Mott Transition in the Mass Imbalanced Ionic Hubbard Model at Half Filling

Nguyen Thi Hai Yen, Le Duc Anh, Hoang Anh Tuan, Nguyen Toan Thang, Nguyen Thi Huong


The Mott - Hubbard metal - insulator transition in the half-filled mass imbalanced ionic Hubbard model is investigated using the two-site dynamical mean field theory. We find that for a fixed mass imbalanced parameter r the critical interaction Uc increases when the ionic energy \(\Delta\) is increased. In the other hand, for a fixed \(\Delta\), \(U_c\) decreases with increasing the mass imbalance. We also show the existence of BI phase in the system for the case \(\Delta \ne 0\), \(U=0\) and calculate the staggered charge density \(n_B − n_A\) as a function of the interaction for different values of the mass imbalance. Our results in the limiting cases (\(r = 1\); \(\Delta \ne 0\) or/and \(\Delta = 0\); \(r\ne 1\)) are in good agreement with those obtained from full dynamical mean field theory.

Full Text:



M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen, and U. Sen, Adv. Phys. 56 (2007) 243.

I. Bloch et al.,, Rev. Mod. Phys. 80 (2008) 885.

C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Rev. Mod. Phys. 82 (2010) 1225.

W. Hofstetter, J. I. Cirac, P. Zoller, E. Demler, and M. D. Lukin, Phys. Rev. Lett. 89 (2002) 220407.

R. J ̈ordens, N. Strohmaier, K. Gu ̈nter, H. Moritz, and T. Esslinger, Nature 455 (2008) 204.

T. Esslinger, Annu. Rev. Condens. Matter Phys. 1 (2010) 129.

A. Hemmerich, D. Schropp, and T. W. H ̈ansch, Phys. Rev. A 44 (1991) 1910.

S. Taie, Y. Takasu, S. Sugawa, R. Yamazaki, T. Tsujimoto, R. Murakami, and Y. Takahashi, Phys.

Rev. Lett. 105 (2010) 190401.

A. Trenkwalder, C. Kohstall, M. Zaccanti, D. Naik, A. I.Sidorov, F. Schreck, and R. Grimm, Phys.

Rev. Lett. 106 (2011) 115304.

C. Kohstall, M. Zaccanti, M. Jag, A. Trenkwalder, P. Massignan, G. M. Bruun, F. Schreck, and R.

Grimm, Nature (London), 485 (2013) 615.

M. Jag, M. Zaccanti, M. Cetina, R. S. Lous, F. Schreck, R.Grimm, D. S. Petrov, and J. Levinsen,

Phys. Rev. Lett. 112 (2014) 075302.

P. Fazekas, Electron Correlation and Magnetism (World Scientific, Singapore, 1999).

P. S. Riseborough and J. M. Lawrence, Rep. Prog. Phys. 79 (2016) 084501.

M. Potthoff, Phys. Rev. B 64 (2001) 165114.

E.A. Winograd, R. Chitra, M.J. Rozenberg Phys. Rev. B 84 (2011) 233102.

T.L. Dao et al.,, Phys. Rev. A 85 (2012) 013606.

Anh-Tuan Hoang, Duc-Anh Le, Physica B 485 (2016) 121.

L. Craco et al., Phys. Rev. B 78 (2008) 075121.

A. Garg et al., Phys. Rev. Lett. 97 (2006) 046403.


DOI: Display counter: Abstract : 223 views. PDF : 104 views.


  • There are currently no refbacks.

Editorial Office:

Communications in Physics

1st Floor, A16 Building, 18B Hoang Quoc Viet Street, Cau Giay District, Hanoi, Vietnam

Tel: (+84) 024 3791 7102 


Copyright by