Holon Pairing Instability based on the Bethe-Salpeter Equation obtained from the t-J Hamiltonians of both U(1) and SU(2) Slave-boson Symmetries

We investigate a possibility of holon pairing for bose condensation based on the Bethe-Salpeter equation obtained from the use of the t-J Hamiltonians of both t he U(1) and SU(2) slave-boson symmetries. It is shown that the vertex function contributed from ladder diagram series involving holon-holon...

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Bibliographic Details
Published in:arXiv.org 2000-01
Main Authors: Lee, Sung-Sik, Sung-Ho, Suck Salk
Format: Article
Language:English
Subjects:
Arches
Bethe-Salpeter equation
Condensation
Critical temperature
Cuprates
Doping
Ladder diagrams
Stability
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Summary:We investigate a possibility of holon pairing for bose condensation based on the Bethe-Salpeter equation obtained from the use of the t-J Hamiltonians of both t he U(1) and SU(2) slave-boson symmetries. It is shown that the vertex function contributed from ladder diagram series involving holon-holon scattering channel in the Bethe-Salpeter equation leads to a singular behavior at a critical temperature at each hole doping concentration, showing the instability of the normal state against holon pairing. We find that the holon pairing instability occurs only in a limited range of hole doping, by showing an "arch" shaped bose condensation line in agreement with observation for high \(T_c\) cuprates. It is revealed that this is in agreement with a functional integral approach of the slave-boson theories.
ISSN:2331-8422