An intervening metallic phase at the CDW–SDW transition region in the one-dimensional Holstein-Hubbard model at half filling: a semi-exact solution. (12th October 2020)

• Record Type: Journal Article
• Authors: Malik, M Zahid; Chatterjee, Ashok
• Is Part Of: Journal of physics communications. Volume 4:Number 10(2020)
• Publication Date: 2020-10-12
• Subjects: Holstein-Hubbard model -- CDW-SDW transition -- intermediate metallic phase -- semi-exact solution; Physics -- Periodicals; 530.05
• DOI: 10.1088/2399-6528/abb792
• Languages: English
• ISSNs: 2399-6528

Abstract

Abstract: The one-dimensional Holstein–Hubbard model is analyzed at half filling at the CDW-SDW transition region by using a series of unitary transformations. The phonon degrees of freedom are eliminated by averaging the transformed Hamiltonian with respect to a generalized many-phonon state and the resulting effective electronic Hamiltonian is finally solved exactly by employing the Bethe-ansatz technique. The present variational state leads to a lower ground state energy as compared to those obtained from the previous variational calculations and yields a wider intermediate metallic phase at the SDW-CDW transition region confirming the prediction of Takada and Chatterjee.