Back to Search
Start Over
1/fα noise and generalized diffusion in random Heisenberg spin systems.
- Source :
-
Physical Review B: Condensed Matter & Materials Physics . Nov2015, Vol. 92 Issue 18, p1-19. 19p. - Publication Year :
- 2015
-
Abstract
- We study the "flux-noise" spectrum of random-bond quantum Heisenberg spin systems using a real-space renormalization group (RSRG) procedure that accounts for both the renormalization of the system Hamiltonian and of a generic probe that measures the noise. For spin chains, we find that the dynamical structure factor Sq(f), at finite wave vector q, exhibits a power-law behavior both at high and low frequencies f, with exponents that are connected to one another and to an anomalous dynamical exponent through relations that differ at T=0 and T=∞. The low-frequency power-law behavior of the structure factor is inherited by any generic probe with a finite bandwidth and is of the form 1/fα with 0.5<α<1. An analytical calculation of the structure factor, assuming a limiting distribution of the RG flow parameters (spin size, length, bond strength) confirms numerical findings. More generally, we demonstrate that this form of the structure factor, at high temperatures, is a manifestation of anomalous diffusion which directly follows from a generalized spin-diffusion propagator. We also argue that 1/f-noise is intimately connected to many-body-localization at finite temperatures. In two dimensions, the RG procedure is less reliable; however, it becomes convergent for quasi-one-dimensional geometries where we find that one-dimensional 1/fα behavior is recovered at low frequencies; the latter configurations are likely representative of paramagnetic spin networks that produce 1/fα noise in SQUIDs. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10980121
- Volume :
- 92
- Issue :
- 18
- Database :
- Academic Search Index
- Journal :
- Physical Review B: Condensed Matter & Materials Physics
- Publication Type :
- Academic Journal
- Accession number :
- 112160404
- Full Text :
- https://doi.org/10.1103/PhysRevB.92.184203