scholarly journals Exotic spin, charge and pairing correlations of the two-dimensional doped Hubbard model: A symmetry-entangled mean-field approach

2013 ◽  
Vol 87 (11) ◽  
Author(s):  
O. Juillet ◽  
R. Frésard
Keyword(s):  
Hubbard Model ◽  
Mean Field ◽  
Two Dimensional ◽  
Field Approach ◽  
Pairing Correlations

scholarly journals Pairing symmetries in the Zeeman-coupled extended attractive Hubbard model

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Swagatam Nayak ◽  
Navketan Batra ◽  
Sanjeev Kumar
Keyword(s):  
Hubbard Model ◽  
Mean Field ◽  
Field Approach ◽  
Hartree Fock ◽  
Average Electron Density ◽  
Pairing Symmetries ◽  
Pairing Correlations ◽  
Attractive Hubbard Model ◽  
Average Electron ◽  
Superconducting Pairing

AbstractBy introducing the possibility of equal- and opposite-spin pairings concurrently, we show that the ground state of the extended attractive Hubbard model (EAHM) exhibits rich phase diagrams with a variety of singlet, triplet, and mixed parity superconducting orders. We study the competition between these superconducting pairing symmetries invoking an unrestricted Hartree–Fock–Bogoliubov–de Gennes (HFBdG) mean-field approach, and we use the d-vector formalism to characterize the nature of the stabilized superconducting orders. We discover that, while all other types of orders are suppressed, a non-unitary triplet order dominates the phase space in the presence of an in-plane external magnetic field. We also find a transition between a non-unitary to unitary superconducting phase driven by the change in average electron density. Our results serve as a reference for identifying and understanding the nature of superconductivity based on the symmetries of the pairing correlations. The results further highlight that EAHM is a suitable effective model for describing most of the pairing symmetries discovered in different materials.

FAILURE OF A MEAN-FIELD APPROACH FOR THE MILLER–HUSE PHASE TRANSITION

2000 ◽  
Vol 10 (01) ◽  
pp. 251-256 ◽  
Author(s):  
FRANCISCO SASTRE ◽  
GABRIEL PÉREZ
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Chaotic Maps ◽  
Initial Conditions ◽  
Mean Field ◽  
Region Of Interest ◽  
Universality Class ◽  
Two Dimensional ◽  
Field Approach

The diffusively coupled lattice of odd-symmetric chaotic maps introduced by Miller and Huse undergoes a continuous ordering phase transition, belonging to a universality class close but not identical to that of the two-dimensional Ising model. Here we consider a natural mean-field approach for this model, and find that it does not have a well-defined phase transition. We show how this is due to the coexistence of two attractors in its mean-field description, for the region of interest in the coupling. The behavior of the model in this limit then becomes dependent on initial conditions, as can be seen in direct simulations.

scholarly journals Pairing Correlations in the Two-Dimensional Hubbard Model

1997 ◽  
Vol 78 (23) ◽  
pp. 4486-4489 ◽  
Author(s):  
Shiwei Zhang ◽  
J. Carlson ◽  
J. E. Gubernatis
Keyword(s):  
Hubbard Model ◽  
Two Dimensional ◽  
Pairing Correlations

Pairing Correlations in the Two-Dimensional Hubbard Model [Phys. Rev. Lett. 78, 4486 (1997)]

2000 ◽  
Vol 84 (11) ◽  
pp. 2550-2550 ◽  
Author(s):  
Shiwei Zhang ◽  
J. Carlson ◽  
J. E. Gubernatis
Keyword(s):  
Hubbard Model ◽  
Two Dimensional ◽  
Pairing Correlations
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