Classical topological order in kagome ice

Journal of Physics Condensed Matter

Volumn 23, Issue 16, 2011, Pages

  MacDonald, Andrew J ^a   Holdsworth, Peter C W ^b   Melko, Roger G ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

^b UNIVERSITÉ DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

GROUND STATE; INTELLIGENT SYSTEMS; MONTE CARLO METHODS;

LOCAL LOOPS; LOCAL PROBES; MAGNETIC SPIN; NEAREST NEIGHBOUR; PERIODIC BOUNDARIES; RELATED SYSTEMS; TOPOLOGICAL ORDER; TOROIDAL GEOMETRY;

TOPOLOGY;

EID: 79954505433     PISSN: 09538984     EISSN: 1361648X     Source Type: Journal    
DOI: 10.1088/0953-8984/23/16/164208     Document Type: Article

References (25)

1. 4 and superconductivity Science 235 1196
2. Balents L 2010 Spin liquids in frustrated magnets Nature 464 199
3. Wen X-G 2002 Quantum orders and symmetric spin liquids Phys. Rev. B 65 165113
4. Henley C L 1997 Relaxation time for a dimer covering with height representation J. Stat. Phys. 89 485
5. Castelnovo C and Chamon C 2007 Topological order and topological entropy in classical systems Phys. Rev. B 76 174416
6. 7 under a magnetic field J. Phys.: Condens. Matter 14 L559
7. 7 J. Phys.: Condens. Matter 16 S679
8. Isakov S V, Raman K S, Moessner R and Sondhi S L 2004 Magnetization curve of spin ice in a [111] magnetic field Phys. Rev. B 70 104418
9. Castelnovo C, Moessner R and Sondhi S L 2008 Magnetic monopoles in spin ice Nature 451 42
10. Villain J 1979 Insulating spin glasses Z. Phys. B 33 31
11. Wills A S, Ballou R and Lacroix C 2002 Model of localized highly frustrated ferromagnetism: the kagomé spin ice Phys. Rev. B 66 144407
12. Kano K and Naya S 1953 Antiferromagnetism. The kagome Ising net Prog. Theor. Phys. 10 158
13. Moessner R and Sondhi S L 2001 Ising models of quantum frustration Phys. Rev. B 63 224401
14. Moessner R, Sondhi S L and Fradkin E 2001 Short-ranged resonating valence bond physics, quantum dimer models, and Ising gauge theories Phys. Rev. B 65 024504
15. Moessner R and Sondhi S L 2003 Theory of the [111] magnetization plateau in spin ice Phys. Rev. B 68 064411
16. Huse D A, Krauth W, Moessner R and Sondhi S L 2003 Coulomb and liquid dimer models in three dimensions Phys. Rev. Lett. 91 167004
17. Rokshar D S and Kivelson S A 1988 Superconductivity and the quantum hard-core dimer gas Phys. Rev. Lett. 61 2376
18. Melko R G, den Hertog B C and Gingras M J P 2001 Long-range order at low temperatures in dipolar spin ice Phys. Rev. Lett. 87 067203
19. Melko R G and Gingras M J P 2004 Monte Carlo studies of the dipolar spin ice model J. Phys.: Condens. Matter 16 R1277
20. Fennell T, Bramwell S T, Mcmorrow D F, Manuel P and Wildes A R 2007 Pinch points and kasteleyn transitions in kagome ice Nat. Phys. 3 566
21. Jaubert L 2009 Topological constraints and defects in spin ice PhD Thesis Laboratoire de Physique, ENS Lyon, France
22. Henry L-P 2010 Glaces artificielles bidimensionnelles:état fondamental et thermodynamique Master's Thesis Laboratoire de Physique, ENS Lyon, France
23. Ladak S, Read D E, Perkins G K, Cohen L F and Branford W R 2010 Direct observation of magnetic monopole defects in an artificial spin-ice system Nature Phys. 6 359
24. Mengotti E, Heydermann L J, Rodriguez A F, Nolting F, Hügli R V and Braun H-B 2010 Real-space observation of emergent magnetic monopoles and associated dirac strings in artificial kagome spin ice Nature Phys. 7 68
25. Chern G-W, Mellado P and Tchernyshyov O 2009 Two-stage ordering of spins in dipolar spin ice on kagome arXiv:0906.4781v1