%0 Journal Article %1 Cao2010Quantum %A Cao, L. %A Schwarz, J. M. %D 2010 %J Physical Review B %K bethe\_lattice, quantum-model k-core %N 10 %R 10.1103/PhysRevB.82.104211 %T Quantum k-core conduction on the Bethe lattice %U http://dx.doi.org/10.1103/PhysRevB.82.104211 %V 82 %X Classical and quantum conduction on a bond-diluted Bethe lattice is considered. The bond dilution is subject to the constraint that every occupied bond must have at least \$k-1\$ neighboring occupied bonds, i.e. \$k\$-core diluted. In the classical case, we find the onset of conduction for \$k=2\$ is continuous, while for \$k=3\$, the onset of conduction is discontinuous with the geometric random first-order phase transition driving the conduction transition. In the quantum case, treating each occupied bond as a random scatterer, we find for \$k=3\$ that the random first-order phase transition in the geometry also drives the onset of quantum conduction giving rise to a new universality class of Anderson localization transitions.

@article{Cao2010Quantum, abstract = {{Classical and quantum conduction on a bond-diluted Bethe lattice is considered. The bond dilution is subject to the constraint that every occupied bond must have at least \$k-1\$ neighboring occupied bonds, i.e. \$k\$-core diluted. In the classical case, we find the onset of conduction for \$k=2\$ is continuous, while for \$k=3\$, the onset of conduction is discontinuous with the geometric random first-order phase transition driving the conduction transition. In the quantum case, treating each occupied bond as a random scatterer, we find for \$k=3\$ that the random first-order phase transition in the geometry also drives the onset of quantum conduction giving rise to a new universality class of Anderson localization transitions.}}, added-at = {2019-06-10T14:53:09.000+0200}, archiveprefix = {arXiv}, author = {Cao, L. and Schwarz, J. M.}, biburl = {https://www.bibsonomy.org/bibtex/26fb38266de9d4e283a4a3eaf09c10cdf/nonancourt}, citeulike-article-id = {9111606}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevB.82.104211}, citeulike-linkout-1 = {http://arxiv.org/abs/1005.4673}, citeulike-linkout-2 = {http://arxiv.org/pdf/1005.4673}, day = 25, doi = {10.1103/PhysRevB.82.104211}, eprint = {1005.4673}, interhash = {07e8f7d4aef5a1b6da6bf155d0429949}, intrahash = {6fb38266de9d4e283a4a3eaf09c10cdf}, issn = {1550-235X}, journal = {Physical Review B}, keywords = {bethe\_lattice, quantum-model k-core}, month = sep, number = 10, posted-at = {2011-04-07 09:45:00}, priority = {2}, timestamp = {2019-08-01T16:09:09.000+0200}, title = {{Quantum k-core conduction on the Bethe lattice}}, url = {http://dx.doi.org/10.1103/PhysRevB.82.104211}, volume = 82, year = 2010 }