ISSN:
1572-9613
Keywords:
Bethe ansatz
;
Hubbard model
;
finite-size corrections
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We solve exactly the problem of a one-dimensional repulsive-U Hubbard chain with toroidal boundary conditions (HTB) using the Bethe ansatz approach. We calculate analytically the finite-size corrections to the ground-state energy in the half-filled case and use this expression to derive charge and spin stiffnesses with no assumptions. We then use a “particle-hole” transformation to calculate the finite-size corrections for the half-filledattractive- U case, and again derive the resulting expressions for the charge and spin stiffnesses. Lastly, we discuss how the repulsive-U corrections relate to those of a Heisenberg model with toroidal boundary conditions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01057877
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