Magnetic ordering of weakly coupled frustrated quantum spin chains

Physical Review B - Condensed Matter and Materials Physics

Volumn 78, Issue 1, 2008, Pages

  Zvyagin, A A ^a,b   Drechsler, S L ^c  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b B VERKIN INSTITUTE FOR LOW TEMPERATURE PHYSICS AND ENGINEERING   (Ukraine)

^c IFW DRESDEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 48749123425     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.014429     Document Type: Article

References (43)

1. See, e.g., A. A. Zvyagin, Finite Size Effects in Correlated Electron Models: Exact Results (Imperial College, London, 2005).
2. N. D. Mermin and H. Wagner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.17.1133 17, 1133 (1966).
3. C. K. Majumdar and D. K. Ghosh, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1664978 10, 1388 (1969).
4. K. Okamoto and K. Nomura, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(92)90823-5 169, 433 (1992).
5. Here we ignore the possibility of a spin-Peierls transition related to distant dependent intrachain exchange integrals and a soft enough lattice. In this case (corresponding roughly speaking to the condensation of singlets on short bonds of a dimerized chain) no local magnetization occurs below the phase transition and in that sense there is also no magnetic ordering. The dimerization is strongly supported by J2 <0.7 J1.
6. M. Matsuda and K. Katsumata, J. Magn. Magn. Mater. JMMMDC 0304-8853 140-144, 1671 (1995)
7. H. Kikuchi, H. Hagasawa, Y. Ajiro, T. Asano, and T. Goto, Physica B (Amsterdam) 284-288, 1631 (2000) 0921-4526
8. N. Maeshima, M. Hagiwara, Y. Narumi, K. Kindo, T. C. Kobayasi, and K. Okunishi, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/15/21/309 15, 3607 (2003)
9. M. Hase, K. Ozawa, and N. Shinya, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.214421 68, 214421 (2003).
10. T. Masuda, A. Zheludev, A. Bush, M. Markina, and A. Vasiliev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.039706 94, 039706 (2005)
11. S.-L. Drechsler, J. Málek, J. Richter, A. S. Moskvin, A. A. Gippius, and H. Rosner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 94.039705 94, 039705 (2005)
12. A. A. Gippius, E. N. Morozova, A. S. Moskvin, A. V. Zalessky, A. A. Bush, M. Baenitz, H. Rosner, and S.-L. Drechsler, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.020406 70, 020406 (R) (2004)
13. H.-A. Krug von Nidda, L. E. Svistov, M. V. Eremin, R. M. Eremina, A. Loidl, V. Kataev, A. Validov, A. Prokofiev, and W. Aßmus, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.134445 65, 134445 (2002).
14. See, e.g., G. Misguich, B. Bernu, C. Lhuillier, and C. Waldtmann, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.1098 81, 1098 (1998).
15. A. Zheludev, M. Kenzelmann, S. Raymond, E. Ressouche, T. Masuda, K. Kakurai, S. Maslov, I. Tsukada, K. Uchinokura, and A. Wildes, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.4799 85, 4799 (2000)
16. I. Tsukada, J. Takeya, T. Masuda, and K. Uchinokura, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.R6061 62, R6061 (2000)
17. M. Kohgi, K. Iwasa, J. M. Mignot, B. Fak, P. Gegenwart, M. Lang, A. Ochiai, H. Aoki, and T. Suzuki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2439 86, 2439 (2001).
18. D. J. Thouless, Proc. Phys. Soc. London PPSOAU 0370-1328 10.1088/0370-1328/86/5/301 86, 893 (1965).
19. Y. Honda, Y. Kuramoto, and T. Watanabe, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.11329 47, 11329 (1993)
20. H. J. Schmidt and Y. Kuramoto, Physica C PHYCE6 0921-4534 10.1016/0921-4534(90)90339-G 167, 263 (1990).
21. S. Brehmer, H.-J. Mikeska, M. Müller, N. Nagaosa, and S. Uchida, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.329 60, 329 (1999)
22. M. Matsuda, K. Katsumara, R. S. Eccleston, S. Brehmer, and H.-J. Mikeska, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.372676 87, 6271 (2000).
23. T. Imai, K. R. Thurber, K. M. Shen, A. W. Hunt, and F. C. Chou, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.220 81, 220 (1998)
24. R. S. Eccleston, M. Uehara, J. Akimitsu, H. Eisaki, N. Motoyama, and S. I. Uchida, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.1702 81, 1702 (1998)
25. M. Windt, M. Grüninger, T. Nunner, C. Knetter, K. P. Schmidt, G. S. Uhrig, T. Kopp, A. Freimuth, U. Ammerahl, B. Büchner, and A. Revcolevschi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.127002 87, 127002 (2001)
26. K. Magishi, S. Matsumoto, Y. Kitaoka, K. Ishida, K. Asayama, M. Uehara, T. Nagata, and J. Akimitsu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57. 11533 57, 11533 (1998).
27. See, e.g., S. Sachdev, Nat. Phys. 4, 173 (2008) 0031-9007
28. A. W. Sandvik, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98. 227202 98, 227202 (2007).
29. N. Muramoto and M. Takahashi, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.68.2098 68, 2098 (1999).
30. For a review, see A. A. Zvyagin, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/41/201 34, R21 (2001).
31. A. A. Zvyagin and A. Klümper, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.144426 68, 144426 (2003).
32. S. Lukyanov and A. Zamolodchikov, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(97)00123-5 493, 571 (1997)
33. S. Lukyanov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.11163 59, 11163 (1999)
34. S. Lukyanov and V. Terras, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(02)01141-0 654, 323 (2003).
35. H. J. Schulz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77. 2790 77, 2790 (1996)
36. I. Affleck and M. Oshikawa, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.1038 60, 1038 (1999).
37. M. Baran, V. A. Jedrzejczak, H. Szymczak, V. Maltsev, G. Kamieniarz, G. Szukowski, C. Loison, A. Ormeci, S.-L. Drechsler, and H. Rosner, Phys. Status Solidi C 3, 220 (2006). 1610-1634
38. As far as we know, this case is not yet realized among known quasi-1D spin-ladder systems, except, probably, CuGeO3, which, however, has gapped low-energy excitations and, hence, has no long-range AF ordering.
39. I. A. Zaliznyak, C. Broholm, M. Kibune, M. Nohara, and H. Takagi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.5370 83, 5370 (1999).
40. G. J. Nilsen, H. M. Ronnow, A. M. Läuchli, F. P. A. Fabbiani, J. Sanchez-Benitez, K. V. Kamenev, and A. Harrison, Chem. Mater. CMATEX 0897-4756 10.1021/cm7023263 20, 8 (2008).
41. S.-L. Drechsler, O. Volkova, A. N. Vasiliev, N. Tristan, J. Richter, M. Schmitt, H. Rosner, J. Málek, R. Klingeler, A. A. Zvyagin, and B. Büchner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.077202 98, 077202 (2007).
42. Y. Tarui, Y. Kobayashi, and M. Sato, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.77.043703 77, 043703 (2008).
43. R. Zinke, S.-L. Drechsler, and J. Richter (unpublished).