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pro vyhledávání: '"Biswas, Sougata"'
Autor:
Biswas, Sougata
The possibility of topological phase transition with or without a magnetic flux trapped in the cells of a class of decorated lattices is explored in details.Using a tight binding Hamiltonian and a real space decimation scheme we analytically obtain t
Externí odkaz:
http://arxiv.org/abs/2410.24146
Autor:
Biswas, Sougata
Publikováno v:
Physica B: Condensed Matter (2024): 416705
In this paper we demonstrate, using a couple of variants of a two-strand ladder network that, a quasiperiodic Aubry-Andr\'e-Harper (AAH) modulation applied to the vertical strands, mimicking a deterministic distortion in the network, can give rise to
Externí odkaz:
http://arxiv.org/abs/2407.17871
Autor:
Biswas, Sougata, Chakrabarti, Arunava
Publikováno v:
Physica B 685 (2024) 416025
We analyze the topological properties of a family of generalized Su-Schrieffer-Heeger (SSH) chains and mesh geometries. In both the geometries the usual staggering in the distribution of the two overlap integrals is delayed (in space) by the inclusio
Externí odkaz:
http://arxiv.org/abs/2403.06556
Autor:
Biswas, Sougata, Chakrabarti, Arunava
Publikováno v:
Physica E 162 (2024) 116010
We study quantum dynamics of a wave packet on a class of one dimensional decorated aperiodic lattices, described within a tight binding formalism. We look for the possibility of finding extended single particle states even in the absence of any trans
Externí odkaz:
http://arxiv.org/abs/2312.11977
Complete escape from localization on a hierarchical lattice: A Koch fractal with all states extended
Autor:
Biswas, Sougata, Chakrabarti, Arunava
Publikováno v:
Physical Review B 108, 125430 (2023)
An infinitely large Koch fractal is shown to be capable of sustaining only extended, Bloch-like eigenstates, if certain parameters of the Hamiltonian describing the lattice are numerically correlated in a special way, and a magnetic flux of a special
Externí odkaz:
http://arxiv.org/abs/2307.13393
Publikováno v:
International Journal of Modern Physics B, 2550097 , 2024
Flat, non-dispersive bands and topological phase transition in multiple Su-Schrieffer-Heeger (SSH) chains, cross-linked via periodically arranged nodal points are explored within a tight binding framework. We give analytic prescription, based on a re
Externí odkaz:
http://arxiv.org/abs/2304.00904
Autor:
Biswas, Sougata, Chakrabarti, Arunava
Compact localized single particle eigenstates on a deterministic fractal substrate, modelled by a triangular Sierpinski gasket of arbitrarily large size, are unravelled and examined analytically. We prescribe an exact real space renormalization group
Externí odkaz:
http://arxiv.org/abs/2302.04554
We address the problem of analytically extracting a countable infinity of flat, non-dispersive bands in a periodic array of cells that comprise branching Vicsek geometries of higher and higher generations. Through a geometric construction, followed b
Externí odkaz:
http://arxiv.org/abs/2209.05117
Autor:
Biswas, Sougata, Chakrabarti, Arunava
Publikováno v:
In Physica E: Low-dimensional Systems and Nanostructures August 2024 162
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