Effective Ising model for correlated systems with charge ordering

Abstract

Collective electronic fluctuations in correlated materials give rise to various important phenomena, such as existence of the charge ordering, superconductivity, Mott insulating and magnetic phases, plasmon and magnon modes, and other interesting features of such systems. Unfortunately, description of these correlation effects requires significant efforts, since they almost entirely rely on strong local and nonlocal electron-electron interactions. Some collective phenomena, such as magnetism, can be sufficiently described by a simple Heisenberg-like models that are formulated in terms of bosonic variables. This fact suggests that other many-body excitations can also be described by simple bosonic models in spirit of the Heisenberg theory. Here we derive an effective bosonic action for charge degrees of freedom for the extended Hubbard model and define a physical regime where the obtained action reduces to a classical Hamiltonian of an effective Ising model.

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Cited by in corpus (20)

• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
• Consistent partial bosonization of the extended Hubbard model
• Fingerprints of the local moment formation and its Kondo screening in the generalized susceptibilities of many-electron problems
• Impact of partially bosonized collective fluctuations on electronic degrees of freedom
• Charge order and antiferromagnetism in the extended Hubbard model
• Dual Boson Diagrammatic Monte Carlo Approach Applied to the Extended Hubbard Model
• Spin dynamics of itinerant electrons: local magnetic moment formation and Berry phase
• Single boson exchange representation of the functional renormalization group for strongly interacting many-electron systems
• Dual Boson approach with instantaneous interaction
• Multiloop flow equations for single-boson exchange fRG
• Extended regime of coexisting metallic and insulating phases in a two-orbital electronic system
• Doping-dependent charge- and spin-density wave orderings in a monolayer of Pb adatoms on Si(111)
• Multi-channel fluctuating field approach to competing instabilities in interacting electronic systems
• Can Orbital-Selective Néel Transitions Survive Strong Nonlocal Electronic Correlations?
• Reciprocal space study of Heisenberg exchange interactions in ferromagnetic metals
• Josephson lattice model for phase fluctuations of local pairs in copper-oxide superconductors
• Coexistence of $s$-wave superconductivity and phase separation in the half-filled extended Hubbard model with attractive interactions
• Fingerprints of a charge ice state in the doped Mott insulator Nb${}_3$Cl${}_8$
• Orbital isotropy of magnetic fluctuations in correlated electron materials induced by Hund's exchange coupling
• Multi-band D-TRILEX approach to materials with strong electronic correlations