Many-body localization of ${\mathbb Z}_3$ Fock parafermions
| Autor: | Bahovadinov, Murod S., Buijsman, Wouter, Fedorov, Aleksey K., Gritsev, Vladimir, Kurlov, Denis V. |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Phys. Rev. B 106, 224205 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevB.106.224205 |
| Popis: | We study the effects of a random magnetic field on a one-dimensional (1D) spin-1 chain with {\it correlated} nearest-neighbor $XY$ interaction. We show that this spin model can be exactly mapped onto the 1D disordered tight-binding model of ${\mathbb Z}_3$ Fock parafermions (FPFs), exotic anyonic quasiparticles that generalize usual spinless fermions. Thus, we have a peculiar case of a disordered Hamiltonian that, despite being bilinear in the creation and annihilation operators, exhibits a many-body localization (MBL) transition owing to the nontrivial statistics of FPFs. This is in sharp contrast to conventional bosonic and fermionic quadratic disordered Hamiltonians that show single-particle (Anderson) localization. We perform finite-size exact diagonalization calculations of level-spacing statistics, fractal dimensions, and entanglement entropy, and provide convincing evidence for the MBL transition at finite disorder strength. Comment: 9 pages, 4 figures |
| Databáze: | arXiv |
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