Application of the real space decimation method in determining intricate electronic phases of matter: a review

Mukherjee, A and Bandyopadhyay, A and Jana, D (2023) Application of the real space decimation method in determining intricate electronic phases of matter: a review. In: Physical Chemistry Chemical Physics, 25 (14). 9706- 9737.

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Abstract

The real space decimation method has been successfully applied over the years to understand the critical phenomena as well as the nature of single particle excitations in periodic, quasiperiodic, fractal, and decorated lattices in one dimension and beyond. The power of the method is specially revealed through its application in lattice models, leading to an elegant understanding of the nature of the single-particle states and the corresponding transport properties. In this review, we discuss, using a variety of decorated lattices, how the realm of this method is extended to unravel diverse electronic phases of matter, such as the Dirac systems, or lattices exhibiting flat bands and topological phase transitions. © 2023 The Royal Society of Chemistry.

Item Type:	Journal Article
Publication:	Physical Chemistry Chemical Physics
Publisher:	Royal Society of Chemistry
Additional Information:	The copyright for this article belongs to Royal Society of Chemistry.
Keywords:	Critical phenomenon; Decimation method; Electronic phasis; ITS applications; Lattice models; One dimension; Power; Quasi-periodic; Real-space; Single particle excitations, Fractal dimension
Department/Centre:	Division of Chemical Sciences > Solid State & Structural Chemistry Unit
Date Deposited:	21 Apr 2023 10:46
Last Modified:	21 Apr 2023 10:46
URI:	https://eprints.iisc.ac.in/id/eprint/81379

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