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Renormalization group study of systems with quadratic band touching

Shah, J and Mukerjee, S (2021) Renormalization group study of systems with quadratic band touching. In: Physical Review B, 103 (19).

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Official URL: https://doi.org/10.1103/PhysRevB.103.195118


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.

Item Type: Journal Article
Publication: Physical Review B
Publisher: American Physical Society
Additional Information: The copyright for this article belongs to Authors
Keywords: Ground state, Attractive interactions; Excitonic condensate; Microscopic modeling; Renormalization group; Repulsive interactions; Touching points; Transition point; Two-dimensional systems, Statistical mechanics
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 17 Aug 2021 09:30
Last Modified: 17 Aug 2021 09:30
URI: http://eprints.iisc.ac.in/id/eprint/69171

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