aqora

Thermodynamics of a Modified Fermi-Hubbard Model

Moorad Alexanian

A recently introduced recurrence-relation ansatz applied to the Fermi-Hubbard model gives rise to a soluble model and here is used to calculate several thermodynamic observables. The constraint of unit density per site,  = 1, is applied and some of the results are compared to cases where the constraint is not imposed. The modified model exhibits a continuous phase transition (second order) reminiscent of the integer quantum Hall resistance and a ground state, first-order phase transition.

arXiv:2409.11180Armenian Journal of PhysicsSep 11, 20240 citations

Nearest-Neighbor Tunneling Ansatz in the Bose-Hubbard Model

Moorad Alexanian

A recently introduced recurrence-relation ansatz applied to the Jaynes-Cummings-Hubbard model is here applied to the Bose-Hubbard model that reduced the model to an easily soluble model. The results obtained for the two-point density correlations resemble somewhat those obtained recently also but in a much more complicated fashion. Our ansatz may be of value for the solution of many-body quantum mechanical problems.

Armenian Journal of PhysicsSep 4, 20232 citations

Nearest-Neighbor Tunneling Ansatz in the Bose-Hubbard Mode

Moorad Alexanian

A recently introduced recurrence-relation ansatz applied to the Jaynes-Cummings-Hubbard model is here applied to the Bose-Hubbard model that reduced the model to an easily soluble model. The results obtained for the two-point density correlations resemble somewhat those obtained recently also but in a much more complicated fashion. Our ansatz may be of value for the solution of many-body quantum mechanical problems.

arXiv:2309.03915Sep 4, 20230 citations

Effects of fermions on the superfluid-insulator phase diagram of the Bose-Hubbard model

Roman M. Lutchyn, Sumanta Tewari, S. Das Sarma

Bulletin of the American Physical SocietyMay 22, 20090 citations

Quantum phase transitions in a novel Fermi-Bose Hubbard model

Lincoln D. Carr, Daniel E. Sheehy, Murray Holland

Bulletin of the American Physical SocietyMar 23, 20050 citations

First order Quantum Hall to Wigner crystal phase transition on a triangular lattice: an iDMRG study

Gleb Fedorovich, Clemens Kuhlenkamp, Ataç İmamoğlu +1 more

In this work we study a system of interacting fermions on a triangular lattice in the presence of an external magnetic field. We neglect spin and fix a density of one third, with one unit of magnetic flux per particle. The infinite density matrix renormalization group algorithm is used to compute the ground state of this generalized Fermi-Hubbard model. Increasing the strength of the nearest-neighbor repulsion, we find a first order transition between an Integer Quantum Hall phase and a crystalline, generalized Wigner crystal state. The first-order nature of the phase transition is consistent with a Ginzburg-Landau argument. We expect our results to be relevant for moiré heterostructures of two-dimensional materials.In this work we study a system of interacting fermions on a triangular lattice in the presence of an external magnetic field. We neglect spin and fix a density of one third, with one unit of magnetic flux per particle. The infinite density matrix renormalization group algorithm is used to compute the ground state of this generalized Fermi-Hubbard model. Increasing the strength of the nearest-neighbor repulsion, we find a first order transition between an Integer Quantum Hall phase and a crystalline, generalized Wigner crystal state. The first-order nature of the phase transition is consistent with a Ginzburg-Landau argument. We expect our results to be relevant for moiré heterostructures of two-dimensional materials.

arXiv:2411.03748Nov 6, 20240 citations

A Soluble Modified Fermi-Hubbard Model

Abstract

Related papers

A Soluble Modified Fermi-Hubbard Model

Abstract

Related papers