Characterization of a quasi-one-dimensional spin-1/2 magnet which is gapless and paramagnetic for (formula presented) and (formula presented)

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 2, 1999, Pages 1008-1015

  Oshikawa, M ^c   Turnbull, M M ^b   Landee, C P ^b  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b CLARK UNIVERSITY   (United States)

^c TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001432363     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.1008     Document Type: Article

References (43)

1. S. Chakravarty, B. I. Halperin, and D. R. Nelson, Phys. Rev. B 39, 2344 (1989).
2. S. Sachdev, in Dynamical Properties of Unconventional Magnetic Systems, Vol. 349 of NATO Advanced Study Institute, Series E: Applied Sciences, edited by A. T. Skjeltorp and D. Sherrington (Kluwer Academic, Dordrecht, 1998).
3. G. Aeppli and C. Broholm, in Handbook on the Physics and Chemistry of Rare Earths, edited by K. A. Gschneidner, Jr., L. Eyring, G. H. Lander, and G. R. Choppin (Elsevier, Amsterdam, 1994), Vol. 19, Chap. 131, p. 123.
4. V. J. Emery and S. A. Kivelson, Physica C 263, 44 (1996).
5. C. Castellani, C. Di Castro, and M. Grilli, J. Supercond. 9, 413 (1996).
6. S. R. Julian, F. V. Carter, F. M. Grosche, R. K. W. Haselwimmer, S. J. Lister, N. D. Mathur, G. J. McMullan, C. Pfleiderer, S. S. Saxena, I. R. Walker, N. J. W. Wilson, and G. G. Lonzarich, J. Magn. Magn. Mater. 177-181, 265 (1998).
7. N. M. Bogoliubov, A. G. Izergin, and V. E. Korepin, Nucl. Phys. B 275, 687 (1986).
8. A. Fledderjohann, C. Gerhardt, K. H. Mütter, A. Schmitt, and M. Karbach, Phys. Rev. B 54, 7168 (1997).
9. J. F. Audet, A. Fledderjohann, C. Gerhardt, M. Karbach, H. Kroeger, K. H. Mütter, and M. Schmidt, in Theory of Spin Lattices and Lattice Gauge Models, Proceedings of the 165th WE-Heraeus-Seminar, edited by J. W. Clark and M. L. Ristig (Springer-Verlag, Berlin, 1997), p. 41.
10. M. Karbach, G. Muller, A. H. Bougourzi, A. Fledderjohann, and K. H. Mütter, Phys. Rev. B 55, 12 510 (1997).
11. G. Müller, H. Thomas, H. Beck, and J. C. Bonner, Phys. Rev. B 24, 1429 (1981).
12. L. Fadeev, in Recent Advances in Field Theory and Statistical Physics, Proceedings of the Les Houches Summer School of Theoretical Physics, Les Houches, 1982, Session XXXIX, edited by L. B. Zuber and R. Stora (North-Holland, Amsterdam, 1984);J. Lowenstein, ibid.
13. A. M. Tsvelik, Quantum Field Theory in Condensed Matter Physics (Cambridge University Press, Cambridge, 1995).
14. I. U. Heilmann, G. Shirane, Y. Endoh, R. J. Birgeneau, and S. L. Holt, Phys. Rev. B 18, 3530 (1978).
15. D. A. Tennant, T. G. Perring, R. A. Cowley, and S. E. Nagler, Phys. Rev. Lett. 70, 4003 (1993).
16. R. Coldea, D. A. Tennant, R. A. Cowley, D. F. McMorrow, B. Dorner, and Z. Tylczynski, Phys. Rev. Lett. 79, 151 (1997).
17. D. C. Dender, D. Davidović, D. H. Reich, C. Broholm, K. Lefmann, and G. Aeppli, Phys. Rev. B 53, 2583 (1996).
18. D. C. Dender, P. R. Hammar, D. H. Reich, C. Broholm, and G. Aeppli, Phys. Rev. Lett. 79, 1750 (1997).
19. M. Oshikawa and I. Affleck, Phys. Rev. Lett. 79, 2883 (1997).
20. F. H. L. Essler and A. M. Tsvelik, Phys. Rev. B 57, 10 592 (1998).
21. D. B. Losee, H. W. Richardson, and W. E. Hatfield, J. Chem. Phys. 59, 3600 (1973).
22. G. Mennenga, L. J. de Jongh, W. J. Huiskamp, and J. Reedijk, J. Magn. Magn. Mater. 44, 89 (1984).
23. J. Villain and J. M. Loveluck, J. Phys. (France) Lett. 38, L77 (1977).
24. A. Santoro, A. D. Mighell, and C. W. Reimann, Acta Crystallogr., Sect. B: Struct. Crystallogr. Cryst. Chem. 26, 9979 (1970).
25. K. T. McGregor and S. G. Soos, J. Chem. Phys. 64, 2506 (1976).
26. Structural determination parameters: (Formula presented) at (Formula presented) Z = 2, space group (Formula presented) A total of 888 reflections were observed, of which 619 were unique. (Formula presented) based on the 541 reflections with (Formula presented) based on all unique reflections.
27. H. W. Richardson and W. E. Hatfield, J. Am. Chem. Soc. 98, 835 (1976).
28. R. Bachmann, F. J. DiSalvo, T. H. Geballe, R. L. Greene, R. E. Howard, C. N. King, H. C. Kirsch, K. N. Lee, R. E. Schwall, H-U. Thomas, and R. B. Zubeck, Rev. Sci. Instrum. 43, 205 (1972).
29. P. R. Hammar, Ph.D. thesis, Johns Hopkins University, 1998.
30. H. Mollymoto, E. Fujiwara, M. Motokawa, and M. Date, J. Phys. Soc. Jpn. 48, 1771 (1980).
31. R. B. Griffiths, Phys. Rev. A 133, A768 (1964).
32. J. C. Bonner and M. E. Fisher, Phys. Rev. 135, A640 (1964).
33. This was actually a three-parameter fit. In addition to J it was necessary to include offsets to account for small, field-independent backgrounds arising from offset voltages in the measuring electronics. These backgrounds are (Formula presented) and (Formula presented) for the (Formula presented) and 4.2 K data, respectively.
34. H. W. J. Blöte, J. L. Cardy, and M. P. Nightingale, Phys. Rev. Lett. 56, 742 (1986).
35. I. Affleck, Phys. Rev. Lett. 56, 746 (1986).
36. M. Takahashi, Prog. Theor. Phys. 50, 1519 (1973).
37. J. D. Johnson and B. M. McCoy, Phys. Rev. A 6, 1613 (1972).
38. V. E. Korepin, N. M. Bogoliubov, and A. G. Izergin, Quantum Inverse Scattering Method and Correlation Functions (Cambridge University Press, Cambridge, 1993), and references therein.
39. A. J. Freeman and R. E. Watson, Acta Crystallogr. 14, 231 (1961).
40. We use the notation of S. W. Lovesey, Theory of Neutron Scattering from Condensed Matter (Clarendon Press, Oxford, 1984).
41. N. D. Chesser and J. D. Axe, Acta Crystallogr., Sect. A: Cryst. Phys., Diffr., Theor. Gen. Crystallogr. 29, 160 (1973).
42. A. H. Bougourzi, M. Couture, and M. Kacir, Phys. Rev. B 54, R12 669 (1997).
43. A. Abada, A. H. Bougourzi, and B. Si-Lakhal, Nucl. Phys. B 497, 733 (1997).