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Updated: Oct 23, 2025

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Published on: September 8, 2023
Possible route to efficient thermoelectric applications in a driven fractal network
Kallol Mondal1, Sudin Ganguly2, Santanu K Maiti2
1Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata, 700108, India. kallolsankarmondal@gmail.com.
Researchers introduce mobility edges in Sierpinski gasket fractals using time-periodic fields, enabling control over electron and phonon transport for enhanced thermoelectric applications.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Quantum Mechanics
Background:
- Fractal structures like the Sierpinski gasket (SPG) exhibit self-similarity.
- SPG lattices are known to host localized energy eigenstates.
- Controlling electron localization and delocalization is crucial for material properties.
Purpose of the Study:
- To investigate the generation of mixed extended and localized energy eigenstates in SPG lattices.
- To explore the creation of mobility edges at multiple energies.
- To analyze the thermoelectric properties of such engineered systems.
Main Methods:
- Application of a time-periodic driving field (arbitrarily polarized light).
- Incorporation of the driving field effect using the Floquet-Bloch ansatz.
- Analysis of transport phenomena via Green's function formalism and Landauer-Büttiker prescription.
Main Results:
- Demonstration of coexisting extended and localized energy eigenstates.
- Observation of mobility edges at multiple energy levels.
- Significant enhancement in thermoelectric properties, including electrical and thermal conductance, and thermopower.
Conclusions:
- The proposed method effectively generates mobility edges in fractal lattices.
- Engineered SPG structures show promising thermoelectric performance.
- This approach offers a new pathway for designing advanced thermoelectric materials.
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