Magnetization of Mesoscopic Disordered Networks
arXiv:cond-mat/9605015 · doi:10.1209/epl/i1997-00155-0
Abstract
We study the magnetic response of mesoscopic metallic isolated networks. We calculate the average and typical magnetizations in the diffusive regime for non-interacting electrons or in the first order Hartree-Fock approximation. These quantities are related to the return probability for a diffusive particle on the corresponding network. By solution of the diffusion equation on various types of networks, including a ring with arms or an infinite square network, we deduce the corresponding magnetizations. In the case of an infinite network, the Hartree-Fock average magnetization stays finite in the thermodynamic limit.
4 pages, latex, 2 figures
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Cited by in corpus (8)
- Observation of Persistent Currents in Mesoscopic Connected Rings
- Persistent currents on graphs
- Suppression of level hybridization due to Coulomb interactions
- Possibility of long-range order in clean mesoscopic cylinders
- Development of effective stochastic potential method using random matrix theory for efficient conformational sampling of semiconductor nanoparticles at non-zero temperatures
- Effect of Charge Fluctuations on the Persistent Current through a Quantum Dot
- Large diamagnetic persistent currents
- Thermodynamics and Transport in Mesoscopic Disordered Networks