Self-consistent slave rotor mean field theory for strongly correlated systems

Abstract

Building on work by Florens and Georges, we formulate and study a self-consistent slave rotor mean field theory for strongly correlated systems. This approach views the electron, in the strong correlation regime, as a composite of a neutral spinon and a charged rotor field. We solve the coupled spinon-rotor model self-consistently using a cluster mean field theory for the rotors and various ansatzes for the spinon ground state. We illustrate this approach with a number of examples relevant to ongoing experiments in strongly correlated electronic systems such as: (i) the phase diagram of the isotropic triangular lattice organic Mott insulators, (ii) quasiparticle excitations and tunneling asymmetry in the weakly doped cuprate superconductors, and (iii) the cyclotron mass of carriers in commensurate spin-density wave and U(1) staggered flux (or d-density wave) normal states of the underdoped cuprates. We compare the estimated cyclotron mass with results from recent quantum oscillation experiments on ortho-II YBCO by N. Doiron-Leyraud et al (Nature 447, 565 [2007]) which appear to find hole pockets in the magnetic field induced normal state. We comment on the relation of this normal ground state to Fermi arcs seen in photoemission experiments above Tc. This slave rotor mean field theory can be generalized to study inhomogeneous states and strongly interacting models relevant to ultracold atoms in optical lattices.

final version, to appear in PRB; added reference to latest quantum oscillation experiments on YBa_2Cu_4O_8

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• Phase Diagram of a Frustrated Quantum Antiferromagnet on the Honeycomb Lattice: Magnetic Order versus Valence-Bond Crystal formation
• Possibility of High Tc Superconductivity in doped Graphene
• Theory of the magnetic and metal-insulator transitions in RNiO3 bulk and layered structures
• Mott transition between a spin-liquid insulator and a metal in three dimensions
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• Slave spin cluster mean field theory away from half-filling: Application to the Hubbard and the extended Hubbard Model
• Z_2-slave-spin theory for strongly correlated fermions
• Competing Chiral Orders in the Topological Haldane-Hubbard Model of Spin-1/2 Fermions and Bosons
• The Orbitally Selective Mott Phase in Electron Doped Twisted TMDs: A Possible Realization of the Kondo Lattice Model
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• Dimensional crossover and cold-atom realization of topological Mott insulators
• Fractionalization and topology in amorphous electronic solids
• Finite-temperature effects on the superfluid Bose-Einstein condensation of confined ultracold atoms in three-dimensional optical lattices
• Theory of Correlated Insulators and Superconductor at $\nu =1$ in Twisted WSe${}_2$
• Phase separation versus supersolid behavior in frustrated antiferromagnets
• Generalized slave-particle method for extended Hubbard models
• Competition of Spinon Fermi Surface and Heavy Fermi Liquids states from the Periodic Anderson to the Hubbard model
• Hidden spin liquid in an antiferromagnet: Applications to FeCrAs
• Tripartite entangled plaquette state in a cluster magnet
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Phase diagram of the Cairo pentagonal XXZ spin-1/2 magnet under a magnetic field
• Modern Physics of the Condensed State: Strong Correlations and Quantum Topology
• Emergence of superconductivity, valence bond order and Mott insulators in Pd[(dmit)2] based organic salts
• Impact of strong correlations on a band topological insulator on the Lieb lattice
• Synchronous and Asynchronous Mott Transitions in Topological Insulator Ribbons
• Phase diagram and topological phases in the triangular lattice Kitaev-Hubbard model
• Emergent Spin Liquids in the Hubbard Model on the Anisotropic Honeycomb Lattice
• Influence of spin fluctuations near the Mott transition: a DMFT study
• Slave-rotor theory on magic-angle twisted bilayer graphene
• Correlated Topological Mixed-Valence Insulators in Moiré Hetero-Bilayers
• Slave rotor approach to dynamically screened Coulomb interactions in solids
• Bilayer Haldane model: From trivial band insulator to fractionalized quantum anomalous Hall insulator
• Interplay of spin-orbit coupling and Zeeman splitting in the absorption lineshape of 2D fermions
• Dynamic charge Kondo effect and a slave fermion approach to the Mott transition
• Tailoring Metal Insulator Transitions $\&$ Band Topology via Off-resonant Periodic Drive in an Interacting Triangular Lattice
• Competing supersolids of Bose-Bose mixtures in a triangular lattice
• Superconductivity from purely repulsive interactions in the strong coupling approach : Application of the SU(2) slave-rotor theory to the Hubbard model
• Metal-Insulator-Superconductor transition of spin-3/2 atoms on optical lattices
• Theoretical Phase diagram of unconventional alkali-doped fullerides
• Phase diagram of the Hubbard model on a square lattice: A cluster slave-spin study
• Chiral spin liquid phase in an optical lattice at mean-field level
• Multitude of phases in correlated lattice fermion systems with spin-dependent disorder
• Phase transitions of the Kane-Mele-Hubbard model with a long-range hopping
• Feasibility of a metamagnetic transition in correlated systems
• Semiconductor of spinons: from Ising band insulator to orthogonal band insulator
• Sign reversal of the boson-boson interaction potential in planar Bose-Fermi mixtures under a synthetic magnetic field
• Bond-dependent slave-particle cluster theory based on density matrix expansion
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• Spin-imbalance induced buried topological edge currents in Mott \& topological insulator heterostructures