1. Effective Ising model for correlated systems with charge ordering
- Author
-
E. A. Stepanov, Mikhail I. Katsnelson, A. Huber, and Alexander I. Lichtenstein
- Subjects
BOSONS ,MAGNETIC PHASIS ,Hubbard model ,Magnetism ,Theory of Condensed Matter ,FOS: Physical sciences ,02 engineering and technology ,CORRELATION EFFECT ,01 natural sciences ,Condensed Matter - Strongly Correlated Electrons ,EXTENDED HUBBARD MODEL ,Charge ordering ,symbols.namesake ,Tight binding ,Quantum mechanics ,CORRELATED SYSTEMS ,0103 physical sciences ,DEGREES OF FREEDOM (MECHANICS) ,010306 general physics ,ELECTRON-ELECTRON INTERACTIONS ,Boson ,Physics ,Strongly Correlated Electrons (cond-mat.str-el) ,Magnon ,CORRELATED MATERIALS ,ISING MODEL ,021001 nanoscience & nanotechnology ,COLLECTIVE PHENOMENA ,symbols ,MAGNON MODES ,Condensed Matter::Strongly Correlated Electrons ,Ising model ,0210 nano-technology ,Hamiltonian (quantum mechanics) ,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.
- Published
- 2019