Metal-insulator transitions in three-component Falicov-Kimball model within coherent potential approximation

Nguyen Thi Huong, Le Duc Anh, Hoang Anh Tuan
Author affiliations

Authors

  • Nguyen Thi Huong Thuy Loi University, 175 Tay Son, Dong Da, Hanoi, Vietnam
  • Le Duc Anh Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam
  • Hoang Anh Tuan Institute of Physics, Vietnam Academy of Science and Technology, 10 Dao Tan, Ba Dinh, Hanoi 11108, Vietnam

DOI:

https://doi.org/10.15625/0868-3166/17244

Keywords:

three-component Falicov-Kimball model, metal-insulator transition, coherent potential approximation

Abstract

We apply the coherent potential approximation to study the three-component Falicov - Kimball model, in which single-component and two-component fermionic particles are mixed in an optical lattice. In the model, the heavy single-component fermionic particles are localized while the light two-component fermionic particles can hop in the lattice. At half-filling, two transitions from an insulator via a metallic state to a Mott insulator are found with increasing the particle correlations. By contrast, at third-filling, only one transition from the metallic state to the Mott insulating phase is observed for strong repulsive interactions. Our results are consistent with those obtained by the dynamical mean field theory as well as by the slave boson mean field approach.

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References

N. F. Mott, Metal-Insulator Transitions. Taylor and Francis, London, 1990. DOI: https://doi.org/10.1016/0022-4596(90)90201-8

U. Schneider and et al., Metallic and insulating phases of repulsively interacting fermions in a 3D optical lattice, Science 322 (2008) 1520. DOI: https://doi.org/10.1126/science.1165449

F. M. Spiegelhalder and et al., Collisional stability of 40K immersed in a strongly interacting Fermi gas of 6Li, Phys. Rev. Lett. 103 (2009) 223203. DOI: https://doi.org/10.1103/PhysRevLett.103.223203

S. Taie and et al., Realization of a SU(2)×SU(6) system of fermions in a cold atomic gas, Phys. Rev. Lett. 105 (2010) 190401. DOI: https://doi.org/10.1103/PhysRevLett.105.190401

E. V. Gorelik and N. Blumer, Mott transitions in ternary flavor mixtures of ultracold fermions on optical lattices, Phys. Rev. A 80 (2009) 051602. DOI: https://doi.org/10.1103/PhysRevA.80.051602

K. Inaba and et al., Mott transitions of three-component fermionic atoms with repulsive interaction in optical lattices, Phys. Rev. A 82 (2010) 051602. DOI: https://doi.org/10.1103/PhysRevA.82.051602

D.-B. Nguyen and M.-T. Tran, Mott transitions in three-component Falicov-Kimball model, Phys. Rev. B 87 (2013) 045125. DOI: https://doi.org/10.1103/PhysRevB.87.045125

D.-A. Le and M.-T. Tran, Mott transitions in a three-component Falicov-Kimball model: A slave boson mean-field study, Phys. Rev. B 91 (2015) 195144. DOI: https://doi.org/10.1103/PhysRevB.91.195144

M. Plischke, Coherent-potential-approximation calculation on the Falicov-Kimball model of the metal-insulator transition, Phys. Rev. Lett. 28 (1972) 361. DOI: https://doi.org/10.1103/PhysRevLett.28.361

B. Velicky and et al., Single-site approximations in the electronic theory of simple binary alloys, Phys. Rev. 175 (1968) 747. DOI: https://doi.org/10.1103/PhysRev.175.747

A.-T. Hoang, Metal–insulator transitions in the the half-filled ionic Hubbard model, J. Phys.: Cond. Matt. 22 (2010) 09560. DOI: https://doi.org/10.1088/0953-8984/22/9/095602

D-A.Le and A.-T. Hoang, Mott transitions in the 2-band Hubbard model: A coherent potential approximation study, Comm. in Phys. 22 (2012) 223. DOI: https://doi.org/10.15625/0868-3166/22/3/2524

J. van der Rest and F. Brouers, Spin susceptibility of the doubly degenerate Hubbard model, Phys. Rev. B 24 (1981) 450. DOI: https://doi.org/10.1103/PhysRevB.24.450

L. Craco and et al., Electronic phase transitions in the half-filled ionic Hubbard model, Phys. Rev. B 78 (2008) 075121. DOI: https://doi.org/10.1103/PhysRevB.78.075121

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Published

03-11-2022

How to Cite

[1]
T. H. Nguyen, D. . A. Le, and T. Hoang Anh, “Metal-insulator transitions in three-component Falicov-Kimball model within coherent potential approximation”, Comm. Phys., vol. 33, no. 1, p. 31, Nov. 2022.

Issue

Vol. 33 No. 1 (2023)

Section

Papers

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Received 28-06-2022
Accepted 19-08-2022
Published 03-11-2022