Perturbation study on the spin and charge susceptibilities of the two-dimensional Hubbard model
Open accessAbstract
We investigate the spin and charge susceptibilities of the two-dimensional Hubbard model based upon the perturbative calculation in the strength of correlation U. For U comparable to a bare bandwidth, the charge susceptibility decreases near half filling as hole doping approaches zero. This behavior suggesting the precursor of the Mott-Hubbard gap formation cannot be obtained without the vertex corrections beyond the random-phase approximation. In the low-temperature region, the spin susceptibility deviates from the Curie-Weiss-like law and finally turns to decrease with the decrease of temperature. This spin-gap-like behavior originates from the van Hove singularity in the density of states. \textcopyright{} 1996 The American Physical Society.
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The Hamiltonian constraint acts by annihilating, creating, and rerouting angular-momentum quanta in units of ±h, ±h/2, and 0.
“the Hamiltonian constraint acts by annihilating, creating and re-routing the quanta of angular momentum (with which the graphs of the so-called spin-network [28][29][30] states are 'coloured') in units of ±h, ±h/2, 0.”
From Quantum spin dynamics (QSD) (1998) · cites this paper as [28]
Spin-network states form an orthonormal basis on the Hilbert space.
“An orthonormal basis on H is given by the so-called spin-network states [28][29][30]”
From Quantum spin dynamics (QSD) (1998) · cites this paper as [28]
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Research works printed but not linked: 1
- 21 W. H. Press, B. P. Flannery, S. A. Tenkolsky and W. T. Vetterling : Numerical Recipes , (Press Syndicate of the University of Cambridge, New York, 1986), p.490.
- Authors
- Hotta, T., & Fujimoto, S.
- Affiliations
- The University of Tokyo (JP)
- Kyoto University (JP)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1996-08-15
- Volume
- 54
- Issue
- 8
- Pages
- 5381-5388
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W2078156445
- Cited by
- 17
- References
- 28
- Citations by year
- 2022: 1 · 2015: 1
- FWCI
- 3.19
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. B, Condensed matter (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Keywords
- two-dimensional Hubbard model, spin susceptibility, charge susceptibility, Mott-Hubbard transition, spin gap, van Hove singularity, vertex corrections, random phase approximation, p-type doping, Curie-Weiss law
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