Aspects of Defect Topology in Smectic Liquid Crystals

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

doi:https://doi.org/10.1007/s00220-019-03366-y

Aspects of Defect Topology in Smectic Liquid Crystals

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

Department of Physics of Complex Systems

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

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
State	Published - Dec 2019

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

https://doi.org/10.1007/s00220-019-03366-yLicense: CC BY

Cite this

@article{6bb6a514c1d54ad48d35aeee7ccaf192,

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.}",

note = "We would like to acknowledge conversations with B.G. Chen and R.A. Mosna. This work was partially supported by the NSF through Grant DMR-1262047 as well as a Simons Investigator award from the Simons Foundation to R.D.K.",

year = "2019",

month = dec,

doi = "https://doi.org/10.1007/s00220-019-03366-y",

language = "الإنجليزيّة",

volume = "372",

pages = "525--542",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Aspects of Defect Topology in Smectic Liquid Crystals

AU - Machon, Thomas

AU - Aharoni, Hillel

AU - Hu, Yichen

AU - Kamien, Randall D.

N1 - We would like to acknowledge conversations with B.G. Chen and R.A. Mosna. This work was partially supported by the NSF through Grant DMR-1262047 as well as a Simons Investigator award from the Simons Foundation to R.D.K.

PY - 2019/12

Y1 - 2019/12

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.

U2 - https://doi.org/10.1007/s00220-019-03366-y

DO - https://doi.org/10.1007/s00220-019-03366-y

M3 - مقالة

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Fingerprint

Cite this