Impurity Green's function of a one-dimensional Fermi gas

Impurity Green's function of a one-dimensional Fermi gas

We consider a one-dimensional gas of spin-1/2 fermions interacting through δ-function repulsive potential of an arbitrary strength. For the case of all fermions but one having spin up, we calculate time-dependent two-point correlation function of the spin-down fermion. This impurity Green's fun...

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Main Authors: Oleksandr Gamayun, Andrei G. Pronko, Mikhail B. Zvonarev
Format: Article
Language:English
Published: Elsevier 2015-03-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321315000073
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spelling doaj-74f47d6136e04fcba3bb39f4bef59c762020-11-24T22:19:19ZengElsevierNuclear Physics B0550-32132015-03-0189283104Impurity Green's function of a one-dimensional Fermi gasOleksandr Gamayun0Andrei G. Pronko1Mikhail B. Zvonarev2Lancaster University, Physics Department, Lancaster, LA1 4YB, UK; Bogoliubov Institute for Theoretical Physics, Metrolohichna 14-b, Kiev, 03680, UkraineV.A. Steklov Mathematical Institute, Fontanka 27, St. Petersburg, 191023, Russia; Corresponding author.Univ. Paris-Sud, Laboratoire LPTMS, UMR8626, Orsay, F-91405, France; CNRS, Orsay, F-91405, FranceWe consider a one-dimensional gas of spin-1/2 fermions interacting through δ-function repulsive potential of an arbitrary strength. For the case of all fermions but one having spin up, we calculate time-dependent two-point correlation function of the spin-down fermion. This impurity Green's function is represented in the thermodynamic limit as an integral of Fredholm determinants of integrable linear integral operators.http://www.sciencedirect.com/science/article/pii/S0550321315000073
collection DOAJ
language English
format Article
sources DOAJ
author Oleksandr Gamayun
Andrei G. Pronko
Mikhail B. Zvonarev
spellingShingle Oleksandr Gamayun
Andrei G. Pronko
Mikhail B. Zvonarev
Impurity Green's function of a one-dimensional Fermi gas
Nuclear Physics B
author_facet Oleksandr Gamayun
Andrei G. Pronko
Mikhail B. Zvonarev
author_sort Oleksandr Gamayun
title Impurity Green's function of a one-dimensional Fermi gas
title_short Impurity Green's function of a one-dimensional Fermi gas
title_full Impurity Green's function of a one-dimensional Fermi gas
title_fullStr Impurity Green's function of a one-dimensional Fermi gas
title_full_unstemmed Impurity Green's function of a one-dimensional Fermi gas
title_sort impurity green's function of a one-dimensional fermi gas
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2015-03-01
description We consider a one-dimensional gas of spin-1/2 fermions interacting through δ-function repulsive potential of an arbitrary strength. For the case of all fermions but one having spin up, we calculate time-dependent two-point correlation function of the spin-down fermion. This impurity Green's function is represented in the thermodynamic limit as an integral of Fredholm determinants of integrable linear integral operators.
url http://www.sciencedirect.com/science/article/pii/S0550321315000073
work_keys_str_mv AT oleksandrgamayun impuritygreensfunctionofaonedimensionalfermigas
AT andreigpronko impuritygreensfunctionofaonedimensionalfermigas
AT mikhailbzvonarev impuritygreensfunctionofaonedimensionalfermigas
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