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Charge transfer and the statistics of holons in a periodical lattice

1999; IOP Publishing; Volume: 11; Issue: 32 Linguagem: Inglês

10.1088/0953-8984/11/32/310

1361-648X

Ilya G. Kaplan, O. Navarro,

Cold Atom Physics and Bose-Einstein Condensates

The collective charge state (holon) in a periodical lattice is defined. The exact commutation relations for the holon operators correspond to the modified para-Fermi statistics of rank M (M is the number of lattice sites at which the hole can be created), i.e. one state can be occupied by up to M holons. At small concentration, the holon gas can be treated as a bosonic system. In the general case, the holon gas is characterized by the immanent interaction and coupling among the different holon band states, even in the absence of dynamic interactions (the so-called kinematic interaction). In spite of the kinematic interaction, there is no statistical prohibition of Bose-Einstein condensation in the holon system. The possible extension of the approach developed to the coupled hole pairs in high-Tc superconductors is discussed.