, reminiscent of the phase diagram for high-temperature superconductors and heavy fermions.

4 pages, 3 figures

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Cited by in corpus (22)

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• Dirac-Weyl fermions with arbitrary spin in two-dimensional optical superlattices
• Synthetic Unruh effect in cold atoms
• Optical Lattice Hamiltonians for Relativistic Quantum Electrodynamics
• Relativistic quantum effects of Dirac particles simulated by ultracold atoms
• Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
• Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders
• Creating p-wave superfluids and topological excitations in optical lattices
• Relativistic linear stability equations for the nonlinear Dirac equation in Bose-Einstein condensates
• Finite-momentum Bose-Einstein condensates in shaken 2D square optical lattices
• Superconducting and excitonic quantum phase transitions in doped systems with Dirac electrons
• Different models of gravitating Dirac fermions in optical lattices
• Topological quantum phase transitions of attractive spinless fermions in a honeycomb lattice
• Competing Superconducting States for Ultracold Atoms in Optical Lattices with Artificial Staggered Magnetic Field
• Superconducting and Pseudogap Transition Temperatures in High-Tc Cuprates and the $T_c$ Dependence on Pressure
• Spontaneous magnetization and anomalous Hall effect in an emergent Dice lattice
• Non-Hermitian BCS-BEC crossover of Dirac fermions
• Competing effective interactions of Dirac electrons in the Spin-Fermion system
• Superconductivity in graphene stacks: from the bilayer to graphite
• Superconductivity and pair density waves from nearest-neighbor interactions in frustrated lattice geometries
• Cascade of phase transitions in a planar Dirac material
• Synthesis of Majorana mass terms in low-energy quantum systems