Current Carrying Ground State in a Bi-layer Model

Abstract

Strongly interacting systems have been conjectured to spontaneously develop current carrying ground states under certain conditions. We conclusively demonstrate the existence of a commensurate staggered interlayer current phase in a bi-layer model by using the recently discovered quantum Monte-Carlo algorithm without the sign problem. A pseudospin SU(2) algebra and the corresponding anisotropic spin-1 Heisenberg model are constructed to show the competition among the staggered interlayer current, rung singlet and charge density wave phases.

5 pages, 5 figures

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• Fermion-sign-free Majarana-quantum-Monte-Carlo studies of quantum critical phenomena of Dirac fermions in two dimensions
• Competing orders in one-dimensional half-filled multicomponent fermionic cold atoms: The Haldane-charge conjecture
• Determinant quantum Monte Carlo study of exciton condensation in the bilayer Hubbard model
• Nonlocal density interactions in auxiliary-field quantum Monte Carlo simulations: application to the square lattice bilayer and honeycomb lattice
• Competing orders in the generalized Hund chain model at half-filling
• Ground state phase diagram of the half-filled bilayer Hubbard model
• Itinerancy and Hidden Order in $UR{u}_{2}S{i}_2$
• Spin-orbit coupling induced magnetism in the $d$-density wave phase of La${}_{2-x}$Ba${}_x$CuO${}_4$ superconductors
• The Pairing of Spin-orbit Coupled Fermi Gas in Optical Lattice
• Slater and Mott insulating states in the SU(6) Hubbard model
• Spin-rotationally symmetric domain flux phases in underdoped cuprates
• Orbital currents and charge density waves in a generalized Hubbard ladder
• Exploring Contractor Renormalization: Tests on the 2-D Heisenberg Antiferromagnet and Some New Perspectives
• Semigroup approach to the sign problem in quantum Monte Carlo simulations
• Evidence for Quantum Stripe Ordering in a Triangular Optical Lattice
• Doping-driven Antiferromagnetic Insulator -- Superconductor Transition: a Quantum Monte Carlo Study
• Spin nematic phases in models of correlated electron systems: a numerical study
• Interlayer Hopping between Surface Mott Insulator and Bulk Band Insulator in layered 1T-TaS_{2}
• Circulating Current States in Bilayer Fermionic and Bosonic Systems
• Spontaneous Currents in Spinless Fermion Lattice Models at the Strong-Coupling Limit