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Charge-Spin Separation and Pairing in a Generalized Hubbard Model

  • Christian Kübert
  • Alejandro Muramatsu
Chapter
  • 380 Downloads
Part of the NATO ASI Series book series (NSSB, volume 343)

Abstract

Starting with the strong-coupling limit of the three-band Hubbard model, we construct an effective field-theory for holes moving in a slowly varying antiferromagnetic (AF) spin-background. The spin degrees of freedom are integrated out within an expansion in generalized Berry-phases. By choosing a spin-quantization axis for the fermions that rotates with the antiferromagnetic order parameter, a gauge theory is obtained where the fermions are minimally coupled to a vector gauge-field, whose fluctuations are controlled by the CP 1 model. As a consequence of the confining potential produced by the U(1) gauge-fields in (2+1) dimensions, bound states result corresponding to charge-spin separation and pairing. An alternative representation in the laboratory reference frame gives a coupling of spin- and fermionic currents that was first obtained by Shraiman and Siggia for the t — J model. The physical content of the gauge-fields is revealed in the global reference frame as chiral spin-fluctuations.

Keywords

Reference Frame Hubbard Model Quantum Monte Carlo Global Reference Frame Laboratory Reference Frame 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Christian Kübert
    • 1
  • Alejandro Muramatsu
    • 1
  1. 1.Physikalisches InstitutUniversität WürzburgWürzburgGermany

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