Two-hole problem in the t-J model: A canonical transformation approach

Journal Article · Fri Aug 01 04:00:00 EDT 1997 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.56.3381· OSTI ID:528105

Belinicher, V I; Chernyshev, A L; Shubin, V A ^[1]

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1. Institute of Semiconductor Physics, 630090, Novosibirsk (Russia)

The t-J model in the spinless-fermion representation is studied. An effective Hamiltonian for the quasiparticles is derived using a canonical transformation approach. It is shown that the rather simple form of the transformation generator allows one to take into account the effect of hole interactions with the short-range spin waves and to describe the single-hole ground state. Obtained results are very close to ones of the self-consistent Born approximation. Further accounting of the long-range spin-wave interaction is possible on a perturbative basis. Spin-wave exchange and an effective interaction due to minimization of the number of broken antiferromagnetic bonds are included in the effective quasiparticle Hamiltonian. The two-hole bound state problem is solved using a Bethe-Salpeter equation. The only bound state found to exist in the region of 1{lt}(t/J){lt}5 is the d wave. Both types of the hole-hole interaction are important for its formation. A discussion of the possible relation of the obtained results to the problem of superconductivity in real systems is presented. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 528105
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 6 Vol. 56; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BORN APPROXIMATION
BOUND STATE
FERMIONS
HIGH-TC SUPERCONDUCTORS
HOLES
POSTULATED PARTICLES
SPIN WAVES
SUPERCONDUCTIVITY