Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1997-03-25
Physics
Condensed Matter
Strongly Correlated Electrons
Latex file, 10 output pages, 3 Figures (available on request to biplab@hp1.saha.ernet.in), to appear in Phys. Rev. B (BR)
Scientific paper
10.1103/PhysRevB.55.15364
We consider an extended Hubbard model of interacting fermions on a lattice. The fermion kinetic energy corresponds to a tight binding Hamiltonian with nearest neighbour (-t) and next nearest neighbour (t') hopping matrix elements. In addition to the onsite Hubbard interaction (U) we also consider a nearest neighbour repulsion (V). We obtain the zero temperature phase diagram of our model within the Hartree-Fock approximation. We consider ground states having charge and spin density wave ordering as well as states with orbital antiferromagnetism or spin nematic order. The latter two states correspond to particle-hole binding with $d_{x^2-y^2}$ symmetry in the charge and spin channels respectively. For $t' = 0$, only the charge density wave and spin density wave states are energetically stable. For non-zero t', we find that orbital antiferromagnetism (or spin nematic) order is stable over a finite portion of the phase diagram at weak coupling. This region of stability is seen to grow with increasing values of t'.
Chattopadhyay Biplab
Gaitonde D. M.
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