scholarly journals Spectral properties of the three-dimensional Hubbard model

2011 ◽  
Vol 83 (23) ◽  
Author(s):  
Sebastian Fuchs ◽  
Emanuel Gull ◽  
Matthias Troyer ◽  
Mark Jarrell ◽  
Thomas Pruschke
Keyword(s):  
Hubbard Model ◽  
Spectral Properties ◽  
Three Dimensional

Erratum: Spectral properties of the three-dimensional Hubbard model [Phys. Rev. B83, 235113 (2011)]

2011 ◽  
Vol 84 (3) ◽  
Author(s):  
Sebastian Fuchs ◽  
Emanuel Gull ◽  
Matthias Troyer ◽  
Mark Jarrell ◽  
Thomas Pruschke
Keyword(s):  
Hubbard Model ◽  
Spectral Properties ◽  
Three Dimensional

Spectral properties of the Hubbard model

1995 ◽  
Vol 206-207 ◽  
pp. 160-162
Author(s):  
Tsutomu Momoi
Keyword(s):  
Hubbard Model ◽  
Spectral Properties

scholarly journals Spectral properties of magnetohydrodynamic convection with mean horizontal temperature gradient

2006 ◽  
Vol 2 (S239) ◽  
pp. 513-513
Author(s):  
D. Skandera ◽  
W.-Ch. Müller
Keyword(s):  
Temperature Field ◽  
Rayleigh Number ◽  
Temperature Gradient ◽  
Numerical Simulations ◽  
Spectral Properties ◽  
Three Dimensional ◽  
Numerical Code ◽  
Dimensional System ◽  
Horizontal Temperature Gradient ◽  
Mhd Turbulence

AbstractSpectral properties of convective magnetohydrodynamic (MHD) turbulence in two and three dimensions are studied by means of direct numerical simulations (Skandera D. & Müller W.-C. 2006). The investigated system is set up with a mean horizontal temperature gradient in order to avoid a development of elevator instabilities in a fully periodic box. All simulations are performed without mean magnetic field. The applied resolution is 5123 and 20482. The MHD equation are solved by a numerical code (Müller & Biskamp 2000) that uses a standard pseudospectral scheme. For removing of aliasing errors a spherical truncation method is employed. Obtained results are compared with predictions of various existing phenomenological theories for magnetohydrodynamic and convective turbulence (Müller & Biskamp 2000). While the three-dimensional system is found to operate in a Kolmogorov-like regime where buoyant forces have a negligible impact on the turbulence dynamics (relatively low Rayleigh number achieved in the simulation; Ra ∼106), the two-dimensional system exhibits interesting irregular quasi-oscillations between a buoyancy dominated Bolgiano-Obukhov-like regime of turbulence and a standard Iroshnikov-Kraichnan-like regime of turbulence (Müller & Biskamp 2000). The most important parameter determining the turbulent regime of 2D magnetoconvection, apart from a high Rayleigh number, seems to be the mutual alignment of velocity and magnetic fields. The non-linear dynamics and the interplay between individual fields are examined with different transfer functions that confirm basic assumptions about directions of energy transfer in spectral space. Kinetic, magnetic and temperature energy are transported by a turbulent cascade from large to smaller scales. The local/nonlocal character of the transport is tested for several individual terms in the governing equations. Moreover, other statistical quantities, e.g. probability density functions, are computed as well. A passive character of the temperature field in the investigated three-dimensional magnetoconvection is supported by computations of intermittency using extended self-similarity. The intermittency of the Elsasser field z+ is in agreement with results from numerical simulations of isotropic MHD turbulence (Müller & Biskamp 2000). The intermittency of the temperature field is found to approximately agree with results of passive scalar measurements in hydrodynamic turbulence (Ruiz-Chavarria, Baudet & Ciliberto 1996).

scholarly journals One-particle spectral weight of the three-dimensional single-band Hubbard model

1996 ◽  
Vol 54 (23) ◽  
pp. 16523-16532 ◽  
Author(s):  
M. Ulmke ◽  
R. T. Scalettar ◽  
A. Nazarenko ◽  
E. Dagotto
Keyword(s):  
Hubbard Model ◽  
Three Dimensional ◽  
Spectral Weight ◽  
Single Band

scholarly journals Dirac operators with Lorentz scalar shell interactions

2018 ◽  
Vol 30 (05) ◽  
pp. 1850013 ◽  
Author(s):  
Markus Holzmann ◽  
Thomas Ourmières-Bonafos ◽  
Konstantin Pankrashkin
Keyword(s):  
Dirac Operator ◽  
Spectral Properties ◽  
Smooth Surface ◽  
Three Dimensional ◽  
The Self ◽  
Eigenvalue Asymptotics ◽  
Yang Mills ◽  
Lorentz Scalar ◽  
Definition Of ◽  
The Individual

This paper deals with the massive three-dimensional Dirac operator coupled with a Lorentz scalar shell interaction supported on a compact smooth surface. The rigorous definition of the operator involves suitable transmission conditions along the surface. After showing the self-adjointness of the resulting operator, we switch to the investigation of its spectral properties, in particular, to the existence and non-existence of eigenvalues. In the case of an attractive coupling, we study the eigenvalue asymptotics as the mass becomes large and show that the behavior of the individual eigenvalues and their total number are governed by an effective Schrödinger operator on the boundary with an external Yang–Mills potential and a curvature-induced potential.

REENTRANT CHARGE ORDERING BEHAVIOUR IN THE EXTENDED HUBBARD MODEL

2001 ◽  
Vol 15 (26) ◽  
pp. 1217-1224 ◽  
Author(s):  
ANH TUAN HOANG
Keyword(s):  
Hubbard Model ◽  
Three Dimensional ◽  
Charge Ordering ◽  
Coherent Potential Approximation ◽  
Coulomb Energy ◽  
Extended Hubbard Model ◽  
Potential Approximation ◽  
Ordering Transition

We study the charge ordering behavior in a three-dimensional extended Hubbard model using the Coherent potential approximation (CPA). It is shown that the charge ordering transition occurs due to the competition between kinetic and Coulomb energy. At various band fillings a simple reentrant behavior of the charge ordering transition is found.

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