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Effective action for strongly correlated electron systems
Authors:A Ferraz  EA Kochetov
Institution:a International Institute of Physics - UFRN, Department of Experimental and Theoretical Physics - UFRN, Natal, Brazil
b International Institute of Physics - UFRN, Natal, Brazil
c Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
Abstract:The su(2|1) coherent-state path-integral representation of the partition function of the t-J model of strongly correlated electrons is derived at finite doping. The emergent effective action is compared to the one proposed earlier on phenomenological grounds by Shankar to describe holes in an antiferromagnet R. Shankar, Nucl. Phys. B 330 (1990) 433]. The t-J model effective action is found to have an important “extra” factor with no analogue in Shankar?s action. It represents the local constraint of no double electron occupancy and reflects the rearrangement of the underlying phase-space manifold due to the presence of strong electron correlation. This important ingredient is shown to be essential to describe the physics of strongly correlated electron systems.
Keywords:_method=retrieve&  _eid=1-s2  0-S0550321311004445&  _mathId=si4  gif&  _pii=S0550321311004445&  _issn=05503213&  _acct=C000054348&  _version=1&  _userid=3837164&  md5=1abd9c643dc08ca25694114297ede5b7')" style="cursor:pointer  t-J model of strongly correlated electrons" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">t-J model of strongly correlated electrons  _method=retrieve&  _eid=1-s2  0-S0550321311004445&  _mathId=si5  gif&  _pii=S0550321311004445&  _issn=05503213&  _acct=C000054348&  _version=1&  _userid=3837164&  md5=310b9516bc4a7cb2eacae73da94cf222')" style="cursor:pointer  su(2|1) coherent-state path integral" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">su(2|1) coherent-state path integral
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