Exactly Solvable Models of Interacting Chiral Bosons and Fermions on a Lattice

Manuel Valiente

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arXiv · 2501.16140

Exactly Solvable Models of Interacting Chiral Bosons and Fermions on a Lattice

Manuel Valiente

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Abstract

We consider one-dimensional theories of chiral fermions and bosons on a lattice, which arise as edge states of two-dimensional topological matter breaking time-reversal invariance. We show that hard core bosons or their spin chain equivalent exhibit properties that are similar to free fermions, solving the many-body problem exactly. For fermions, we study the effect of a static impurity exactly and show the orthogonality catastrophe in the continuum limit via bosonization. The interacting many-fermion problem in the continuum limit is solved exactly using simple momentum conservation arguments.

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Manuel Valiente. 2025-01-27. Exactly Solvable Models of Interacting Chiral Bosons and Fermions on a Lattice. https://arxiv.org/abs/2501.16140

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