U→∞ problem for a finite hole concentration: A bosonization approach for the normal-state high-Tc superconductors

D. Schmeltzer

doi:10.1103/PhysRevB.48.10466

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U→∞ problem for a finite hole concentration: A bosonization approach for the normal-state high-Tc superconductors

D. Schmeltzer

DOI 10.1103/PhysRevB.48.10466 · Physical Review B

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Abstract

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 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 Luttinger-liquid representation. In the second part we parametrize the Fermi surface by a set of N points. Around each point we describe the Fermi surface excitations by holons and spinons and find a set of N-coupled Luttinger channels. At T=0 we have space-time tunneling of electric charges which destroys the Luttinger liquid in favor of a Fermi liquid. At T≠0 or LT→∞ (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.