6533b7d3fe1ef96bd1260152
RESEARCH PRODUCT
Relation between Energy Level Statistics and Phase Transition and its Application to the Anderson Model
E. HofstetterMichael Schreibersubject
PhysicsPhase transitionGeneral methodCondensed Matter (cond-mat)FOS: Physical sciencesCondensed MatterDistribution (mathematics)Quantum critical pointStatisticsCondensed Matter::Strongly Correlated ElectronsCritical exponentAnderson impurity modelScalingEnergy (signal processing)description
A general method to describe a second-order phase transition is discussed. It starts from the energy level statistics and uses of finite-size scaling. It is applied to the metal-insulator transition (MIT) in the Anderson model of localization, evaluating the cumulative level-spacing distribution as well as the Dyson-Metha statistics. The critical disorder $W_{c}=16.5$ and the critical exponent $\nu=1.34$ are computed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-02-22 |