Escape from the Second Dimension: A Topological Distinction Between Edge and Screw Dislocations
Phys. Rev. E 109 (2024) L012701 Volterra's definition of dislocations in crystals distinguishes edge and screw defects geometrically, according to whether the Burgers vector is perpendicular or parallel to the defect. Here, we demonstrate a distinction between screw and edge dislocations that e...
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| creator | Severino, Paul G Kamien, Randall D |
| description | Phys. Rev. E 109 (2024) L012701 Volterra's definition of dislocations in crystals distinguishes edge and
screw defects geometrically, according to whether the Burgers vector is
perpendicular or parallel to the defect. Here, we demonstrate a distinction
between screw and edge dislocations that enables a unified, purely topological
means of classification. Our construction relies on the construction of real or
virtual disclination-line pairs at the core of the dislocation in a smectic and
can be generalized to crystals with triply-periodic order. The connection
between topology and geometry is exploited. |
| doi_str_mv | 10.48550/arxiv.2304.07105 |
| format | Article |
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screw defects geometrically, according to whether the Burgers vector is
perpendicular or parallel to the defect. Here, we demonstrate a distinction
between screw and edge dislocations that enables a unified, purely topological
means of classification. Our construction relies on the construction of real or
virtual disclination-line pairs at the core of the dislocation in a smectic and
can be generalized to crystals with triply-periodic order. The connection
between topology and geometry is exploited.</description><identifier>DOI: 10.48550/arxiv.2304.07105</identifier><language>eng</language><subject>Physics - Materials Science ; Physics - Soft Condensed Matter</subject><creationdate>2023-04</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2304.07105$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2304.07105$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Severino, Paul G</creatorcontrib><creatorcontrib>Kamien, Randall D</creatorcontrib><title>Escape from the Second Dimension: A Topological Distinction Between Edge and Screw Dislocations</title><description>Phys. Rev. E 109 (2024) L012701 Volterra's definition of dislocations in crystals distinguishes edge and
screw defects geometrically, according to whether the Burgers vector is
perpendicular or parallel to the defect. Here, we demonstrate a distinction
between screw and edge dislocations that enables a unified, purely topological
means of classification. Our construction relies on the construction of real or
virtual disclination-line pairs at the core of the dislocation in a smectic and
can be generalized to crystals with triply-periodic order. The connection
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screw defects geometrically, according to whether the Burgers vector is
perpendicular or parallel to the defect. Here, we demonstrate a distinction
between screw and edge dislocations that enables a unified, purely topological
means of classification. Our construction relies on the construction of real or
virtual disclination-line pairs at the core of the dislocation in a smectic and
can be generalized to crystals with triply-periodic order. The connection
between topology and geometry is exploited.</abstract><doi>10.48550/arxiv.2304.07105</doi><oa>free_for_read</oa></addata></record> |
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| title | Escape from the Second Dimension: A Topological Distinction Between Edge and Screw Dislocations |
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