Renormalization group study of systems with quadratic band touching Article Swipe
Related Concepts
Quadratic equation
Renormalization group
Physics
Instability
Renormalization
Ground state
Condensed matter physics
Group (periodic table)
Statistical physics
Quantum mechanics
Mathematics
Geometry
Jeet Shah
,
Subroto Mukerjee
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1103/physrevb.103.195118
· OA: W3097942302
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1103/physrevb.103.195118
· OA: W3097942302
The perturbative effects of interactions in two two-dimensional systems with a single quadratic band touching point have been studied at a transition point. The effects of interactions have been studied using the renormalization group (RG) at one-loop level and it is found that at the transition a repulsive interaction is marginally relevant and an attractive interaction is marginally irrelevant. We corroborate the results obtained from the RG calculation by studying a microscopic model the ground state and Green's functions of which can be obtained exactly. We find that away from the transition the system displays an instability towards forming an excitonic condensate. © 2021 American Physical Society.
Related Topics
Finding more related topics…