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Electrons with correlated hopping interaction in one dimension
Author(s) -
Japaridze G.,
MüllerHartmann E.
Publication year - 1994
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19945060304
Subject(s) - physics , phase diagram , condensed matter physics , hubbard model , superconductivity , electron , ground state , coupling (piping) , coupling constant , amplitude , phase (matter) , renormalization , quantum mechanics , materials science , metallurgy
The 1D system of correlated electrons characterized in addition to the usual on‐site ( U ) and nearest‐neighbour ( V ) repulsion by a correlated‐hopping term ( t *) is considered. The ground state phase diagram is studied within the framework of the weak‐coupling continuum‐limit approach. At filling v the effective interaction originating from the correlated‐hopping term which appears in the continuum‐limit theory is given by t * cos (πv). Being repulsive for v < 1/2 and attractive for v > 1/2, this interaction leads to a characteristic band‐filling dependence of the phase diagram of the system. For v ≠ 1/2, depending on the relation between the bare values of the coupling constants ( U, V, t * cos (π v)) and, hence, on the band‐filling, the system shows three different phases in the infrared limit: a Luttinger metal, a nonmagnetic metal and a singlet superconducting phase. For v = 1/2, the correlated‐hopping interaction is dynamically trivial, leading only to a renormalization of the oneelectron hopping amplitude and the phase diagram of the model coincides with that of the extended Hubbard model.