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J. Phys. Soc. Jpn. 81 (2012) 074707 (11 pages)  |Previous Article| |Next Article|  |Table of Contents|
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Ground State and Finite Temperature Behavior of 1/4-Filled Band Zigzag Ladders

Rudolf Torsten Clay1,2,3, Jeong-Pil Song1,2, Saurabh Dayal1,2, and Sumit Mazumdar4

1Department of Physics and Astronomy, Mississippi State University, Mississippi State, MS 39762, U.S.A.
2HPC Center for Computational Sciences, Mississippi State University, Mississippi State, MS 39762, U.S.A.
3Institute for Solid State Physics, The University of Tokyo, Kashiwa, Chiba 277-8581, Japan
4Department of Physics, University of Arizona, Tucson, AZ 85721, U.S.A.

(Received November 7, 2011; Accepted May 9, 2012; Published June 14, 2012)

We consider the simplest example of lattice frustration in the 1/4-filled band, a one-dimensional chain with next-nearest neighbor interactions. For this zigzag ladder with electron–electron as well as electron–phonon interactions we present numerical results for ground state as well as thermodynamic properties. In this system the ground state bond distortion pattern is independent of electron–electron interaction strength. The spin gap from the ground state of the zigzag ladder increases with the degree of frustration. Unlike in one-dimension, where the spin-gap and charge ordering transitions can be distinct, we show that in the ladder they occur simultaneously. We discuss spin gap and charge ordering transitions in 1/4-filled materials with one, two, or three dimensional crystal structures. We show empirically that regardless of dimensionality the occurrence of simultaneous or distinct charge and magnetic transitions can be correlated with the ground state bond distortion pattern. ©2012 The Physical Society of Japan

