scholarly journals High-temperature Thermodynamics of the Hubbard Model

1993 ◽  
Vol 46 (5) ◽  
pp. 613
Author(s):  
J Oitmaa ◽  
JA Henderson
Keyword(s):  
High Temperature ◽  
Hubbard Model ◽  
Specific Heat ◽  
High Temperatures ◽  
Padé Approximants ◽  
Numerical Results ◽  
Strongly Correlated ◽  
Cubic Lattices ◽  
Simple Cubic ◽  
Atomic Limit

Recently derived 10th-order high-temperature expansions for the Hubbard model are used to obtain the ferromagnetic susceptibility and specific heat at high temperatures. Numerical results are obtained for the simple cubic and face-centred cubic lattices by using Pade approximants to sum the series. The results are compared with two solvable limiting cases, namely the non-interacting limit U = 0 and the strongly-correlated or atomic limit t = O.

scholarly journals Ferromagnetism in the Highly-Correlated Hubbard Model

2010 ◽  
Vol 168-169 ◽  
pp. 469-472 ◽  
Author(s):  
Valentin Yu. Irkhin ◽  
Alexander V. Zarubin
Keyword(s):  
Hubbard Model ◽  
Magnetic Phase ◽  
Magnetic Phase Diagram ◽  
Strong Correlations ◽  
Cubic Lattices ◽  
Simple Cubic ◽  
Regions Of Stability ◽  
Highly Correlated ◽  
The Many

The Hubbard model with strong correlations is treated in the many-electron representation of the Hubbard's operators. The regions of stability of saturated and non-saturated ferromagnetism in the n–U plane for the square and simple cubic lattices are calculated. The role of the singularities of bare density of states for the magnetic phase diagram is discussed. A comparison with the results of previous works is performed.

Resistance calculation of the decorated centered cubic networks: Applications of the Green's function

2014 ◽  
Vol 28 (32) ◽  
pp. 1450252 ◽  
Author(s):  
M. Q. Owaidat ◽  
J. H. Asad ◽  
J. M. Khalifeh
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Three Dimensional ◽  
Numerical Results ◽  
Effective Resistance ◽  
Cubic Lattice ◽  
Cubic Lattices ◽  
Simple Cubic ◽  
Simple Cubic Lattice

The effective resistance between any pair of vertices (sites) on the three-dimensional decorated centered cubic lattices is determined by using lattice Green's function method. Numerical results are presented for infinite decorated centered cubic networks. A mapping between the resistance of the edge-centered cubic lattice and that of the simple cubic lattice is shown.

q-Deformed Tamm–Dancoff oscillators: Coherent state and thermostatistics

2014 ◽  
Vol 28 (21) ◽  
pp. 1450130 ◽  
Author(s):  
Won Sang Chung ◽  
Abdullah Algin
Keyword(s):  
High Temperature ◽  
Equation Of State ◽  
Coherent State ◽  
Specific Heat ◽  
High Temperatures ◽  
Deformation Parameter ◽  
Quantum Systems ◽  
Oscillator Algebra ◽  
Many Body ◽  
The Real

The q-deformed bosonic Tamm–Dancoff oscillator algebra is considered. The coherent state of the q-deformed bosonic Tamm–Dancoff oscillator algebra is first constructed in detail. Second, the high-temperature thermostatistical properties of a gas of the Tamm–Dancoff oscillators are investigated. For high temperatures, the specific heat, the entropy and the equation of state for the system are derived in terms of the real deformation parameter q. The results obtained by the effects of Tamm–Dancoff type q-deformation show that they could be useful for further researches on understanding of mutual interactions between bosons and fermions in many-body quantum systems.

HIGH TEMPERATURE CALORIMETRY: I. A NEW ADIABATIC CALORIMETER

1950 ◽  
Vol 28a (1) ◽  
pp. 44-50 ◽  
Author(s):  
L. D. Armstrong
Keyword(s):  
High Temperature ◽  
Specific Heat ◽  
Temperature Interval ◽  
High Temperatures ◽  
Adiabatic Calorimeter ◽  
Small Temperature ◽  
Specific Heats ◽  
Definite Temperature

In this paper is described a new calorimeter for the measurement of specific heats at high temperatures, by the adiabatic method. The advantage is that the specific heat at a definite temperature can be determined by a measurement taken over a small temperature interval, with a precision of 1% or better, throughout the range 400 °C. to 800 °C. This permits a study of specific heat anomalies in this range.

High Temperature Thermodynamics of the Strongly Correlated Hubbard Model at Arbitrary Electron Density

1973 ◽  
Author(s):  
G. Beni ◽  
P. Pincus ◽  
D. W. Hone ◽  
Hugh C. Wolfe ◽  
C. D. Graham ◽  
...  
Keyword(s):  
High Temperature ◽  
Hubbard Model ◽  
Electron Density ◽  
Strongly Correlated

HIGH TEMPERATURE EFFECTS IN THE HUBBARD MODEL

1994 ◽  
Vol 08 (08) ◽  
pp. 1065-1079
Author(s):  
J. FABIAN
Keyword(s):  
Perturbation Theory ◽  
High Temperature ◽  
Hubbard Model ◽  
Explicit Formula ◽  
High Temperatures ◽  
Temperature Effects ◽  
Algebraic Method ◽  
Temperature Perturbation ◽  
Periodic Part ◽  
Aharonov Bohm

In this paper we investigate the Hubbard model at high temperatures. For this reason a simple algebraic method based on the Γ-representation of an original Hamiltonian is developed. The results thus obtained does imply no paradoxes as it is when doing some approximations starting from Lieb’s and Wu’s solutions. It is shown that a periodic behavior of observables can be predicted from high temperature perturbation theory. This periodicity is based on the Aharonov-Bohm-like effects on a lattice with the dimension d>1. An explicit formula for the periodic part of magnetization is given for d=2.

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