Universal correlations of one-dimensional interacting electrons in the gas phase

✍ Scribed by F. Göhmann; V.E. Korepin

• Book ID: 104337755
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 68 KB
• Volume: 260
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00587-3

✦ Synopsis

We consider dynamical correlation functions of short range interacting electrons in one dimension at finite temperature. Below a critical value of the chemical potential there is no Fermi surface anymore, and the system can no longer be described as a Luttinger liquid. Its low temperature thermodynamics is that of an ideal gas. We identify the impenetrable electron gas model as a universal model for the gas phase and present exact and explicit expressions for the asymptotics of correlation functions at small temperatures, in the presence of a magnetic field.