Pinch points and Kasteleyn transitions in kagome ice

Nature Physics

Volumn 3, Issue 8, 2007, Pages 566-572

  Fennell, T ^a,b   Bramwell, S T ^a,b   McMorrow, D F ^a,b,c   Manuel, P ^c   Wildes, A R ^d  

^a LONDON CENTRE FOR NANOTECHNOLOGY   (United Kingdom)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

^c RUTHERFORD APPLETON LABORATORY   (United Kingdom)

^d INSTITUT LAUE LANGEVIN   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; MAGNETIC FIELDS; NEUTRON SCATTERING;

APPLIED MAGNETIC FIELDS; CRYSTALLOGRAPHIC AXIS; MICROSCOPIC LEVELS; NEUTRON SCATTERING EXPERIMENTS; POWER-LAW CORRELATIONS; SPIN CORRELATIONS; STATISTICAL SYSTEMS; ZERO-POINT ENTROPY;

ICE;

EID: 34547630653     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys632     Document Type: Article

References (42)

1. 7 . Phys. Rev. Lett. 79, 2554-2557 (1997).
2. Ramirez, A. P., Hayashi, A., Cava, R J., Siddharthan, R. & Shastry, B. S. Zero-point entropy in 'spin ice'. Nature 399, 333-335 (1999).
3. Snyder, J., Slusky, J. S., Cava, R J. & Schiffer, P. How 'spin ice' freezes. Nature 413, 48-51 (2001).
4. 7 . J. Phys. Condens. Matter 14, L559-L565 (2002).
5. 7 in a magnetic field. Phys. Rev. Lett. 90, 207205 (2003).
6. 7 . Phys. Rev. Lett. 95, 237208 (2005).
7. Pauling, L. The structure and entropy of ice and of other crystals with some randomness of atomic arrangement. J. Am. Chem. Soc. 57, 2680-2684 (1935).
8. Isakov, S. V., Raman, K. S., Moessner, R & Sondhi, S. L. Magnetization curve of spin ice in a [111] magnetic field. Phys. Rev. B 70, 104418 (2004).
9. 7 in a [111] magnetic field. J. Phys. Soc. Japan 73, 2851-2856 (2004).
10. Bonner, J. C. & Fisher, M. E. Entropy of an antiferromagnet in a magnetic field. Proc Phys. Soc. 80, 508-515 (1962).
11. 7 . Phys. Rev. Lett 97, 257205 (2006).
12. den Hertog, B. C. & Gingras, M. J. P. Dipolar interactions and origin of spin ice in ising pyrochlore magnets. Phys. Rev. Lett. 84, 3430-3433 (2000).
13. Melko, R G. & Gingras, M. J. P. Monte Carlo studies of the dipolar spin ice model. J. Phys. Condens. Matter 16, R1277-R1319 (2004).
14. Isakov, S. V., Gregor, K., Moessner, R & Sondhi, S. L. Dipolar spin correlations in classical pyrochlore magnets. Phys. Rev. Lett. 93, 167204 (2004).
15. Isakov, S. V., Moessner, R. & Sondhi, S. L. Why spin ice obeys the ice rules. Phys. Rev. Lett. 95, 217201 (2005).
16. Anderson, P. W. Ordering and antiferromagnetism in ferrites. Phys. Rev. 102, 1008-1013 (1956).
17. Henley, C. L. Power-law spin correlations in pyrochlore antiferromagnets. Phys. Rev. B 71, 014424 (2005).
18. Youngblood, R. W. & Axe, J. D. Polarization fluctuations in ferroelectric models. Phys. Rev. B 23, 232-238 (1981).
19. 4 . Phys. Rev. B 1, 278-286 (1970).
20. Harris, M. J., Zinkta, M. P., Tun, Z., Wanklyn, B. M. & Swainson, I. P. Magnetic structure of the spin-liquid state in a frustrated pyrochlore. Phys. Rev. Lett. 73, 189-192 (1994).
21. 2 : A geometrically frustrated, nearly antiferromagnetic, itinerant electron system. Phys. Rev. Lett. 76, 2125-2128 (1996).
22. 7 : A dipolar spin ice. Phys. Rev. Lett. 87, 047205 (2001).
23. 7 . Phys. Rev. B 70, 134408 (2004).
24. Moessner, R. & Sondhi, S. L. Theory of the [111] magnetization plateau in spin ice. Phys. Rev. B 68, 064411 (2003).
25. Kasteleyn, P. W. Dimer statistics and phase transitions. J. Math. Phys. 4, 287-293 (1963).
26. Yokoi, C. S. O., Nagle, J. F. & Salinas, S. R. Dimer pair corrdations on the brick lattice. J. Stat Phys. 44, 729-747 (1986).
27. Collins, M. F. Magnetic Critical Scattering (Oxford Univ. Press, Oxford, 1989).
28. 7 . Phys. Rev. B 68, 012406 (2003).
29. 7 in applied magnetic field. Phys. Rev. B 72, 224411 (2005).
30. Hiroi, Z., Matsuhira, K. & Ogata, M. Ferromagnetic Ising spin chains emerging from the spin ice under magnetic field. J. Phys. Soc. Japan 72, 3045-3048 (2003).
31. 7 . Phys. Rev. Lett. 94, 246402 (2005).
32. 7 . Phys. Rev. Lett. 82, 1012-1015 (1999).
33. Lee, S.-H. et al. Emergent exdtations in a geometrically frustrated antiferromagnet. Nature 418, 856-858 (2002).
34. Lau, G. C. et al. Zero-point entropy in stuffed spin-ice. Nature Phys. 2, 249-253 (2006).
35. Taguchi, Y., Oohara, Y., Yoshizawa, H., Nagaosa, N. & Tokura, Y. Spin chirality, Berryphase and anomalous Hall effect in a frustrated ferromagnet. Science 291, 2573-2576 (2001).
36. Wang, R. F. et al. Artrfidal 'spin ice' in a geometrically frustrated lattice of nanoscale ferromagnetic islands. Nature 439, 303-306 (2006).
37. Castro Neto, A. H., Pujol, P. & Fradkin, E. Ice: A strongly corrdated proton system. Phys. Rev. B 74, 024302 (2006).
38. Limdette, P. et al. Universality and critical behaviour at the Mott transition. Science 302, 89-92 (2003).
39. Kutnjak, Z., Petzdt, J. & Blinc, R. The giant electromechanical response in ferroelectric relaxors as a critical phenomenon. Nature 441, 956-959 (2006).
40. Isakov, S. V., Wessd, S., Melko, R. G., Sengupta, K. & Kim, Y B. Valence bond solids and their quantum melting in hard core bosons on the kagome lattice. Phys. Rev. Lett. 97, 147202 (2006).
41. Wanklyn, B. M. Flux growth of some complex oxide materials. J. Mater. Sci. 7, 813-821 (1972).
42. Bramwell, S. T., Field, M. N., Harris, M. J. & Parkin, I. P. Bulk magnetization of the heavy rare earth pyrochlores - a series of model frustrated magnets. J. Phys. Condens. Matter 12, 483-495 (2000).