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2022•Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)Open access

Bosonization of Majorana modes in arbitrary geometries

Arkadiusz Bochniak, Błażej Ruba

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Abstract

We briefly summarize the main results from [25] which extend the ones from [17,18]. The bosonization method based on the properties of Clifford algebras is presented, together with the illustrating examples: system of Majorana fermions on honeycomb lattice and its relation to Kitaev's model, and the Hubbard model on rectangular lattices. The role of bundaries together with the presence of Majorana edge modes are discussed.

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We briefly summarize the main results from [25] which extend the ones from [17,18]. The bosonization method based on the properties of Clifford algebras is presented, together with the illustrating examples: system of Majorana fermions on honeycomb lattice and its relation to Kitaev's model, and the Hubbard model on rectangular lattices. The role of bundaries together with the presence of Majorana edge modes are discussed.

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Available abstract

We briefly summarize the main results from [25] which extend the ones from [17,18]. The bosonization method based on the properties of Clifford algebras is presented, together with the illustrating examples: system of Majorana fermions on honeycomb lattice and its relation to Kitaev's model, and the Hubbard model on rectangular lattices. The role of bundaries together with the presence of Majorana edge modes are discussed.

Key concepts: MAJORANA, Bosonization, Fermion, Lattice (music), Physics, Majorana equation, Hubbard model, Theoretical physics

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