Long-Range Order and Directional Defect Propagation in the Nonreciprocal XY Model with Vision Cone Interactions
We study a two-dimensional, nonreciprocal XY model, where each spin interacts only with its nearest neighbors in a certain angle around its current orientation, i.e., its "vision cone." Using energetic arguments and Monte Carlo simulations, we show that a true long-range ordered phase emer...
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| Published in | Physical review letters Vol. 130; no. 19; p. 198301 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
United States
12.05.2023
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| Online Access | Get more information |
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| Abstract | We study a two-dimensional, nonreciprocal XY model, where each spin interacts only with its nearest neighbors in a certain angle around its current orientation, i.e., its "vision cone." Using energetic arguments and Monte Carlo simulations, we show that a true long-range ordered phase emerges. A necessary ingredient is a configuration-dependent bond dilution entailed by the vision cones. Strikingly, defects propagate in a directional manner, thereby breaking the parity and time-reversal symmetry of the spin dynamics. This is detectable by a nonzero entropy production rate. |
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| AbstractList | We study a two-dimensional, nonreciprocal XY model, where each spin interacts only with its nearest neighbors in a certain angle around its current orientation, i.e., its "vision cone." Using energetic arguments and Monte Carlo simulations, we show that a true long-range ordered phase emerges. A necessary ingredient is a configuration-dependent bond dilution entailed by the vision cones. Strikingly, defects propagate in a directional manner, thereby breaking the parity and time-reversal symmetry of the spin dynamics. This is detectable by a nonzero entropy production rate. |
| Author | Loos, Sarah A M Klapp, Sabine H L Martynec, Thomas |
| Author_xml | – sequence: 1 givenname: Sarah A M surname: Loos fullname: Loos, Sarah A M organization: DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom – sequence: 2 givenname: Sabine H L surname: Klapp fullname: Klapp, Sabine H L organization: Technische Universität Berlin, Straße des 17. Juni 135, 10623 Berlin, Germany – sequence: 3 givenname: Thomas surname: Martynec fullname: Martynec, Thomas organization: Technische Universität Berlin, Straße des 17. Juni 135, 10623 Berlin, Germany |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/37243650$$D View this record in MEDLINE/PubMed |
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| CitedBy_id | crossref_primary_10_1103_PhysRevE_110_054125 crossref_primary_10_1103_PhysRevLett_134_117103 crossref_primary_10_1103_PhysRevB_110_024312 crossref_primary_10_1039_D3SM00795B crossref_primary_10_1088_1367_2630_ad50ff crossref_primary_10_1103_PhysRevE_109_054129 crossref_primary_10_1103_PhysRevLett_132_268301 crossref_primary_10_7566_JPSJ_92_121007 crossref_primary_10_1039_D4SM00775A crossref_primary_10_1063_5_0147231 crossref_primary_10_1103_PhysRevE_108_064119 crossref_primary_10_1103_PhysRevE_108_064610 crossref_primary_10_1103_PhysRevResearch_5_L022033 crossref_primary_10_1103_PhysRevE_110_064135 crossref_primary_10_1103_PhysRevLett_131_148301 crossref_primary_10_1103_PhysRevE_111_034124 crossref_primary_10_1103_PhysRevLett_133_028301 crossref_primary_10_1103_PhysRevResearch_5_043032 crossref_primary_10_21468_SciPostPhys_17_4_103 crossref_primary_10_1103_PhysRevX_15_011010 crossref_primary_10_1088_1751_8121_ad4c31 crossref_primary_10_1103_PhysRevE_111_014131 crossref_primary_10_1103_PhysRevX_14_011029 crossref_primary_10_1103_PhysRevLett_133_258303 crossref_primary_10_1103_PhysRevX_14_031031 crossref_primary_10_1016_j_chaos_2024_115782 crossref_primary_10_1103_PhysRevE_108_064123 crossref_primary_10_1088_1742_5468_ad83c9 crossref_primary_10_1103_PhysRevE_110_024140 crossref_primary_10_1103_PhysRevResearch_7_L012048 crossref_primary_10_1103_PhysRevResearch_5_L032038 crossref_primary_10_1073_pnas_2407705121 crossref_primary_10_1103_PhysRevLett_133_258301 |
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| Title | Long-Range Order and Directional Defect Propagation in the Nonreciprocal XY Model with Vision Cone Interactions |
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