A semi exact solution for a metallic phase in a Holstein-Hubbard chain at half filling with Gaussian anharmonic phonons
Open Access
- 10 June 2021
- journal article
- research article
- Published by Springer Science and Business Media LLC in Scientific Reports
- Vol. 11 (1), 1-14
- https://doi.org/10.1038/s41598-021-91604-6
Abstract
The nature of phase transition from an antiferromagnetic SDW polaronic Mott insulator to the paramagnetic bipolaronic CDW Peierls insulator is studied for the half-filled Holstein-Hubbard model in one dimension in the presence of Gaussian phonon anharmonicity. A number of unitary transformations performed in succession on the Hamiltonian followed by a general many-phonon averaging leads to an effective electronic Hamiltonian which is then treated exactly by using the Bethe-Ansatz technique of Lieb and Wu to determine the energy of the ground state of the system. Next using the Mott–Hubbard metallicity condition, local spin-moment calculation, and the concept of quantum entanglement entropy and double occupancy, it is shown that in a plane spanned by the electron–phonon coupling coefficient and onsite Coulomb correlation energy, there exists a window in which the SDW and CDW phases are separated by an intermediate phase that is metallic.Funding Information
- Department of Science and Technology, India (DST/INSPIRE Fellowship/2017/IF170064)
- University Grants Commission (MANF-2015-17-JAM-72422 (SA-III))
This publication has 37 references indexed in Scilit:
- Possibility of a metallic phase in the charge-density-wave–spin-density-wave crossover region in the one-dimensional Hubbard-Holstein model at half fillingPhysical Review B, 2003
- Recent experimental insights into HTSC materialsPhysica C: Superconductivity and its Applications, 2000
- STABILITY OF LARGE OPTICAL SINGLET BIPOLARONS, MANY-PARTICLE EFFECTS AND HIGH TEMPERATURE SUPERCONDUCTIVITYModern Physics Letters B, 1992
- MULTI-DIMENSIONAL FRÖHLICH BIPOLARON AND DIMENSIONAL SCALINGInternational Journal of Modern Physics B, 1990
- Superconductivity in narrow-band systems with local nonretarded attractive interactionsReviews of Modern Physics, 1990
- Lattice instability and strong electron-phonon coupling for high-Tc superconductivityPhysica C: Superconductivity and its Applications, 1989
- New theory of strong-coupling superconductors and high-temperature superconductivity of metallic oxidesPhysical Review B, 1988
- Squeezed bipolaronic states and high temperature superconductivity in BaLaCuO systemsSolid State Communications, 1987
- Direct evidence of the importance of electron-phonon coupling inCu: Photoinduced ir-active vibrational modesPhysical Review B, 1987
- Phase diagram of one-dimensional electron-phonon systems. II. The molecular-crystal modelPhysical Review B, 1983