A Soluble Modified Fermi-Hubbard Model
Moorad Alexanian
TL;DR
This paper introduces a soluble modified Fermi-Hubbard model using a recurrence-relation ansatz, revealing both continuous and first-order phase transitions similar to phenomena in quantum Hall systems.
Contribution
It applies a recurrence-relation ansatz to the Fermi-Hubbard model, creating a soluble variant that exhibits novel phase transition behaviors.
Findings
Exhibits a continuous phase transition similar to quantum Hall resistance
Displays a ground-state first-order phase transition
Provides a new exactly solvable model in condensed matter physics
Abstract
A recently introduced recurrence-relation ansatz applied to the Bose-Hubbard model is here used in the Fermi-Hubbard model. The resulting modified Fermi-Hubbard model is soluble and exhibits a continuous phase transition (second order) reminiscent of the integer quantum Hall resistance and a ground-state, first-order phase transition.
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