Time and Temperature Dependent Correlation Functions of the One-Dimensional Impenetrable Electron Gas

Autor:	Vladimir E. Korepin, F. Göhmann, A. G. Pronko, A. G. Izergin
Rok vydání:	1998
Předmět:	Physics Differential equation Mathematical analysis Statistical and Nonlinear Physics Condensed Matter Physics 01 natural sciences Power law 010305 fluids & plasmas Gas phase Magnetic field Correlation 0103 physical sciences Exponential decay 010306 general physics Fermi gas Large distance
Zdroj:	International Journal of Modern Physics B. 12:2409-2433
ISSN:	1793-6578 0217-9792
DOI:	10.1142/s0217979298001411
Popis:	We consider the one-dimensional delta-interacting electron gas in the case of infinite repulsion. We use determinant representations to study the long time, large distance asymptotics of correlation functions of local fields in the gas phase. We derive differential equations which drive the correlation functions. Using a related Riemann–Hilbert problem we obtain formulae for the asymptotics of the correlation functions, which are valid at all finite temperatures. At low temperatures these formulae lead to explicit asymptotic expressions for the correlation functions, which describe power law behavior and exponential decay as functions of temperature, magnetic field and chemical potential.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3203fe36cd62e1f529733722f154e16e https://doi.org/10.1142/s0217979298001411 Zobrazit plný text záznamu