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 J. Sib. Fed. Univ. Math. Phys., 2011, Volume 4, Issue 2, Pages 162–167 (Mi jsfu173)

Cluster perturbation theory for the Hubbard model: the pinning of chemical potential

Sergey V. Nikolaeva, Sergey G. Ovchinnikovb

a Omsk State University, Omsk, Russia
b Siberian Federal University, Krasnoyarsk, Russia

Abstract: In this paper we study the single-band two-dimensional Hubbard model in the framework of the cluster perturbation theory. Consideration is limited to nearest-neighbor approximation. The original two-dimensional square lattice is divided into clusters of $2\times2$, forming a square superlattice. The complete set of eigenvectors and eigenvalues of a single cluster is determined by exact diagonalization method. On this basis, we construct X-operators, through which overrides the Hamiltonian of the problem. The spectral function is computed within the Hubbard-I approximation. This function allows to explore the distribution of spectral weight of the quasiparticles in the Hubbard subbands. The effect of the in-gap states at the pinning of the chemical potential at low concentrations of holes is explored.

Keywords: cluster perturbation theory, Hubbard model, strong electron correlation, exact diagonalization, X-operators, density of states.

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UDC: 53.01+538.955+538.915
Accepted: 10.12.2010

Citation: Sergey V. Nikolaev, Sergey G. Ovchinnikov, “Cluster perturbation theory for the Hubbard model: the pinning of chemical potential”, J. Sib. Fed. Univ. Math. Phys., 4:2 (2011), 162–167

Citation in format AMSBIB
\Bibitem{NikOvc11} \by Sergey~V.~Nikolaev, Sergey~G.~Ovchinnikov \paper Cluster perturbation theory for the Hubbard model: the pinning of chemical potential \jour J. Sib. Fed. Univ. Math. Phys. \yr 2011 \vol 4 \issue 2 \pages 162--167 \mathnet{http://mi.mathnet.ru/jsfu173} 

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This publication is cited in the following articles:
1. E. I. Shneider, S. G. Ovchinnikov, M. M. Korshunov, S. V. Nikolaev, “Electronic structure and properties of high-$T_C$ superconducting cuprates in the normal and superconducting phases within the LDA + GTB approach”, JETP Letters, 96:5 (2012), 349–360
2. Nikolaev S.V., Ovchinnikov S.G., “Effect of Hole Doping on the Electronic Structure and the Fermi Surface in the Hubbard Model Within Norm-Conserving Cluster Pertubation Theory”, J. Exp. Theor. Phys., 114:1 (2012), 118–131
3. Ilya D. Ivantsov, Sergey G. Ovchinnikov, “Cluster perturbation theory for 2d Ising model”, Zhurn. SFU. Ser. Matem. i fiz., 8:1 (2015), 31–37
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