Disorder-driven transition in a chain with power-law hopping
| Autor: | Garttner, M., Syzranov, S. V., Rey, A. M., Gurarie, V., Radzihovsky, L. |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Phys. Rev. B 92, 041406(R) (2015) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevB.92.041406 |
| Popis: | We study a 1D system with a power-law quasiparticle dispersion $\propto |k|^\alpha\sign k$ in the presence of a short-range-correlated random potential and demonstrate that for $\alpha<1/2$ it exhibits a disorder-driven quantum phase transition with the critical properties similar to those of the localisation transition near the edge of the band of a semiconductor in high dimensions, studied in Refs. 1 and 2. Despite the absence of localisation in the considered 1D system, the disorder-driven transition manifests itself, for example, in a critical form of the disorder-averaged density of states. We confirm the existence of the transition by numerical simulations and find the critical exponents and the critical disorder strength as a function of $\alpha$. The proposed system thus presents a convenient platform for numerical studies of the recently predicted unconventional high-dimensional localisation effects and has the potential for experimental realisations in chains of ultracold atoms in optical traps. Comment: 4+ pages, 2 figures |
| Databáze: | arXiv |
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