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Dynamics and transport in random quantum systems governed by strong-randomness fixed points | | Olexei Motrunich
; Kedar Damle
; David A. Huse
; | | Date: |
31 May 2000 | | Journal: | Phys. Rev. B {f 63}, 134424 (2001). | | Subject: | Disordered Systems and Neural Networks; Strongly Correlated Electrons | cond-mat.dis-nn cond-mat.str-el | | Affiliation: | Princeton University | | Abstract: | We present results on the low-frequency dynamical and transport properties of random quantum systems whose low temperature ($T$), low-energy behavior is controlled by strong disorder fixed points. We obtain the momentum and frequency dependent dynamic structure factor in the Random Singlet (RS) phases of both spin-1/2 and spin-1 random antiferromagnetic chains, as well as in the Random Dimer (RD) and Ising Antiferromagnetic (IAF) phases of spin-1/2 random antiferromagnetic chains. We show that the RS phases are unusual `spin metals’ with divergent low-frequency spin conductivity at T=0, and we also follow the conductivity through novel `metal-insulator’ transitions tuned by the strength of dimerization or Ising anisotropy in the spin-1/2 case, and by the strength of disorder in the spin-1 case. We work out the average spin and energy autocorrelations in the one-dimensional random transverse field Ising model in the vicinity of its quantum critical point. All of the above calculations are valid in the frequency dominated regime $omega agt T$, and rely on previously available renormalization group schemes that describe these systems in terms of the properties of certain strong-disorder fixed point theories. In addition, we obtain some information about the behavior of the dynamic structure factor and dynamical conductivity in the opposite `hydrodynamic’ regime $omega < T$ for the special case of spin-1/2 chains close to the planar limit (the quantum x-y model) by analyzing the corresponding quantities in an equivalent model of spinless fermions with weak repulsive interactions and particle-hole symmetric disorder. | | Source: | arXiv, cond-mat/0005543 | | Services: | Forum | Review | PDF | Favorites | |
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