Infinitely robust order and local order-parameter tulips in Apollonian networks with quenched disorder
For a variety of quenched random spin systems on an Apollonian network, including ferromagnetic and antiferromagnetic bond percolation and the Ising spin glass, we find the persistence of ordered phases up to infinite temperature over the entire range of disorder. We develop a renormalization-group...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
American Physical Society
2010
|
| Online Access: | http://hdl.handle.net/1721.1/51768 https://orcid.org/0000-0002-5172-2172 |
| _version_ | 1826215568650272768 |
|---|---|
| author | Kaplan, C. Nadir Hinczewski, Michael Berker, A. Nihat |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Kaplan, C. Nadir Hinczewski, Michael Berker, A. Nihat |
| author_sort | Kaplan, C. Nadir |
| collection | MIT |
| description | For a variety of quenched random spin systems on an Apollonian network, including ferromagnetic and antiferromagnetic bond percolation and the Ising spin glass, we find the persistence of ordered phases up to infinite temperature over the entire range of disorder. We develop a renormalization-group technique that yields highly detailed information, including the exact distributions of local magnetizations and local spin-glass order parameters, which turn out to exhibit, as function of temperature, complex and distinctive tulip patterns. |
| first_indexed | 2024-09-23T16:35:34Z |
| format | Article |
| id | mit-1721.1/51768 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:35:34Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/517682022-09-29T20:12:22Z Infinitely robust order and local order-parameter tulips in Apollonian networks with quenched disorder Kaplan, C. Nadir Hinczewski, Michael Berker, A. Nihat Massachusetts Institute of Technology. Department of Physics Berker, A. Nihat Berker, A. Nihat For a variety of quenched random spin systems on an Apollonian network, including ferromagnetic and antiferromagnetic bond percolation and the Ising spin glass, we find the persistence of ordered phases up to infinite temperature over the entire range of disorder. We develop a renormalization-group technique that yields highly detailed information, including the exact distributions of local magnetizations and local spin-glass order parameters, which turn out to exhibit, as function of temperature, complex and distinctive tulip patterns. Academy of Sciences of Turkey Scientific and Technological Research Council of Turkey (TÜBİTAK) 2010-02-17T16:10:23Z 2010-02-17T16:10:23Z 2009-01 2009-04 Article http://purl.org/eprint/type/JournalArticle 1550-2376 1539-3755 http://hdl.handle.net/1721.1/51768 Kaplan, C. Nadir, Michael Hinczewski, and A. Nihat Berker. “Infinitely robust order and local order-parameter tulips in Apollonian networks with quenched disorder.” Physical Review E 79.6 (2009): 061120. © 2009 The American Physical Society. https://orcid.org/0000-0002-5172-2172 en_US http://dx.doi.org/10.1103/PhysRevE.79.061120 Physical Review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Kaplan, C. Nadir Hinczewski, Michael Berker, A. Nihat Infinitely robust order and local order-parameter tulips in Apollonian networks with quenched disorder |
| title | Infinitely robust order and local order-parameter tulips in Apollonian networks with quenched disorder |
| title_full | Infinitely robust order and local order-parameter tulips in Apollonian networks with quenched disorder |
| title_fullStr | Infinitely robust order and local order-parameter tulips in Apollonian networks with quenched disorder |
| title_full_unstemmed | Infinitely robust order and local order-parameter tulips in Apollonian networks with quenched disorder |
| title_short | Infinitely robust order and local order-parameter tulips in Apollonian networks with quenched disorder |
| title_sort | infinitely robust order and local order parameter tulips in apollonian networks with quenched disorder |
| url | http://hdl.handle.net/1721.1/51768 https://orcid.org/0000-0002-5172-2172 |
| work_keys_str_mv | AT kaplancnadir infinitelyrobustorderandlocalorderparametertulipsinapolloniannetworkswithquencheddisorder AT hinczewskimichael infinitelyrobustorderandlocalorderparametertulipsinapolloniannetworkswithquencheddisorder AT berkeranihat infinitelyrobustorderandlocalorderparametertulipsinapolloniannetworkswithquencheddisorder |