TY - JOUR

T1 - Exotic electron states and tunable magneto-transport in a fractal Aharonov-Bohm interferometer

AU - Nandy, Atanu

AU - Pal, Biplab

AU - Chakrabarti, Arunava

N1 - Funding Information:
A.N. acknowledges a research fellowship from UGC , India, Grant No. 2121251089 , and B.P. is thankful to DST , India, for an INSPIRE fellowship through Grant No. IF 110078 . This work is partially supported by DST-PURSE program of University of Kalyani .
Publisher Copyright:
© 2014 Elsevier B.V.

PY - 2014/8/28

Y1 - 2014/8/28

N2 - A Sierpinski gasket fractal network model is studied in respect of its electronic spectrum and magneto-transport when each 'arm' of the gasket is replaced by a diamond shaped Aharonov-Bohm interferometer, threaded by a uniform magnetic flux. Within the framework of a tight binding model for non-interacting, spinless electrons and a real space renormalization group method we unravel a class of extended and localized electronic states. In particular, we demonstrate the existence of extreme localization of electronic states at a special finite set of energy eigenvalues, and an infinite set of energy eigenvalues where the localization gets 'delayed' in space (staggered localization). These eigenstates exhibit a multitude of localization areas. The two terminal transmission coefficient and its dependence on the magnetic flux threading each basic Aharonov-Bohm interferometer is studied in details. Sharp switch on-switch off effects that can be tuned by controlling the flux from outside, are discussed. Our results are analytically exact.

AB - A Sierpinski gasket fractal network model is studied in respect of its electronic spectrum and magneto-transport when each 'arm' of the gasket is replaced by a diamond shaped Aharonov-Bohm interferometer, threaded by a uniform magnetic flux. Within the framework of a tight binding model for non-interacting, spinless electrons and a real space renormalization group method we unravel a class of extended and localized electronic states. In particular, we demonstrate the existence of extreme localization of electronic states at a special finite set of energy eigenvalues, and an infinite set of energy eigenvalues where the localization gets 'delayed' in space (staggered localization). These eigenstates exhibit a multitude of localization areas. The two terminal transmission coefficient and its dependence on the magnetic flux threading each basic Aharonov-Bohm interferometer is studied in details. Sharp switch on-switch off effects that can be tuned by controlling the flux from outside, are discussed. Our results are analytically exact.

KW - Aharonov-Bohm interferometer

KW - Magneto-transport

KW - Staggered localization

UR - http://www.scopus.com/inward/record.url?scp=84907284172&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2014.09.012

DO - 10.1016/j.physleta.2014.09.012

M3 - Article

AN - SCOPUS:84907284172

SN - 0375-9601

VL - 378

SP - 3144

EP - 3150

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 42

ER -