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JIMÉNEZ ISÁBAL ALBERT-R.pdf (1.69 MB)

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Bachelor thesis

Publication date

2025-06

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cc-by-nc-nd (c) Jiménez, 2025
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/223058

Fractional charge and statistics in few-body lattice quantum Hall states

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Abstract

The Laughlin fractional quantum Hall effect (FQHE) is one of the paradigmatic strongly-correlated systems that has captivated physicists for decades. Arguably, its most defining property is the emergence of collective excitations with fractional charge and statistics. In this project, we report the observation of these signatures in one of the most well-studied fractional Chern insulators (lattice analogs to the FQH): the Hofstadter model. Moreover, we discuss whether variational neural networks can be valid ansätze of the FQH ground state.

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2025, Tutors: Blazej Jaworowski, Darrick Chang, Bruno Juliá-Díaz

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Matèria condensada, Efecte Hall quàntic, Treballs de fi de grau

Subject (English)

Condensed matter, Quantum Hall effect, Bachelor's theses

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Treballs Finals de Grau (TFG) - Física

Citation

JIMÉNEZ ISÁBAL, Albert. Fractional charge and statistics in few-body lattice quantum Hall states. [consulted: 16 of August of 2026]. Available at: https://hdl.handle.net/2445/223058

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