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- W4311547777 abstract "We study the effects of a random magnetic field on a one-dimensional (1D) spin-1 chain with 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." @default.
- W4311547777 created "2022-12-27" @default.
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- W4311547777 date "2022-12-15" @default.
- W4311547777 modified "2023-09-27" @default.
- W4311547777 title "Many-body localization of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msub><mml:mi mathvariant=double-struck>Z</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math> Fock parafermions" @default.
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- W4311547777 doi "https://doi.org/10.1103/physrevb.106.224205" @default.
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