Metallicity in a Holstein-Hubbard Chain at Half Filling with Gaussian Anharmonicity

Abstract The Holstein-Hubbard model with Gaussian phonon anharmonicity is studied in one-dimension at half filling using a variational method based on a series of canonical transformations. A fairly accurate phonon state is chosen to average the transformed Holstein-Hubbard Hamiltonian to obtain an...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Ch. Uma Lavanya, I. V. Sankar, Ashok Chatterjee
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/71592300d934439b9147a0be39535dfd
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:71592300d934439b9147a0be39535dfd
record_format	dspace
spelling	oai:doaj.org-article:71592300d934439b9147a0be39535dfd2021-12-02T11:53:04ZMetallicity in a Holstein-Hubbard Chain at Half Filling with Gaussian Anharmonicity10.1038/s41598-017-03985-22045-2322https://doaj.org/article/71592300d934439b9147a0be39535dfd2017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-03985-2https://doaj.org/toc/2045-2322Abstract The Holstein-Hubbard model with Gaussian phonon anharmonicity is studied in one-dimension at half filling using a variational method based on a series of canonical transformations. A fairly accurate phonon state is chosen to average the transformed Holstein-Hubbard Hamiltonian to obtain an effective Hubbard model which is then solved using the exact Bethe - ansatz following Lieb and Wu to obtain the ground state energy, the average lattice displacement and the renormalized parameters. The Mott-Hubbard criterion, local spin moment and the von Neumann entropy (which is a measure of quantum entanglement) are calculated to determine the ground state phase diagram which shows that the width of the metallic phase flanked by the SDW and CDW phases increases with increasing anharmonicity at low and moderate values of anharmonicity but eventually saturates when the anharmonicity becomes substantially large.Ch. Uma LavanyaI. V. SankarAshok ChatterjeeNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-11 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Ch. Uma Lavanya I. V. Sankar Ashok Chatterjee Metallicity in a Holstein-Hubbard Chain at Half Filling with Gaussian Anharmonicity
description	Abstract The Holstein-Hubbard model with Gaussian phonon anharmonicity is studied in one-dimension at half filling using a variational method based on a series of canonical transformations. A fairly accurate phonon state is chosen to average the transformed Holstein-Hubbard Hamiltonian to obtain an effective Hubbard model which is then solved using the exact Bethe - ansatz following Lieb and Wu to obtain the ground state energy, the average lattice displacement and the renormalized parameters. The Mott-Hubbard criterion, local spin moment and the von Neumann entropy (which is a measure of quantum entanglement) are calculated to determine the ground state phase diagram which shows that the width of the metallic phase flanked by the SDW and CDW phases increases with increasing anharmonicity at low and moderate values of anharmonicity but eventually saturates when the anharmonicity becomes substantially large.
format	article
author	Ch. Uma Lavanya I. V. Sankar Ashok Chatterjee
author_facet	Ch. Uma Lavanya I. V. Sankar Ashok Chatterjee
author_sort	Ch. Uma Lavanya
title	Metallicity in a Holstein-Hubbard Chain at Half Filling with Gaussian Anharmonicity
title_short	Metallicity in a Holstein-Hubbard Chain at Half Filling with Gaussian Anharmonicity
title_full	Metallicity in a Holstein-Hubbard Chain at Half Filling with Gaussian Anharmonicity
title_fullStr	Metallicity in a Holstein-Hubbard Chain at Half Filling with Gaussian Anharmonicity
title_full_unstemmed	Metallicity in a Holstein-Hubbard Chain at Half Filling with Gaussian Anharmonicity
title_sort	metallicity in a holstein-hubbard chain at half filling with gaussian anharmonicity
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/71592300d934439b9147a0be39535dfd
work_keys_str_mv	AT chumalavanya metallicityinaholsteinhubbardchainathalffillingwithgaussiananharmonicity AT ivsankar metallicityinaholsteinhubbardchainathalffillingwithgaussiananharmonicity AT ashokchatterjee metallicityinaholsteinhubbardchainathalffillingwithgaussiananharmonicity
_version_	1718394872596004864

Metallicity in a Holstein-Hubbard Chain at Half Filling with Gaussian Anharmonicity

Ejemplares similares