Local Classical and Quantum Criticality due to Electron-Vibration Interaction

Details Local Classical and Quantum Criticality due to Electron-Vibration Interaction Local Classical and Quantum Criticality due to Electron-Vibration Interaction

2009-04-09

arxiv.org/abs/0904.1486v1

Phys. Rev. B 79, 165121 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 1 figure, 1 table

Scientific paper

10.1103/PhysRevB.79.165121

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 behaviour 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.

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