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Universal quantum criticality at the Mott-Anderson transition
M C O Aguiar1, V Dobrosavljević
1Departamento de Física, Universidade Federal de Minas Gerais, Avenida Antônio Carlos 6627, Belo Horizonte, Minas Gerais 31270-901, Brazil.
Physical Review Letters
|February 26, 2013
Summary
We solved a model of the Mott-Anderson transition, finding that spatial fluctuations from Anderson localization significantly alter quantum critical behavior. This leads to a universal quasiparticle wave function form across disorder levels.
Area of Science:
- Condensed Matter Physics
- Quantum Critical Phenomena
- Disordered Systems
Background:
- The Mott-Anderson transition is crucial for understanding electron behavior in disordered correlated materials.
- Anderson localization describes the suppression of electron wave function propagation in disordered systems.
- Disorder effects on quantum critical points remain a significant theoretical challenge.
Purpose of the Study:
- To investigate the Mott-Anderson transition on a finite-coordination Bethe lattice using a large N solution.
- To analyze the impact of Anderson localization on quantum critical behavior near disordered Mott transitions.
- To determine the universality of quasiparticle wave function behavior across varying disorder strengths.
Main Methods:
- A large N solution approach was employed for a microscopic model.
- The study focused on a finite-coordination Bethe lattice.
- Analysis of quantum critical behavior and quasiparticle wave functions under disorder was performed.
Main Results:
- Strong spatial fluctuations from Anderson localization dramatically modify quantum critical behavior.
- A universal form for the leading critical behavior of quasiparticle wave functions was identified.
- Disorder-driven non-Fermi liquid behavior was found to be restricted to the strongly correlated regime.
Conclusions:
- Anderson localization plays a critical role in shaping quantum criticality in disordered Mott systems.
- The universality of quasiparticle wave functions suggests a robust theoretical framework.
- The findings distinguish between general disorder effects and strongly correlated phenomena.
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