Dynamic scaling in the quenched disordered classical N-vector model
We revisit the effects of short-ranged random quenched disorder on the universal scaling properties of the classical N-vector model with cubic anisotropy. We set up the nonconserved relaxational dynamics of the model, and study the universal dynamic scaling near the second-order phase transition. We...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-09-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033423 |
| _version_ | 1797211262638096384 |
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| author | Sudip Mukherjee Abhik Basu |
| author_facet | Sudip Mukherjee Abhik Basu |
| author_sort | Sudip Mukherjee |
| collection | DOAJ |
| description | We revisit the effects of short-ranged random quenched disorder on the universal scaling properties of the classical N-vector model with cubic anisotropy. We set up the nonconserved relaxational dynamics of the model, and study the universal dynamic scaling near the second-order phase transition. We extract the critical exponents and the dynamic exponent in a one-loop dynamic renormalization group calculation with short-ranged isotropic disorder. We show that the dynamics near a critical point is generically slower when the quenched disorder is relevant than when it is not, independent of whether the pure model is isotropic or cubic anisotropic. We demonstrate the surprising thresholdless instability of the associated universality class due to perturbations from rotational invariance breaking quenched disorder-order parameter coupling, indicating breakdown of dynamic scaling. We speculate that this may imply a novel first-order transition in the model, induced by a symmetry-breaking disorder. |
| first_indexed | 2024-04-24T10:23:42Z |
| format | Article |
| id | doaj.art-555eaf875e91436a9f633d18a7d11634 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:23:42Z |
| publishDate | 2020-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-555eaf875e91436a9f633d18a7d116342024-04-12T17:00:41ZengAmerican Physical SocietyPhysical Review Research2643-15642020-09-012303342310.1103/PhysRevResearch.2.033423Dynamic scaling in the quenched disordered classical N-vector modelSudip MukherjeeAbhik BasuWe revisit the effects of short-ranged random quenched disorder on the universal scaling properties of the classical N-vector model with cubic anisotropy. We set up the nonconserved relaxational dynamics of the model, and study the universal dynamic scaling near the second-order phase transition. We extract the critical exponents and the dynamic exponent in a one-loop dynamic renormalization group calculation with short-ranged isotropic disorder. We show that the dynamics near a critical point is generically slower when the quenched disorder is relevant than when it is not, independent of whether the pure model is isotropic or cubic anisotropic. We demonstrate the surprising thresholdless instability of the associated universality class due to perturbations from rotational invariance breaking quenched disorder-order parameter coupling, indicating breakdown of dynamic scaling. We speculate that this may imply a novel first-order transition in the model, induced by a symmetry-breaking disorder.http://doi.org/10.1103/PhysRevResearch.2.033423 |
| spellingShingle | Sudip Mukherjee Abhik Basu Dynamic scaling in the quenched disordered classical N-vector model Physical Review Research |
| title | Dynamic scaling in the quenched disordered classical N-vector model |
| title_full | Dynamic scaling in the quenched disordered classical N-vector model |
| title_fullStr | Dynamic scaling in the quenched disordered classical N-vector model |
| title_full_unstemmed | Dynamic scaling in the quenched disordered classical N-vector model |
| title_short | Dynamic scaling in the quenched disordered classical N-vector model |
| title_sort | dynamic scaling in the quenched disordered classical n vector model |
| url | http://doi.org/10.1103/PhysRevResearch.2.033423 |
| work_keys_str_mv | AT sudipmukherjee dynamicscalinginthequencheddisorderedclassicalnvectormodel AT abhikbasu dynamicscalinginthequencheddisorderedclassicalnvectormodel |