Work

Classical and quantum local criticality due to electron-vibration interaction

Year: 2009
Type: article
Abstract: We study the local classical and quantum critical properties of electron-vibration interaction, represented by the Yu-Anderson model. It exhibits an instability, similar to the Wentzel-Bardeen singularity, whose nature resembles to weakly first-order quantum-phase transitions at low temperatures, and crosses over to Gaussian behavior with increasing temperature. We determine the dominant energy scale separating the quantum from classical criticality, study the effect of dissipation, and analyze its impact on correlation functions. Similar phenomenon should be observable in carbon nanotubes around local defects.
Language: English
Open Access status: green
OpenAlex ID: W2052226353
FWCI:
Cites: 40
Cited by: 1
Related to: 10