Algebraic localization from power-law couplings in disordered quantum wires
Physical Review B, ISSN: 2469-9969, Vol: 100, Issue: 15
2019
- 23Citations
- 15Captures
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Article Description
We analyze the effects of disorder on the correlation functions of one-dimensional quantum models of fermions and spins with long-range interactions that decay with distance as a power law 1/α. Using a combination of analytical and numerical results, we demonstrate that power-law interactions imply a long-distance algebraic decay of correlations within disordered-localized phases, for all exponents α. The exponent of algebraic decay depends only on α, and not, e.g., on the strength of disorder. We find a similar algebraic localization for wave functions. These results are in contrast to expectations from short-range models and are of direct relevance for a variety of quantum mechanical systems in atomic, molecular, and solid-state physics.
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