Abstract

We consider a narrow one-dimensional tight-binding chain with intra-atomic Coulomb repulsions described in the Hubbard model. The electrons at each site are furthermore assumed to be coupled to a high-frequency local oscillator. In the limit where the oscillator frequency is large compared to the bandwidth, and in the extreme-band-narrowing regime, for various electron densities, we find that: the half-filled-band ground state is an antiferromagnetic insulator; the one-third-filled-band ground state is a diamagnetic insulator; and the one-quarter-filled-band ground state is a weakly coupled system of bound singlet pairs somewhat reminiscent of superconductivity.

Keywords

PhysicsCondensed matter physicsPolaronGround stateDiamagnetismElectronAntiferromagnetismCoulombElectronic band structureAtomic physicsMagnetic fieldQuantum mechanics

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Publication Info

Year
1974
Type
article
Volume
10
Issue
5
Pages
1896-1901
Citations
60
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G. Beni, P. Pincus, Junjiro Kanamori (1974). Low-temperature properties of the one-dimensional polaron band. I. Extreme-band-narrowing regime. Physical review. B, Solid state , 10 (5) , 1896-1901. https://doi.org/10.1103/physrevb.10.1896

Identifiers

DOI
10.1103/physrevb.10.1896