scholarly journals Renormalization group analysis of a neck-narrowing Lifshitz transition in the presence of weak short-range interactions in two dimensions

2015 ◽  
Vol 92 (8) ◽  
Author(s):  
Sedigh Ghamari ◽  
Sung-Sik Lee ◽  
Catherine Kallin
Keyword(s):  
Renormalization Group ◽  
Short Range ◽  
Group Analysis ◽  
Two Dimensions ◽  
Renormalization Group Analysis ◽  
Lifshitz Transition ◽  
Neck Narrowing

scholarly journals RENORMALIZATION GROUP ANALYSIS OF QUANTUM CRITICAL POINTS IN d-WAVE SUPERCONDUCTORS

2000 ◽  
Vol 14 (29n31) ◽  
pp. 3719-3734 ◽  
Author(s):  
MATTHIAS VOJTA ◽  
YING ZHANG ◽  
SUBIR SACHDEV
Keyword(s):  
Renormalization Group ◽  
Fixed Points ◽  
Group Analysis ◽  
Scaling Limit ◽  
Two Dimensions ◽  
Quantum Theories ◽  
Renormalization Group Analysis ◽  
Quantum Critical Points ◽  
Quasiparticle Lifetime ◽  
Quantum Critical

We describe a search for renormalization group fixed points which control a second-order quantum phase transition between a dx2-y2-superconductor and some other superconducting ground state. Only a few candidate fixed points are found. In the finite temperature (T) quantum-critical region of some of these fixed points, the fermion quasiparticle lifetime is very short and the spectral function has an energy width of order kBT near the Fermi points. Under the same conditions, the thermal conductivity is infinite in the scaling limit. We thus provide simple, explicit, examples of quantum theories in two dimensions for which a purely fermionic quasiparticle description of transport is badly violated.

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