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arXiv:0808.1578 · Acta Physica Polonica A

On the Phase Diagram of Spin-Polarized Attractive Hubbard Model: Weak Coupling Limit

Agnieszka Kujawa, R. Micnas

Published Jul 1, 2008• 8 citations
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Abstract

The superfluid properties of the attractive Hubbard model in a Zeeman magnetic field, and in the weak coupling regime were investigated.The temperature and magnetic field dependences of the order parameter were analyzed.Furthermore, the temperature vs. magnetic field and temperature vs. spin polarization phase diagrams for the 2D and 3D lattices were obtained.For some parameters a reentrant transition was found.

DOI
10.12693/aphyspola.114.43

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The superfluid properties of the attractive Hubbard model in a Zeeman magnetic field, and in the weak coupling regime were investigated.The temperature and magnetic field dependences of the order parameter were analyzed.Furthermore, the temperature vs. magnetic field and temperature vs. spin polarization phase diagrams for the 2D and 3D lattices were obtained.For some parameters a reentrant transition was found.
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The influence of a Zeeman magnetic field on the superconducting characteristics of the attractive Hubbard model was investigated.The ground state and temperature phase diagrams were obtained for a fixed number of particles.Two critical magnetic fields were found for the first order phase transition from the superconducting to the normal state for n = 1.For some range of parameters a reentrant transition was found and gapless superconductivity was obtained.The significance of the Hartree term was also analyzed.
We study the evolution from the weak coupling (BCS-like limit) to the strong coupling limit of tightly bound local pairs (LPs) with increasing attraction, in the presence of the Zeeman magnetic field ( h ) for d =2, within the spin-polarized attractive Hubbard model. The broken symmetry Hartree approximation as well as the strong coupling expansion are used. We also apply the Kosterlitz-Thouless (KT) scenario to determine the phase coherence temperatures. For spin-independent hopping integrals ( t ↑ = t ↓ ), we find no stable homogeneous polarized superfluid (SC M ) state in the ground state for the strong attraction and obtain that for a two-component Fermi system on a 2D lattice with population imbalance, phase separation (PS) is favoured for a fixed particle concentration, even on the LP (BEC) side. We also examine the influence of spin-dependent hopping integrals (mass imbalance) on the stability of the SC M phase. We find a topological quantum phase transition (Lifshitz type) from the unpolarized superfluid phase (SC 0 ) to SC M and tricritical points in the h -| U | and t ↑ / t ↓ -| U | ground-state phase diagrams. We also construct the finite temperature phase diagrams for both t ↑ = t ↓ and t ↑ ≠ t ↓ and analyze the possibility of occurrence of a spin-polarized KT superfluid.
We analyze the evolution from the weak coupling (BCS-like limit) to the strong coupling limit of tightly bound local pairs in the 2D asymmetric attractive Hubbard model, in the presence of the Zeeman magnetic eld (h).The broken symmetry Hartree approximation is used.We also apply the KosterlitzThouless scenario to determine the phase coherence temperatures.We obtain that for the spin dependent hopping integrals (t ↑ ̸ = t ↓ ) the homogeneous polarized superuid (SCM ) phase in the ground state for the strong attraction and lower lling can be stabilized.We nd a topological quantum phase transition (the Lifshitz type) from the unpolarized superuid phase (SC0) to SCM and tricritical point in the (h -µ) and spin polarization (P ) vs. attraction (U < 0) ground state phase diagrams.The nite temperatures phase diagrams for t ↑ ̸ = t ↓ are constructed.
The influence of the Zeeman magnetic field (h) on the ground state evolution of superfluid properties from the weak coupling (BCS-like) to the strong coupling limit of tightly bound local pairs with increasing attraction has been studied.The analysis was carried out within the spin-polarized attractive Hubbard model, for a fixed number of particles and a d = 3 simple cubic lattice.The broken symmetry Hartree approximation was used.For strong attraction and in the dilute limit, the homogeneous magnetized superconducting phase (SC M ) was found in the h-|U | and P -|U | diagrams.
[[abstract]]The thermodynamic phase diagram of the attractive Hubbard model in the presence of magnetic field is calculated in wide range of temperature, electron concentration and coupling strength within the generalized self-consistent field (GSCF) approach, including the spin density correlations. The theory provides a smooth transition driven by applied magnetic field IL and temperature T from the homogeneous superconducting state into a spatially inhomogeneous state with the order parameter Delta ((-))(Q) not equal 0.