期刊
PHYSICAL REVIEW B
卷 100, 期 15, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.100.155136
关键词
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资金
- Institut Universitaire de France (IUF)
- University of Strasbourg Institute for Advanced Studies (USIAS)
- project QUANTUM by Istituto Nazionale di Fisica Nucleare (INFN)
- project ALMAIDEA by University of Bologna
- ANR ERA-NET QuantERA-Projet RouTe
- UdS via Labex NIE
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 l as a power law 1/l(alpha). Using a combination of analytical and numerical results, we demonstrate that power-law interactions imply a longdistance algebraic decay of correlations within disordered-localized phases, for all exponents alpha. The exponent of algebraic decay depends only on alpha, 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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