[ital U][r arrow][infinity] problem for a finite hole concentration: A bosonization approach for the normal-state high-[ital T][sub [ital c]] superconductors

Journal Article · Fri Oct 01 00:00:00 EDT 1993 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.48.10466· OSTI ID:6108736

Schmeltzer, D ^[1]

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1. Department of Physics, City College of The City University of New York, New York, New York 10031 (United States)

The Hubbard model in the strong coupling limit is considered in two dimensions. A bosonization method based on the extention of the Jordan-Wigner transformation to particles with spin and no double occupancy is introduced. We find that at [ital T]=0 a Fermi liquid exists and superconductivity appears. For a finite temperature and finite doping a normal state populated with vortices exists. As a result, we have a normal state with separated charge- and spin-density-wave excitations. Formally those excitations can be described with the help of the [ital Luttinger][minus][ital liquid] representation. In the second part we parametrize the Fermi surface by a set of [ital N] points. Around each point we describe the Fermi surface excitations by holons and spinons and find a set of [ital N]-coupled Luttinger channels. At [ital T]=0 we have space-time tunneling of electric charges which destroys the Luttinger liquid in favor of a Fermi liquid. At [ital T][ne]0 or [ital LT][r arrow][infinity] ([ital L] is the size of the system) tunneling of electric charges might be prohibited giving rise to gapless excitations. In the last part we consider the case with a commensurate frozen flux in the ground state. As a result we find that the excitations are semions.

• OSTI ID: 6108736
• Journal Information: Physical Review, B: Condensed Matter; (United States), Vol. 48:14; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
HIGH-TC SUPERCONDUCTORS
HUBBARD MODEL
BOSONS
ELECTRON CORRELATION
FERMI GAS
GAUGE INVARIANCE
HOLES
STRONG-COUPLING MODEL
TEMPERATURE DEPENDENCE
CORRELATIONS
CRYSTAL MODELS
FLUIDS
GASES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
SUPERCONDUCTORS
665400* - Quantum Physics Aspects of Condensed Matter- (1992-)