Aspects of Defect Topology in Smectic Liquid Crystals

Thomas Machon; Hillel Aharoni; Yichen Hu; Randall D. Kamien

doi:10.1007/s00220-019-03366-y

Aspects of Defect Topology in Smectic Liquid Crystals

Thomas Machon^*, Hillel Aharoni, Yichen Hu, Randall D. Kamien

^*Corresponding author for this work

School of Physics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

We study the topology of smectic defects in two and three dimensions. We give a topological classification of smectic point defects and disclination lines in three dimensions. In addition we describe the combination rules for smectic point defects in two and three dimensions, showing how the broken translational symmetry of the smectic confers a path dependence on the result of defect addition.

Original language	English
Pages (from-to)	525-542
Number of pages	18
Journal	Communications in Mathematical Physics
Volume	372
Issue number	2
Early online date	20 Feb 2019
DOIs	https://doi.org/10.1007/s00220-019-03366-y
Publication status	Published - 1 Dec 2019

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title = "Aspects of Defect Topology in Smectic Liquid Crystals",

abstract = "We study the topology of smectic defects in two and three dimensions. We give a topological classification of smectic point defects and disclination lines in three dimensions. In addition we describe the combination rules for smectic point defects in two and three dimensions, showing how the broken translational symmetry of the smectic confers a path dependence on the result of defect addition.",

author = "Thomas Machon and Hillel Aharoni and Yichen Hu and Kamien, {Randall D.}",

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T1 - Aspects of Defect Topology in Smectic Liquid Crystals

AU - Machon, Thomas

AU - Aharoni, Hillel

AU - Hu, Yichen

AU - Kamien, Randall D.

PY - 2019/12/1

Y1 - 2019/12/1

N2 - We study the topology of smectic defects in two and three dimensions. We give a topological classification of smectic point defects and disclination lines in three dimensions. In addition we describe the combination rules for smectic point defects in two and three dimensions, showing how the broken translational symmetry of the smectic confers a path dependence on the result of defect addition.

AB - We study the topology of smectic defects in two and three dimensions. We give a topological classification of smectic point defects and disclination lines in three dimensions. In addition we describe the combination rules for smectic point defects in two and three dimensions, showing how the broken translational symmetry of the smectic confers a path dependence on the result of defect addition.

UR - http://www.scopus.com/inward/record.url?scp=85061900827&partnerID=8YFLogxK

U2 - 10.1007/s00220-019-03366-y

DO - 10.1007/s00220-019-03366-y

M3 - Article (Academic Journal)

AN - SCOPUS:85061900827

SN - 0010-3616

VL - 372

SP - 525

EP - 542

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

Aspects of Defect Topology in Smectic Liquid Crystals

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