Optimized Wannier Functions for Hubbard Chain

• Authors: J. Kurzyk , W. Wójcik , J. Spałek
• Languages of publication: EN

Abstracts

EN

One-dimensional atomic chain with a variable-range hopping is described within the extended Hubbard model. The Gutzwiller-ansatz approximation is used to determine the optimized single-particle (Wannier) wave functions in the correlated state. Hopping integral up to the third neighbors is taken into account and the results are compared with those for the infinite hopping range. Ground state energy of the system is compared with that making use of the rigorous Lieb-Wu solution with the optimized wave functions. The evolution of the properties as a function of interatomic distance is discussed.

Keywords

EN

71.27.+a; 71.30.+h; 71.10.Fd

Discipline

• 71.30.+h: Metal-insulator transitions and other electronic transitions
• 71.27.+a: Strongly correlated electron systems; heavy fermions
• 71.10.Fd: Lattice fermion models (Hubbard model, etc.)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 115
• Issue: 1
• Pages: 114-116

Dates

published

2009-01

Contributors

author

J. Kurzyk

• Instytut Fizyki Politechniki Krakowskiej, Podchorążych 1, 30-084 Kraków, Poland

author

W. Wójcik

• Instytut Fizyki Politechniki Krakowskiej, Podchorążych 1, 30-084 Kraków, Poland

author

J. Spałek

• Instytut Fizyki im. M. Smoluchowskiego, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland

References

• 1. J. Kurzyk, J. Spałek, W. Wójcik, Acta Phys. Pol. A 111, 603 (2007)
• 2. For review see: J. Spałek, E.M. Görlich, A. Rycerz, R. Zahorbeński, J. Phys., Condens. Matter 19, 255212 (2007); J. Spałek, R. Podsiadły, W. Wójcik, A. Rycerz, Phys. Rev. B 61, 15676 (2000)
• 3. E.H. Lieb, F.Y. Wu, Phys. Rev. Lett. 20, 1445 (1968); Physica A 321, 1 (2003); arXiv:cond-mat/0207529, 2002
• 4. M.C. Gutzwiller, Phys. Rev. 137, A1726 (1965); W.F. Brinkman, T.M. Rice, Phys. Rev. B 2, 4302 (1970)
• 5. See: F. Gebhard, The Mott Metal-Insulator Transition, Springer, Berlin 1997, p. 168ff

Identifiers

DOI

10.12693/APhysPolA.115.114