SU(4)-symmetric Hubbard model at quarter filling: Insights from the dynamical mean-field approach

Unukovych, V.; Sotnikov, Andrii

doi:10.1103/physrevb.104.245106

Cited by 5 publications

(1 citation statement)

References 37 publications

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“…Spin 1 /2 fermions with anti-ferromagnetic correlations [76,77,85] are linked to high-Tc superconductivity observed in cuprates [86] and have the potential to depict interesting phenomena such as Stoner's itinerant ferromagnetism [78] and spin-incoherent Luttinger liquids [87]. Multiflavor Fermi-Hubbard model hosts 'flavor-selective' Mott insulators [88,89] that are linked to a new class of high-Tc superconductors based on iron [90] and depict exotic phases at different filling limits [91][92][93][94][95][96][97][98][99][100]. For multi-component bosons trapped in optical lattices, hyperfine states of atoms like 87 Rb can be used to generate spin degrees of freedom for the possible exploration of novel highly entangled state [101,102].…”

Section: Introductionmentioning

confidence: 99%

Generalized effective spin chain Hamiltonian of strongly interacting spinor gases in optical lattice*

Basak¹,

Pu²

2023

Preprint

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We study one-dimensional strongly interacting spinor gases in an optical lattice using a generalized effective spin-chain model. The spinor gas is mapped to a system of spinless fermions and a spin-chain. A generalized effective spin-chain Hamiltonian is developed. The developed Hamiltonian acts on the mapped system to study the static and dynamics properties of the spinor gas. The generalized spin-chain model provides a computationally efficient tool to study strongly interacting spinor gases in an optical lattice as an alternative to existing theoretical formalism for 1D lattice systems. It allows the study of spinor gases with arbitrary spin and statistics, providing a generalized approach for one-dimensional strongly interacting gases. The spin-chain formalism being simple in its definition, provides an easier tool for study. Additionally, combining the models developed here and the one defined previously for continuum systems, provides an approach to study them in continuum or in lattice demonstrating the wide applicability of the spin-chain model. The generalized spin-chain Hamiltonian is used to study the mapped system recreating the physics of spinor gas in 1D lattice. As an application, it also is used to study the time evolution of a quenched system. The spin-chain Hamiltonian is useful in the study of a multitude of interesting phenomena arising in lattice systems such as high-T c superconductivity, the spin-coherent Luttinger liquid and the spin-incoherent Luttinger liquid regimes.

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