Does the SYK model have a spin glass phase?
Abstract We argue that the Sachdev-Ye-Kitaev model has no spin glass phase, based on calculations involving both the nearly-conformal limit and the strongly-coupled Schwarzian limit of the model. This conclusion is supported by numerical computations of eigenvalue statistics with up to 46 Majorana f...
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SpringerOpen
2018-11-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2018)070 |
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doaj-b4c36e6c1bd54117b40ca961d0c629da2020-11-25T02:02:27ZengSpringerOpenJournal of High Energy Physics1029-84792018-11-0120181112010.1007/JHEP11(2018)070Does the SYK model have a spin glass phase?Guy Gur-Ari0Raghu Mahajan1Abolhassan Vaezi2School of Natural Sciences, Institute for Advanced StudySchool of Natural Sciences, Institute for Advanced StudyDepartment of Physics, Stanford UniversityAbstract We argue that the Sachdev-Ye-Kitaev model has no spin glass phase, based on calculations involving both the nearly-conformal limit and the strongly-coupled Schwarzian limit of the model. This conclusion is supported by numerical computations of eigenvalue statistics with up to 46 Majorana fermions. In addition, we find numerically that the distribution of the ground state energy is Gaussian.http://link.springer.com/article/10.1007/JHEP11(2018)070Field Theories in Lower DimensionsRandom Systems |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Guy Gur-Ari Raghu Mahajan Abolhassan Vaezi |
| spellingShingle |
Guy Gur-Ari Raghu Mahajan Abolhassan Vaezi Does the SYK model have a spin glass phase? Journal of High Energy Physics Field Theories in Lower Dimensions Random Systems |
| author_facet |
Guy Gur-Ari Raghu Mahajan Abolhassan Vaezi |
| author_sort |
Guy Gur-Ari |
| title |
Does the SYK model have a spin glass phase? |
| title_short |
Does the SYK model have a spin glass phase? |
| title_full |
Does the SYK model have a spin glass phase? |
| title_fullStr |
Does the SYK model have a spin glass phase? |
| title_full_unstemmed |
Does the SYK model have a spin glass phase? |
| title_sort |
does the syk model have a spin glass phase? |
| publisher |
SpringerOpen |
| series |
Journal of High Energy Physics |
| issn |
1029-8479 |
| publishDate |
2018-11-01 |
| description |
Abstract We argue that the Sachdev-Ye-Kitaev model has no spin glass phase, based on calculations involving both the nearly-conformal limit and the strongly-coupled Schwarzian limit of the model. This conclusion is supported by numerical computations of eigenvalue statistics with up to 46 Majorana fermions. In addition, we find numerically that the distribution of the ground state energy is Gaussian. |
| topic |
Field Theories in Lower Dimensions Random Systems |
| url |
http://link.springer.com/article/10.1007/JHEP11(2018)070 |
| work_keys_str_mv |
AT guygurari doesthesykmodelhaveaspinglassphase AT raghumahajan doesthesykmodelhaveaspinglassphase AT abolhassanvaezi doesthesykmodelhaveaspinglassphase |
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