Abstract
Quantum dots with a large Thouless number g embody a regime where both disorder and interactions can be treated nonperturbatively using large-N techniques (with N=g) and quantum phase transitions can be studied. Here we focus on dots where the noninteracting Hamiltonian is drawn from a crossover ensemble between two symmetry classes, where the crossover parameter introduces a tunable energy scale independent of and much smaller than the Thouless energy. We show that the quantum critical regime, dominated by collective critical fluctuations, can be accessed at this energy scale. The nonperturbative physics of this regime can only be described by the large-N approach, as we illustrate with two experimentally relevant examples.
| Original language | English |
|---|---|
| Article number | 153304 |
| Pages (from-to) | 153304-1-153304-4 |
| Journal | Physical Review B - Condensed Matter and Materials Physics |
| Volume | 70 |
| Issue number | 15 |
| DOIs | |
| State | Published - Oct 2004 |
Bibliographical note
Funding Information:It is a pleasure to thank R. Shankar and Y. Alhassid for illuminating conversations, and the NSF for partial support under Contract No. DMR-0311761.
Funding
It is a pleasure to thank R. Shankar and Y. Alhassid for illuminating conversations, and the NSF for partial support under Contract No. DMR-0311761.
| Funders | Funder number |
|---|---|
| U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China | DMR-0311761 |
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics