Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates A2IrO3

Singh, Yogesh; Manni, S.; Reuther, J.; Berlijn, T.; Thomale, R.; Ku, W.; Trebst, S.; Gegenwart, P.

doi:10.1103/PhysRevLett.108.127203

Title: Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates A₂IrO₃

Authors:: Singh, Yogesh; Manni, S.; Reuther, J.; Berlijn, T.; Thomale, R.; Ku, W.; Trebst, S.; Gegenwart, P.

Publication Date:: Tue Mar 20 00:00:00 EDT 2012

Sponsoring Org.:: USDOE

OSTI Identifier:: 1104238

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 108 Journal Issue: 12; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Singh, Yogesh, Manni, S., Reuther, J., Berlijn, T., Thomale, R., Ku, W., Trebst, S., and Gegenwart, P. Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates A2IrO3.  United States: N. p., 2012. 
Web.  doi:10.1103/PhysRevLett.108.127203.

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                    Singh, Yogesh, Manni, S., Reuther, J., Berlijn, T., Thomale, R., Ku, W., Trebst, S., & Gegenwart, P. Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates A2IrO3.  United States.  https://doi.org/10.1103/PhysRevLett.108.127203

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                    Singh, Yogesh, Manni, S., Reuther, J., Berlijn, T., Thomale, R., Ku, W., Trebst, S., and Gegenwart, P. Tue .  
"Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates A2IrO3".  United States.  https://doi.org/10.1103/PhysRevLett.108.127203.

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@article{osti_1104238,

  title        = {Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates A2IrO3},

  author       = {Singh, Yogesh and Manni, S. and Reuther, J. and Berlijn, T. and Thomale, R. and Ku, W. and Trebst, S. and Gegenwart, P.},

  abstractNote = {},

  doi          = {10.1103/PhysRevLett.108.127203},

  journal      = {Physical Review Letters},

  number       = 12,

  volume       = 108,

  place        = {United States},

  year         = {Tue Mar 20 00:00:00 EDT 2012},

  month        = {Tue Mar 20 00:00:00 EDT 2012}

}

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Works referenced in this record:

Kitaev-Heisenberg- $J_{2}$ - $J_{3}$ model for the iridates $A_{2}$ IrO $_{3}$
journal, November 2011

Kimchi, Itamar; You, Yi-Zhuang
Physical Review B, Vol. 84, Issue 18
DOI: 10.1103/PhysRevB.84.180407

The magnetic behavior of Li2MO3 (M=Mn, Ru and Ir) and Li2(Mn1−xRux)O3
journal, February 2002

Felner, I.; Bradarić, I. M.
Physica B: Condensed Matter, Vol. 311, Issue 3-4
DOI: 10.1016/S0921-4526(01)01038-9

Anyons in an exactly solved model and beyond
journal, January 2006

Kitaev, Alexei
Annals of Physics, Vol. 321, Issue 1
DOI: 10.1016/j.aop.2005.10.005

Spin liquids in frustrated magnets
journal, March 2010

Balents, Leon
Nature, Vol. 464, Issue 7286
DOI: 10.1038/nature08917

Non-Abelian anyons and topological quantum computation
journal, September 2008

Nayak, Chetan; Simon, Steven H.; Stern, Ady
Reviews of Modern Physics, Vol. 80, Issue 3
DOI: 10.1103/RevModPhys.80.1083

Non-Abelian states of matter
journal, March 2010

Stern, Ady
Nature, Vol. 464, Issue 7286
DOI: 10.1038/nature08915

Finite-temperature phase diagram of the Heisenberg-Kitaev model
journal, September 2011

Reuther, Johannes; Thomale, Ronny; Trebst, Simon
Physical Review B, Vol. 84, Issue 10
DOI: 10.1103/PhysRevB.84.100406

Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect
journal, April 2000

Read, N.; Green, Dmitry
Physical Review B, Vol. 61, Issue 15
DOI: 10.1103/PhysRevB.61.10267

Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator
journal, March 2008

Fu, Liang; Kane, C. L.
Physical Review Letters, Vol. 100, Issue 9
DOI: 10.1103/PhysRevLett.100.096407

Generic New Platform for Topological Quantum Computation Using Semiconductor Heterostructures
journal, January 2010

Sau, Jay D.; Lutchyn, Roman M.; Tewari, Sumanta
Physical Review Letters, Vol. 104, Issue 4
DOI: 10.1103/PhysRevLett.104.040502

Structure, and magnetic and electrochemical properties of layered oxides, Li2IrO3
journal, February 2003

Kobayashi, Hironori; Tabuchi, Mitsuharu; Shikano, Masahiro
Journal of Materials Chemistry, Vol. 13, Issue 4
DOI: 10.1039/b207282c

Effects of spin vacancies on magnetic properties of the Kitaev-Heisenberg model
journal, August 2011

Trousselet, Fabien; Khaliullin, Giniyat; Horsch, Peter
Physical Review B, Vol. 84, Issue 5
DOI: 10.1103/PhysRevB.84.054409

Antiferromagnetic Mott insulating state in single crystals of the honeycomb lattice material ${Na}_{2} {IrO}_{3}$
journal, August 2010

Singh, Yogesh; Gegenwart, P.
Physical Review B, Vol. 82, Issue 6
DOI: 10.1103/PhysRevB.82.064412

Magnetic order and paramagnetic phases in the quantum $J_{1}$ - $J_{2}$ - $J_{3}$ honeycomb model
journal, July 2011

Reuther, Johannes; Abanin, Dmitry A.; Thomale, Ronny
Physical Review B, Vol. 84, Issue 1
DOI: 10.1103/PhysRevB.84.014417

Majorana fermions in a tunable semiconductor device
journal, March 2010

Alicea, Jason
Physical Review B, Vol. 81, Issue 12
DOI: 10.1103/PhysRevB.81.125318

Quantum emulation of a spin system with topologically protected ground states using superconducting quantum circuits
journal, January 2010

You, J. Q.; Shi, Xiao-Feng; Hu, Xuedong
Physical Review B, Vol. 81, Issue 1
DOI: 10.1103/PhysRevB.81.014505

Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
journal, August 2003

Duan, L. -M.; Demler, E.; Lukin, M. D.
Physical Review Letters, Vol. 91, Issue 9
DOI: 10.1103/PhysRevLett.91.090402

Kitaev-Heisenberg Model on a Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_{2} {IrO}_{3}$
journal, July 2010

Chaloupka, Jiří; Jackeli, George; Khaliullin, Giniyat
Physical Review Letters, Vol. 105, Issue 2
DOI: 10.1103/PhysRevLett.105.027204

Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
journal, January 2009

Jackeli, G.; Khaliullin, G.
Physical Review Letters, Vol. 102, Issue 1
DOI: 10.1103/PhysRevLett.102.017205

Long-range magnetic ordering in Na $_{2}$ IrO $_{3}$
journal, June 2011

Liu, X.; Berlijn, T.; Yin, W. -G.
Physical Review B, Vol. 83, Issue 22
DOI: 10.1103/PhysRevB.83.220403

Spin Waves and Revised Crystal Structure of Honeycomb Iridate ${Na}_{2} {IrO}_{3}$
journal, March 2012

Choi, S. K.; Coldea, R.; Kolmogorov, A. N.
Physical Review Letters, Vol. 108, Issue 12
DOI: 10.1103/PhysRevLett.108.127204

Possible proximity of the Mott insulating iridate Na $_{2}$ IrO $_{3}$ to a topological phase: Phase diagram of the Heisenberg-Kitaev model in a magnetic field
journal, June 2011

Jiang, Hong-Chen; Gu, Zheng-Cheng; Qi, Xiao-Liang
Physical Review B, Vol. 83, Issue 24
DOI: 10.1103/PhysRevB.83.245104

Nonabelions in the fractional quantum hall effect
journal, August 1991

Moore, Gregory; Read, Nicholas
Nuclear Physics B, Vol. 360, Issue 2-3
DOI: 10.1016/0550-3213(91)90407-O

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Title: Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates A2IrO3

Citation Formats

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Title: Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates A₂IrO₃

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Finite-temperature phase diagram of the Heisenberg-Kitaev model
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Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect
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Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator
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Generic New Platform for Topological Quantum Computation Using Semiconductor Heterostructures
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