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Energylevel Statistics In Strongly Disordered Systems With Powerlaw Hopping
Title:  Energylevel Statistics In Strongly Disordered Systems With Powerlaw Hopping. 
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Name(s): 
Titum, Paraj, author Quito, Victor L., author Syzranov, Sergey, author 

Type of Resource:  text  
Genre: 
Journal Article Text Journal Article 

Date Issued:  20180716  
Physical Form: 
computer online resource 

Extent:  1 online resource  
Language(s):  English  
Abstract/Description:  Motivated by neutral excitations in disordered electronic materials and systems of trapped ultracold particles with longrange interactions, we study energylevel statistics of quasiparticles with the powerlaw hopping Hamiltonian proportional to 1/r(alpha) in a strong random potential. In solidstate systems such quasiparticles, which are exemplified by neutral dipolar excitations, lead to longrange correlations of local observables and may dominate energy transport. Focusing on the excitations in disordered electronic systems, we compute the energylevel correlation function R2(omega) in a finite system in the limit of sufficiently strong disorder. At small energy differences, the correlations exhibit WignerDyson statistics. In particular, in the limit of very strong disorder the energylevel correlation function is given by R2(omega, V) = A(3) omega/omega(V) for small frequencies omega << omega(V) and R2(omega, V) = 1  (alpha  d)A(1) (omega(V)/omega)(d/alpha)  A(2) (omega(V)/omega)(2) for large frequencies omega << omega(V), where omega(V) proportional to Valpha/d is the characteristic matrix element of excitation hopping in a system of volume V, and A(1), A(2), and A(3) are coefficients of order unity which depend on the shape of the system. The energylevel correlation function, which we study, allows for a direct experimental observation, for example, by measuring the correlations of the ac conductance of the system at different frequencies.  
Identifier:  FSU_libsubv1_wos_000438672400001 (IID), 10.1103/PhysRevB.98.014201 (DOI)  
Keywords:  propagation, anderson transition, dipole interaction, quantum simulator, range interactions, spins, vibrationalmodes  
Publication Note:  The publisher’s version of record is available at https://doi.org/10.1103/PhysRevB.98.014201  
Persistent Link to This Record:  http://purl.flvc.org/fsu/fd/FSU_libsubv1_wos_000438672400001  
Owner Institution:  FSU  
Is Part Of: 
Physical Review B. 24699950 

Issue:  iss. 1, vol. 98 
Titum, P., Quito, V. L., & Syzranov, S. (2018). Energylevel Statistics In Strongly Disordered Systems With Powerlaw Hopping. Physical Review B. Retrieved from http://purl.flvc.org/fsu/fd/FSU_libsubv1_wos_000438672400001