Scaling up the Anderson transition in random-regular graphs
We study the Anderson transition in lattices with the connectivity of a random-regular graph. Our results show that fractal dimensions are continuous across the transition, but a discontinuity occurs in their derivatives, implying the existence of a nonergodic metallic phase with multifractal eigens...
| Published in: | Physical Review Research |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-11-01
|
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.042031 |
| _version_ | 1850078967662379008 |
|---|---|
| author | M. Pino |
| author_facet | M. Pino |
| author_sort | M. Pino |
| collection | DOAJ |
| container_title | Physical Review Research |
| description | We study the Anderson transition in lattices with the connectivity of a random-regular graph. Our results show that fractal dimensions are continuous across the transition, but a discontinuity occurs in their derivatives, implying the existence of a nonergodic metallic phase with multifractal eigenstates. The scaling analysis gives critical exponent ν=0.94±0.08 and critical disorder W_{c}=18.17±0.02. Our data support that ergodicity is only recovered at zero disorder. |
| format | Article |
| id | doaj-art-2f376baa01d041b799674fddefa4e91a |
| institution | Directory of Open Access Journals |
| issn | 2643-1564 |
| language | English |
| publishDate | 2020-11-01 |
| publisher | American Physical Society |
| record_format | Article |
| spelling | doaj-art-2f376baa01d041b799674fddefa4e91a2025-08-20T00:14:07ZengAmerican Physical SocietyPhysical Review Research2643-15642020-11-012404203110.1103/PhysRevResearch.2.042031Scaling up the Anderson transition in random-regular graphsM. PinoWe study the Anderson transition in lattices with the connectivity of a random-regular graph. Our results show that fractal dimensions are continuous across the transition, but a discontinuity occurs in their derivatives, implying the existence of a nonergodic metallic phase with multifractal eigenstates. The scaling analysis gives critical exponent ν=0.94±0.08 and critical disorder W_{c}=18.17±0.02. Our data support that ergodicity is only recovered at zero disorder.http://doi.org/10.1103/PhysRevResearch.2.042031 |
| spellingShingle | M. Pino Scaling up the Anderson transition in random-regular graphs |
| title | Scaling up the Anderson transition in random-regular graphs |
| title_full | Scaling up the Anderson transition in random-regular graphs |
| title_fullStr | Scaling up the Anderson transition in random-regular graphs |
| title_full_unstemmed | Scaling up the Anderson transition in random-regular graphs |
| title_short | Scaling up the Anderson transition in random-regular graphs |
| title_sort | scaling up the anderson transition in random regular graphs |
| url | http://doi.org/10.1103/PhysRevResearch.2.042031 |
| work_keys_str_mv | AT mpino scalinguptheandersontransitioninrandomregulargraphs |