Helical Luttinger liquid on a space-time lattice
| Autor: | Zakharov, V. A., Tworzydlo, J., Beenakker, C. W. J., Pacholski, M. J. |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Phys.Rev.Lett. 133, 116501 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.133.116501 |
| Popis: | The Luttinger model is a paradigm for the breakdown due to interactions of the Fermi liquid description of one-dimensional massless Dirac fermions. Attempts to discretize the model on a one-dimensional lattice have failed to reproduce the established bosonization results, because of the fermion-doubling obstruction: A local and symmetry-preserving discretization of the Hamiltonian introduces a spurious second species of low-energy excitations, while a nonlocal discretization opens a single-particle gap at the Dirac point. Here we show how to work around this obstruction, by discretizing both space and time to obtain a \textit{local} Lagrangian for a helical Luttinger liquid with Hubbard interaction. The approach enables quantum Monte Carlo simulations that preserve the topological protection of an unpaired Dirac cone. Comment: 13 pages, 6 figures |
| Databáze: | arXiv |
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