Ground-state properties of the one-dimensional attractive Hubbard model with confinement: A comparative study

Journal Article · Thu Jul 01 04:00:00 EDT 2010 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.82.014202· OSTI ID:21386911

Jihong, Hu; Jingjing, Wang; Xianlong, Gao ^[1]; Okumura, Masahiko; Igarashi, Ryo; Yamada, Susumu; Machida, Masahiko ^[2]

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1. Department of Physics, Zhejiang Normal University, Jinhua 340012 (China)
2. CCSE, Japan Atomic Energy Agency, 6-9-3 Higashi-Ueno, Taito-ku, Tokyo 110-0015 (Japan)

We revisit the one-dimensional attractive Hubbard model by using the Bethe-ansatz-based density-functional theory and density-matrix renormalization method. The ground-state properties of this model are discussed in details for different fillings and different confining conditions in weak-to-intermediate coupling regime. We investigate the ground-state energy, energy gap, and pair-binding energy and compare them with those calculated from the canonical Bardeen-Cooper-Schrieffer approximation. We find that the Bethe-ansatz-based density-functional theory is computationally easy and yields an accurate description of the ground-state properties for weak-to-intermediate interaction strength, different fillings, and confinements. In order to characterize the quantum phase transition in the presence of a harmonic confinement, we calculate the thermodynamic stiffness, the density-functional fidelity, and fidelity susceptibility, respectively. It is shown that with the increase in the number of particles or attractive interaction strength, the system can be driven from the Luther-Emery-type phase to the composite phase of Luther-Emery-type in the wings and insulatinglike in the center.

• OSTI ID: 21386911
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 1 Vol. 82; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
APPROXIMATIONS
BCS THEORY
BINDING ENERGY
CALCULATION METHODS
COMPARATIVE EVALUATIONS
CONFINEMENT
COUPLING
CRYSTAL MODELS
DENSITY FUNCTIONAL METHOD
DENSITY MATRIX
ENERGY
ENERGY GAP
ENERGY LEVELS
EVALUATION
FLEXIBILITY
GROUND STATES
HUBBARD MODEL
INTERACTIONS
INTERMEDIATE COUPLING
MATHEMATICAL MODELS
MATRICES
MECHANICAL PROPERTIES
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
RENORMALIZATION
TENSILE PROPERTIES
VARIATIONAL METHODS