Emergent universal critical behavior of the 2D N-color Ashkin-Teller model in the presence of correlated disorder
We study the critical behavior of the 2D N-color Ashkin-Teller model in the presence of random bond disorder whose correlations decays with the distance r as a power-law r −a . We consider the case when the spins of different colors sitting at the same site are coupled by the same bond and map t...
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| Дата: | 2017 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2017
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156971 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Emergent universal critical behavior of the 2D N-color Ashkin-Teller model in the presence of correlated disorder / M. Dudka, A.A. Fedorenko // Condensed Matter Physics. — 2017. — Т. 20, № 1. — С. 13603: 1–11. — Бібліогр.: 57 назв. — англ. |
Репозитарії
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irk-123456789-1569712019-06-20T01:27:16Z Emergent universal critical behavior of the 2D N-color Ashkin-Teller model in the presence of correlated disorder Dudka, M. Fedorenko, A.A. We study the critical behavior of the 2D N-color Ashkin-Teller model in the presence of random bond disorder whose correlations decays with the distance r as a power-law r −a . We consider the case when the spins of different colors sitting at the same site are coupled by the same bond and map this problem onto the 2D system of N/2 flavors of interacting Dirac fermions in the presence of correlated disorder. Using renormalization group we show that for N = 2, a “weakly universal” scaling behavior at the continuous transition becomes universal with new critical exponents. For N > 2, the first-order phase transition is rounded by the correlated disorder and turns into a continuous one. Ми вивчаємо критичну поведiнку 2D N-кольорової моделi Ашкiна-Телера у присутностi безладу типу випадкових зв’язкiв, кореляцiї якого спадають з вiдстанню r за степеневим законом r −a . Ми розглядаємо випадок, коли спiни рiзних кольорiв, що сидять на тому ж самому вузлi, зв’язанi одним зв’язком, i переводимо цю задачу на 2D систему N/2 ароматiв взаємодiючих фермiонiв Дiрака у присутностi скорельованого безладу. Використовуючи ренорм-групу, ми показуємо, що для випадку N = 2 “слабка унiверсальнiсть” при неперервному переходi стає унiверсальною з новими критичними показниками. Для N > 2 фазовий перехiд першого роду перетворюється скорельованим безладом в неперервний. 2017 Article Emergent universal critical behavior of the 2D N-color Ashkin-Teller model in the presence of correlated disorder / M. Dudka, A.A. Fedorenko // Condensed Matter Physics. — 2017. — Т. 20, № 1. — С. 13603: 1–11. — Бібліогр.: 57 назв. — англ. 1607-324X PACS: 61.43.-j, 64.60.ae, 64.60.Bd, 75.10.Hk DOI:10.5488/CMP.20.13603 arXiv:1702.04340 http://dspace.nbuv.gov.ua/handle/123456789/156971 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We study the critical behavior of the 2D N-color Ashkin-Teller model in the presence of random bond disorder
whose correlations decays with the distance r as a power-law r
−a
. We consider the case when the spins of
different colors sitting at the same site are coupled by the same bond and map this problem onto the 2D system
of N/2 flavors of interacting Dirac fermions in the presence of correlated disorder. Using renormalization group
we show that for N = 2, a “weakly universal” scaling behavior at the continuous transition becomes universal
with new critical exponents. For N > 2, the first-order phase transition is rounded by the correlated disorder
and turns into a continuous one. |
| format |
Article |
| author |
Dudka, M. Fedorenko, A.A. |
| spellingShingle |
Dudka, M. Fedorenko, A.A. Emergent universal critical behavior of the 2D N-color Ashkin-Teller model in the presence of correlated disorder Condensed Matter Physics |
| author_facet |
Dudka, M. Fedorenko, A.A. |
| author_sort |
Dudka, M. |
| title |
Emergent universal critical behavior of the 2D N-color Ashkin-Teller model in the presence of correlated disorder |
| title_short |
Emergent universal critical behavior of the 2D N-color Ashkin-Teller model in the presence of correlated disorder |
| title_full |
Emergent universal critical behavior of the 2D N-color Ashkin-Teller model in the presence of correlated disorder |
| title_fullStr |
Emergent universal critical behavior of the 2D N-color Ashkin-Teller model in the presence of correlated disorder |
| title_full_unstemmed |
Emergent universal critical behavior of the 2D N-color Ashkin-Teller model in the presence of correlated disorder |
| title_sort |
emergent universal critical behavior of the 2d n-color ashkin-teller model in the presence of correlated disorder |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156971 |
| citation_txt |
Emergent universal critical behavior of the 2D N-color Ashkin-Teller model in the presence of correlated disorder / M. Dudka, A.A. Fedorenko // Condensed Matter Physics. — 2017. — Т. 20, № 1. — С. 13603: 1–11. — Бібліогр.: 57 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT dudkam emergentuniversalcriticalbehaviorofthe2dncolorashkintellermodelinthepresenceofcorrelateddisorder AT fedorenkoaa emergentuniversalcriticalbehaviorofthe2dncolorashkintellermodelinthepresenceofcorrelateddisorder |
| first_indexed |
2023-05-20T17:50:56Z |
| last_indexed |
2023-05-20T17:50:56Z |
| _version_ |
1796154233050890240 |