Spin-orbit coupling and electronic charge effects in Mott insulators
Abstract
We derive the effective charge- and current-density operators for the strong-coupling limit of a single-band Mott insulator in the presence of spin-orbit coupling and show that the spin-orbit contribution to the effective charge density leads to novel mechanisms for multiferroic behavior. In some sense, these mechanisms are the electronic counterpart of the ionic-based mechanisms, which have been proposed for explaining the electric polarization induced by spiral spin orderings. In addition, the new electronic mechanisms are illustrated by considering cycloidal and proper-screw magnetic orderings on sawtooth and kagome lattices. As for the isotropic case, geometric frustration is crucial for achieving this purely electronic coupling between spin and charge degrees of freedom.
- Authors:
-
- Zhejiang Univ., Hangzhou (People's Republic of China)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1234260
- Alternate Identifier(s):
- OSTI ID: 1180285
- Report Number(s):
- LA-UR-14-28062
Journal ID: ISSN 1098-0121; PRBMDO
- Grant/Contract Number:
- 11074216; 11274272; AC52-06NA25396; PHYS-1066293
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B, Condensed Matter and Materials Physics
- Additional Journal Information:
- Journal Volume: 90; Journal Issue: 19; Journal ID: ISSN 1098-0121
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Zhu, Shan, Li, You -Quan, and Batista, Cristian D. Spin-orbit coupling and electronic charge effects in Mott insulators. United States: N. p., 2014.
Web. doi:10.1103/PhysRevB.90.195107.
Zhu, Shan, Li, You -Quan, & Batista, Cristian D. Spin-orbit coupling and electronic charge effects in Mott insulators. United States. https://doi.org/10.1103/PhysRevB.90.195107
Zhu, Shan, Li, You -Quan, and Batista, Cristian D. Tue .
"Spin-orbit coupling and electronic charge effects in Mott insulators". United States. https://doi.org/10.1103/PhysRevB.90.195107. https://www.osti.gov/servlets/purl/1234260.
@article{osti_1234260,
title = {Spin-orbit coupling and electronic charge effects in Mott insulators},
author = {Zhu, Shan and Li, You -Quan and Batista, Cristian D.},
abstractNote = {We derive the effective charge- and current-density operators for the strong-coupling limit of a single-band Mott insulator in the presence of spin-orbit coupling and show that the spin-orbit contribution to the effective charge density leads to novel mechanisms for multiferroic behavior. In some sense, these mechanisms are the electronic counterpart of the ionic-based mechanisms, which have been proposed for explaining the electric polarization induced by spiral spin orderings. In addition, the new electronic mechanisms are illustrated by considering cycloidal and proper-screw magnetic orderings on sawtooth and kagome lattices. As for the isotropic case, geometric frustration is crucial for achieving this purely electronic coupling between spin and charge degrees of freedom.},
doi = {10.1103/PhysRevB.90.195107},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 19,
volume = 90,
place = {United States},
year = {Tue Nov 04 00:00:00 EST 2014},
month = {Tue Nov 04 00:00:00 EST 2014}
}
Web of Science
Works referenced in this record:
Magnetic control of ferroelectric polarization
journal, November 2003
- Kimura, T.; Goto, T.; Shintani, H.
- Nature, Vol. 426, Issue 6962
Electric polarization reversal and memory in a multiferroic material induced by magnetic fields
journal, May 2004
- Hur, N.; Park, S.; Sharma, P. A.
- Nature, Vol. 429, Issue 6990
Electric Polarization Rotation in a Hexaferrite with Long-Wavelength Magnetic Structures
journal, April 2005
- Kimura, T.; Lawes, G.; Ramirez, A. P.
- Physical Review Letters, Vol. 94, Issue 13
Magnetically Driven Ferroelectric Order in
journal, August 2005
- Lawes, G.; Harris, A. B.; Kimura, T.
- Physical Review Letters, Vol. 95, Issue 8
Ferroelectric Polarization Flop in a Frustrated Magnet Induced by a Magnetic Field
journal, August 2006
- Taniguchi, K.; Abe, N.; Takenobu, T.
- Physical Review Letters, Vol. 97, Issue 9
Electronic orbital currents and polarization in Mott insulators
journal, July 2008
- Bulaevskii, L. N.; Batista, C. D.; Mostovoy, M. V.
- Physical Review B, Vol. 78, Issue 2
Exact Bond Ordered Ground State for the Transition between the Band and the Mott Insulator
journal, June 2004
- Batista, C. D.; Aligia, A. A.
- Physical Review Letters, Vol. 92, Issue 24
Dimerized phase of ionic Hubbard models
journal, March 2005
- Aligia, A. A.; Batista, C. D.
- Physical Review B, Vol. 71, Issue 12
Orbital Magnetism Induced by Heat Currents in Mott Insulators
journal, October 2013
- Lin, Shi-Zeng; Batista, Cristian D.
