| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Tunable caging of excitation in decorated Lieb-ladder geometry with long-range connectivity |
| Atanu Nandy† |
| Department of Physics, Acharya Prafulla Chandra College, New Barrackpore, Kolkata West Bengal-700 131, India |
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Abstract Controlled Aharonov-Bohm caging of wave train is reported in a quasi-one-dimensional version of Lieb geometry with next-nearest-neighbor hopping integral within the tight-binding framework. This longer-wavelength fluctuation is considered by incorporating periodic, quasi-periodic or fractal kind of geometry inside the skeleton of the original network. This invites exotic eigenspectrum displaying a distribution of flat band states. Also a subtle modulation of external magnetic flux leads to a comprehensive control over those non-resonant modes. Real space renormalization group method provides us an exact analytical prescription for the study of such tunable imprisonment of excitation. The non-trivial tunability of external agent is important as well as challenging in the context of experimental perspective.
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Received: 26 March 2023
Revised: 06 August 2023
Accepted manuscript online: 01 September 2023
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PACS:
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72.10.-d
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(Theory of electronic transport; scattering mechanisms)
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72.15.Rn
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(Localization effects (Anderson or weak localization))
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73.20.At
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(Surface states, band structure, electron density of states)
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| Fund: The author is thankful for the stimulating discussions regarding the results with Dr. Amrita Mukherjee. |
Corresponding Authors:
Atanu Nandy
E-mail: atanunandy1989@gmail.com
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Cite this article:
Atanu Nandy Tunable caging of excitation in decorated Lieb-ladder geometry with long-range connectivity 2023 Chin. Phys. B 32 127201
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