scholarly journals Thermodynamics of the disordered Hubbard model studied via numerical linked-cluster expansions

2021 ◽  
Vol 104 (16) ◽  
Author(s):  
Jacob Park ◽  
Ehsan Khatami
Keyword(s):  
Hubbard Model ◽  
Cluster Expansions

HIGH-DENSITY EXPANSION FOR THE EXTENDED HUBBARD MODEL

1987 ◽  
Vol 01 (05n06) ◽  
pp. 1277-1310 ◽  
Author(s):  
M. BARTKOWIAK
Keyword(s):  
Hubbard Model ◽  
Ground State ◽  
High Density ◽  
Extended Hubbard Model ◽  
Zeroth Order ◽  
Cluster Expansions ◽  
First Order ◽  
Expansion Technique ◽  
Density Expansion ◽  
Band Case

The Green’s-function diagrammatic high-density expansion technique for Hubbard’s operators is constructed and applied to the extended Hubbard model. The electron Green’s functions and the band structure of the ground state for arbitrary electron density are calculated in the zeroth-order in 1/z. The phase diagram, staggered magnetic susceptibility and the Néel temperature for the half-filled band case are derived in the first order of the high-density expansion. Connections of the high-density and linked cluster expansions are also discussed.

Screened Coulomb interaction or Hubbard model?

1991 ◽  
Vol 177 (1-3) ◽  
pp. 578-584 ◽  
Author(s):  
Daniel C. Mattis ◽  
Douglas Henderson
Keyword(s):  
Hubbard Model ◽  
Coulomb Interaction

scholarly journals Supersymmetric Cluster Expansions and Applications to Random Schrödinger Operators

2021 ◽  
Vol 24 (1) ◽  
Author(s):  
Luca Fresta
Keyword(s):  
Density Of States ◽  
Local Density ◽  
Schrödinger Operators ◽  
Random Schrödinger Operators ◽  
Schrodinger Operators ◽  
Local Density Of States ◽  
Weak Disorder ◽  
Cluster Expansions ◽  
Strong Disorder ◽  
Lifshitz Tail

AbstractWe study discrete random Schrödinger operators via the supersymmetric formalism. We develop a cluster expansion that converges at both strong and weak disorder. We prove the exponential decay of the disorder-averaged Green’s function and the smoothness of the local density of states either at weak disorder and at energies in proximity of the unperturbed spectrum or at strong disorder and at any energy. As an application, we establish Lifshitz-tail-type estimates for the local density of states and thus localization at weak disorder.

scholarly journals Anderson localization effects on the doped Hubbard model

2021 ◽  
Vol 103 (24) ◽  
Author(s):  
Nathan Giovanni ◽  
Marcello Civelli ◽  
Maria C. O. Aguiar
Keyword(s):  
Hubbard Model ◽  
Anderson Localization

scholarly journals Efficient fluctuation-exchange approach to low-temperature spin fluctuations and superconductivity: From the Hubbard model to NaxCoO2·yH2O

2021 ◽  
Vol 103 (20) ◽  
Author(s):  
Niklas Witt ◽  
Erik G. C. P. van Loon ◽  
Takuya Nomoto ◽  
Ryotaro Arita ◽  
Tim O. Wehling
Keyword(s):  
Low Temperature ◽  
Hubbard Model ◽  
Spin Fluctuations
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