- Physical Review Letters, Vol. 111, Issue 16
Multiferroic Behavior in Trimerized Mott Insulators
journal, February 2012
- Kamiya, Y.; Batista, C. D.
- Physical Review Letters, Vol. 108, Issue 9
Spin Current and Magnetoelectric Effect in Noncollinear Magnets
journal, July 2005
- Katsura, Hosho; Nagaosa, Naoto; Balatsky, Alexander V.
- Physical Review Letters, Vol. 95, Issue 5
Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
journal, March 2006
- Sergienko, I. A.; Dagotto, E.
- Physical Review B, Vol. 73, Issue 9
Ferroelectricity in Spiral Magnets
journal, February 2006
- Mostovoy, Maxim
- Physical Review Letters, Vol. 96, Issue 6
Ferroelectricity Induced by Proper-Screw Type Magnetic Order
journal, July 2007
- Arima, Taka-hisa
- Journal of the Physical Society of Japan, Vol. 76, Issue 7
Microscopic theory of spin-polarization coupling in multiferroic transition metal oxides
journal, October 2007
- Jia, Chenglong; Onoda, Shigeki; Nagaosa, Naoto
- Physical Review B, Vol. 76, Issue 14
Electric polarization induced by a proper helical magnetic ordering in a delafossite multiferroic
journal, February 2008
- Nakajima, T.; Mitsuda, S.; Kanetsuki, S.
- Physical Review B, Vol. 77, Issue 5
Magnetic Digital Flop of Ferroelectric Domain with Fixed Spin Chirality in a Triangular Lattice Helimagnet
journal, November 2009
- Seki, S.; Murakawa, H.; Onose, Y.
- Physical Review Letters, Vol. 103, Issue 23
Magnetic-Field Induced Competition of Two Multiferroic Orders in a Triangular-Lattice Helimagnet
journal, April 2011
- Kurumaji, T.; Seki, S.; Ishiwata, S.
- Physical Review Letters, Vol. 106, Issue 16
Magnetoelectric nature of skyrmions in a chiral magnetic insulator Cu OSeO
journal, August 2012
- Seki, S.; Ishiwata, S.; Tokura, Y.
- Physical Review B, Vol. 86, Issue 6
Observation of Skyrmions in a Multiferroic Material
journal, April 2012
- Seki, S.; Yu, X. Z.; Ishiwata, S.
- Science, Vol. 336, Issue 6078
Magnetoelectric responses induced by domain rearrangement and spin structural change in triangular-lattice helimagnets NiI and CoI
journal, January 2013
- Kurumaji, T.; Seki, S.; Ishiwata, S.
- Physical Review B, Vol. 87, Issue 1
Skyrmion dynamics in multiferroic insulators
journal, March 2013
- Liu, Ye-Hua; Li, You-Quan; Han, Jung Hoon
- Physical Review B, Vol. 87, Issue 10
Anisotropic Superexchange Interaction and Weak Ferromagnetism
journal, October 1960
- Moriya, Tôru
- Physical Review, Vol. 120, Issue 1
Moriya’s anisotropic superexchange interaction, frustration, and Dzyaloshinsky’s weak ferromagnetism
journal, August 1992
- Shekhtman, L.; Entin-Wohlman, O.; Aharony, Amnon
- Physical Review Letters, Vol. 69, Issue 5
expansion for the Hubbard model
journal, June 1988
- MacDonald, A. H.; Girvin, S. M.; Yoshioka, D.
- Physical Review B, Vol. 37, Issue 16
Reply to ‘‘Comment on ‘ t/U expansion for the Hubbard model’’’
journal, February 1990
- MacDonald, A. H.; Girvin, S. M.; Yoshioka, D.
- Physical Review B, Vol. 41, Issue 4
General spin-order theory via gauge Landau-Lifshitz equation
journal, November 2011
- Li, You-Quan; Liu, Ye-Hua; Zhou, Yi
- Physical Review B, Vol. 84, Issue 20
Itinerant Electron-Driven Chiral Magnetic Ordering and Spontaneous Quantum Hall Effect in Triangular Lattice Models
journal, October 2008
- Martin, Ivar; Batista, C. D.
- Physical Review Letters, Vol. 101, Issue 15
Field-Induced Orbital Antiferromagnetism in Mott Insulators
journal, November 2009
- Al-Hassanieh, K. A.; Batista, C. D.; Ortiz, G.
- Physical Review Letters, Vol. 103, Issue 21
Stability of the Spontaneous Quantum Hall State in the Triangular Kondo-Lattice Model
journal, December 2010
- Kato, Yasuyuki; Martin, Ivar; Batista, C. D.
- Physical Review Letters, Vol. 105, Issue 26
Works referencing / citing this record:
Frustration and chiral orderings in correlated electron systems
journal, July 2016
- Batista, Cristian D.; Lin, Shi-Zeng; Hayami, Satoru
- Reports on Progress in Physics, Vol. 79, Issue 8