Permutable SOS (symmetry operational similarity)

Cheong, Sang-Wook; Lim, Seongjoon; Du, Kai; Huang, Fei-Ting

doi:10.1038/s41535-021-00346-1

Title: Permutable SOS (symmetry operational similarity)

Abstract

Abstract Based on symmetry consideration, quasi-one-dimensional (1D) objects, relevant to numerous observables or phenomena, can be classified into eight different types. We provide various examples of each 1D type and discuss their symmetry operational similarity (SOS) relationships, which are often permutable. A number of recent experimental observations, including current-induced magnetization in polar or chiral conductors, non-linear Hall effect in polar conductors, spin-polarization of tunneling current to chiral conductors, and ferro-rotational domain imaging with linear gyration are discussed in terms of (permutable) SOS. In addition, based on (permutable) SOS, we predict a large number of new phenomena in low symmetry materials that can be experimentally verified in the future.

Authors:

; Lim, Seongjoon; Du, Kai; Huang, Fei-Ting

Publication Date:: Fri Jun 11 00:00:00 EDT 2021

Sponsoring Org.:: USDOE

OSTI Identifier:: 1787893

Grant/Contract Number:: FG02-07ER46382

Resource Type:: Published Article

Journal Name:: npj Quantum Materials

Additional Journal Information:: Journal Name: npj Quantum Materials Journal Volume: 6 Journal Issue: 1; Journal ID: ISSN 2397-4648

Publisher:: Nature Publishing Group

Country of Publication:: United Kingdom

Language:: English

Citation Formats


                    Cheong, Sang-Wook, Lim, Seongjoon, Du, Kai, and Huang, Fei-Ting. Permutable SOS (symmetry operational similarity).  United Kingdom: N. p., 2021. 
Web.  doi:10.1038/s41535-021-00346-1.

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                    Cheong, Sang-Wook, Lim, Seongjoon, Du, Kai, & Huang, Fei-Ting. Permutable SOS (symmetry operational similarity).  United Kingdom.  https://doi.org/10.1038/s41535-021-00346-1

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                    Cheong, Sang-Wook, Lim, Seongjoon, Du, Kai, and Huang, Fei-Ting. Fri .  
"Permutable SOS (symmetry operational similarity)".  United Kingdom.  https://doi.org/10.1038/s41535-021-00346-1.

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@article{osti_1787893,

  title        = {Permutable SOS (symmetry operational similarity)},

  author       = {Cheong, Sang-Wook and Lim, Seongjoon and Du, Kai and Huang, Fei-Ting},

  abstractNote = {Abstract Based on symmetry consideration, quasi-one-dimensional (1D) objects, relevant to numerous observables or phenomena, can be classified into eight different types. We provide various examples of each 1D type and discuss their symmetry operational similarity (SOS) relationships, which are often permutable. A number of recent experimental observations, including current-induced magnetization in polar or chiral conductors, non-linear Hall effect in polar conductors, spin-polarization of tunneling current to chiral conductors, and ferro-rotational domain imaging with linear gyration are discussed in terms of (permutable) SOS. In addition, based on (permutable) SOS, we predict a large number of new phenomena in low symmetry materials that can be experimentally verified in the future.},

  doi          = {10.1038/s41535-021-00346-1},

  journal      = {npj Quantum Materials},

  number       = 1,

  volume       = 6,

  place        = {United Kingdom},

  year         = {Fri Jun 11 00:00:00 EDT 2021},

  month        = {Fri Jun 11 00:00:00 EDT 2021}

}

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Title: Permutable SOS (symmetry operational similarity)

Abstract

Citation Formats

Trompe L’oeil Ferromagnetism journal, June 2020

Magnetic-field-induced toroidal moment in the magnetoelectric Cr2O3 journal, February 1999

Broken symmetries, non-reciprocity, and multiferroicity journal, April 2018

Theory of the structural phase transition of GeTe journal, October 1987

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Structural distortions in the low-temperature phase of NbO 2 journal, April 1976

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Magneto-chiral dichroism of CsCuCl3 journal, September 2017

Observation of the nonlinear Hall effect under time-reversal-symmetric conditions journal, December 2018

Cu 3 Nb 2 O 8 : A Multiferroic with Chiral Coupling to the Crystal Structure journal, September 2011

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Vortex ferroelectric domains, large-loop weak ferromagnetic domains, and their decoupling in hexagonal (Lu, Sc)FeO3 journal, July 2018

Axial-Vector Vertex in Spinor Electrodynamics journal, January 1969

High-Temperature Terahertz Optical Diode Effect without Magnetic Order in Polar FeZnMo 3 O 8 journal, January 2018

Eight Types of Symmetrically Distinct Vectorlike Physical Quantities journal, October 2014

Spontaneous non-reciprocal reflection of light from antiferromagnetic Cr 2 O 3 journal, November 1993

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Valley magnetoelectricity in single-layer MoS2 journal, July 2017

Orthogonal magnetization and symmetry breaking in pyrochlore iridate Eu2Ir2O7 journal, February 2017

Space-oscillating photocurrent in crystals without symmetry center journal, May 1978

Chiral atomically thin films journal, February 2016

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A PCAC puzzle: π0→γγ in the σ-model journal, March 1969

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Bulk rectification effect in a polar semiconductor journal, March 2017

Giant Rashba-type spin splitting in bulk BiTeI journal, June 2011

Giant Improper Ferroelectricity in the Ferroaxial Magnet CaMn 7 O 12 journal, February 2012

Trompe L’oeil Ferromagnetism
journal, June 2020

Magnetic-field-induced toroidal moment in the magnetoelectric Cr2O3
journal, February 1999

Broken symmetries, non-reciprocity, and multiferroicity
journal, April 2018

Theory of the structural phase transition of GeTe
journal, October 1987

Observation of current-induced bulk magnetization in elemental tellurium
journal, October 2017

Visualization of ferroaxial domains in an order-disorder type ferroaxial crystal
journal, September 2020

Observation of a ferro-rotational order coupled with second-order nonlinear optical fields
journal, November 2019

Structural distortions in the low-temperature phase of ${NbO}_{2}$
journal, April 1976

Realization of an Antiferromagnetic Superatomic Graphene: Dirac Mott Insulator and Circular Dichroism Hall Effect
journal, December 2020

Magneto-chiral dichroism of CsCuCl3
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Observation of the nonlinear Hall effect under time-reversal-symmetric conditions
journal, December 2018

${Cu}_{3} {Nb}_{2} O_{8}$ : A Multiferroic with Chiral Coupling to the Crystal Structure
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Weyl Semimetal in a Topological Insulator Multilayer
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Vortex ferroelectric domains, large-loop weak ferromagnetic domains, and their decoupling in hexagonal (Lu, Sc)FeO3
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Axial-Vector Vertex in Spinor Electrodynamics
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High-Temperature Terahertz Optical Diode Effect without Magnetic Order in Polar ${FeZnMo}_{3} O_{8}$
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Eight Types of Symmetrically Distinct Vectorlike Physical Quantities
journal, October 2014

Spontaneous non-reciprocal reflection of light from antiferromagnetic Cr ₂ O ₃
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Crystal and magnetic structure of ${Ca}_{3} {Ru}_{2} O_{7}$
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Chiral atomically thin films
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