SIMPLE ATTEMPT TO OBSERVE SUPERCONDUCTIVITY ON ANTIFERROMAGNETIC BACKGROUND IN THE t-J MODEL

1992 ◽  
Vol 06 (20) ◽  
pp. 3327-3340 ◽  
Author(s):  
PAVOL KALINAY

Having treated the t-J Hamiltonian in the mean-field approximation on basis generated by the Hubbard operators [Formula: see text], we tried to find the superconductive phase on the antiferromagnetic background. The pairing of the d-wave symmetry appeared to coexist well with the AF long-range order.

2001 ◽  
Vol 15 (05) ◽  
pp. 479-490 ◽  
Author(s):  
EMMANUELE CAPPELLUTI

The standard mean field slave-boson solution for the infinite-U Hubbard model is revised. A slightly modified version is proposed which includes properly the incoherent contribution of the localized states. In contrast to the standard mean field result, this new proposed solution defines a unique spectral function to be used in the calculation of local and not local quantities, and satisfies the correct thermodynamic relations. The same approach is applied also to the mean field approximation in terms of Hubbard operators. As a byproduct of this analysis, Luttinger's theorem is shown to be fulfilled in a natural way.


1989 ◽  
Vol 03 (06) ◽  
pp. 933-939 ◽  
Author(s):  
HIROYUKI MORI

The effect of interactions between holons and spinons in doped resonating valence bond states is investigated. In particular, we focus on those interactions through which a holon emits or absorbs spinons, and we study the influence of these interactions on the effective mass of a holon along the slave boson treatment in the mean field approximation. Our result asserts that the spinon cloud scarcely affects the effective mass of a holon in both s- and d-wave states.


1973 ◽  
Vol 26 (5) ◽  
pp. 617 ◽  
Author(s):  
R Van der Borght ◽  
JO Murphy

The combined effect of an imposed rotation and magnetic field on convective transfer in a horizontal Boussinesq layer of fluid heated from below is studied in the mean field approximation. The basic equations are derived by a variational technique and their solutions are then found over a wide range of conditions, in the case of free boundaries, by numerical and analytic techniques, in particular by asymptotic and perturbation methods. The results obtained by the different techniques are shown to be in excellent agreement. As for the linear theory, the calculations predict that the simultaneous presence' of a magnetic field and rotation may produce conflicting tendencies.


2018 ◽  
Vol 172 ◽  
pp. 02003
Author(s):  
Alejandro Ayala ◽  
J. A. Flores ◽  
L. A. Hernández ◽  
S. Hernández-Ortiz

We use the linear sigma model coupled to quarks to compute the effective potential beyond the mean field approximation, including the contribution of the ring diagrams at finite temperature and baryon density. We determine the model couplings and use them to study the phase diagram in the baryon chemical potential-temperature plane and to locate the Critical End Point.


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