URL: http://jpsj.ipap.jp/link?JPSJ/81/074707/
DOI: 10.1143/JPSJ.81.074707


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References

  1. Frustrated Spin Systems, ed. H. Diep (World Scientific, Singapore, 2004).
  2. Introduction to Frustrated Magnetism, ed. C. Lacroix, P. Mendels, and F. Mila (Springer, Berlin, 2011).
  3. C. K. Majumdar and D. K. Ghosh: J. Math. Phys. (N.Y.) 10 (1969) 1388[AIP Scitation].
  4. C. K. Majumdar and D. K. Ghosh: J. Math. Phys. (N.Y.) 10 (1969) 1399[AIP Scitation].
  5. K. Okamoto and K. Nomura: Phys. Lett. A 169 (1992) 433[CrossRef].
  6. R. Chitra, S. Pati, H. R. Krishnamurthy, D. Sen, and S. Ramasesha: Phys. Rev. B 52 (1995) 6581[APS].
  7. B. S. Shastry and B. Sutherland: Phys. Rev. Lett. 47 (1981) 964[APS].
  8. E. Sorensen, I. Affleck, D. Augier, and D. Poilblanc: Phys. Rev. B 58 (1998) R14701[APS].
  9. S. R. White and I. Affleck: Phys. Rev. B 54 (1996) 9862[APS].
  10. C. Itoi and S. Qin: Phys. Rev. B 63 (2001) 224423[APS].
  11. M. Kumar, Z. G. Soos, D. Sen, and S. Ramasesha: Phys. Rev. B 81 (2010) 104406[APS].
  12. H. Kino and H. Fukuyama: J. Phys. Soc. Jpn. 64 (1995) 2726[JPSJ].
  13. K. Kanoda: J. Phys. Soc. Jpn. 75 (2006) 051007[JPSJ].
  14. B. J. Powell and R. H. McKenzie: Rep. Prog. Phys. 74 (2011) 056501[IoP STACKS].
  15. H. Li, R. T. Clay, and S. Mazumdar: J. Phys.: Condens. Matter 22 (2010) 272201[IoP STACKS].
  16. S. Dayal, R. T. Clay, H. Li, and S. Mazumdar: Phys. Rev. B 83 (2011) 245106[APS].
  17. J. Merino, H. Seo, and M. Ogata: Phys. Rev. B 71 (2005) 125111[APS].
  18. R. T. Clay and S. Mazumdar: Phys. Rev. Lett. 94 (2005) 207206[APS].
  19. K. C. Ung, S. Mazumdar, and D. Toussaint: Phys. Rev. Lett. 73 (1994) 2603[APS].
  20. M. Kuwabara, H. Seo, and M. Ogata: J. Phys. Soc. Jpn. 72 (2003) 225[JPSJ].
  21. R. T. Clay, S. Mazumdar, and D. K. Campbell: Phys. Rev. B 67 (2003) 115121[APS].
  22. R. T. Clay, R. P. Hardikar, and S. Mazumdar: Phys. Rev. B 76 (2007) 205118[APS].
  23. K. Yoshimi, H. Seo, S. Ishibashi, and S. E. Brown: Phys. Rev. Lett. 108 (2012) 096402[APS].
  24. S. Mazumdar, R. T. Clay, and D. K. Campbell: Phys. Rev. B 62 (2000) 13400[APS].
  25. Y. Otsuka, H. Seo, Y. Motome, and T. Kato: J. Phys. Soc. Jpn. 77 (2008) 113705[JPSJ].
  26. A. Sandvik and G. Vidal: Phys. Rev. Lett. 99 (2007) 220602[APS].
  27. S. R. White: Phys. Rev. Lett. 69 (1992) 2863[APS].
  28. S. R. White: Phys. Rev. B 48 (1993) 10345[APS].
  29. J. E. Hirsch and D. J. Scalapino: Phys. Rev. B 29 (1984) 5554[APS].
  30. E. Y. Loh, Jr. and J. E. Gubernatis: in Electronic Phase Transitions, ed. W. Hanke and Y. V. Kopaev (Elsevier, Amsterdam, 1992) p. 177.
  31. T. Ishiguro, K. Yamaji, and G. Saito: Organic Superconductors (Springer, New York, 1998).
  32. E. Dagotto and T. M. Rice: Science 271 (1996) 618[Science].
  33. C. Rovira: Chem.–Eur. J. 6 (2000) 1723.
  34. E. Ribera, C. Rovira, J. Veciana, J. Tarreés, E. Canadell, R. Rousseau, E. Molins, M. Mas, J. P. Schoeffel, J. P. Pouget, J. Morgado, R. T. Henriques, and M. Almeida: Chem.–Eur. J. 5 (1999) 2025.
  35. R. Wesolowski, J. T. Haraldsen, J. L. Musfeldt, T. Barnes, M. Mas-Torrent, C. Rovira, R. T. Henriques, and M. Almeida: Phys. Rev. B 68 (2003) 134405[APS].
  36. X. Ribas, M. Mas-Torrent, A. Prez-Bentez, J. C. Dias, H. Alves, E. B. Lopes, R. T. Henriques, E. Molins, I. C. Santos, K. Wurst, P. Foury-Leylekian, M. Almeida, J. Veciana, and C. Rovira: Adv. Funct. Mater. 15 (2005) 1023.
  37. J. L. Musfeldt, S. Brown, S. Mazumdar, R. Clay, M. Mas-Torrent, C. Rovira, J. C. Dias, R. T. Henriques, and M. Almeida: Solid State Sci. 10 (2008) 1740.
  38. J. P. Pouget: Semiconductors and Semimetals (Academic, New York, 1988) Vol. 27, p. 87.
  39. D. Arčon, A. Lappas, S. Margadonna, K. Prassides, E. Ribera, J. Veciana, C. Rovira, R. T. Henriques, and M. Almeida: Phys. Rev. B 60 (1999) 4191[APS].
  40. T. Mori: Bull. Chem. Soc. Jpn. 72 (1999) 2011[CrossRef].
  41. T. Nakamura, K. Furukawa, and T. Hara: J. Phys. Soc. Jpn. 76 (2007) 064715[JPSJ].
  42. S. Huizinga, J. Kommandeur, G. A. Sawatzky, B. T. Thole, K. Kopinga, W. J. M. de Jonge, and J. Roos: Phys. Rev. B 19 (1979) 4723[APS].
  43. R. J. J. Visser, S. Oostra, C. Vettier, and J. Voiron: Phys. Rev. B 28 (1983) 2074[APS].
  44. F. Nad and P. Monceau: J. Phys. Soc. Jpn. 75 (2006) 051005, [JPSJ]and references therein.
  45. H. Mori, S. Tanaka, and T. Mori: Phys. Rev. B 57 (1998) 12023[APS].
  46. K. Miyagawa, A. Kawamoto, and K. Kanoda: Phys. Rev. B 62 (2000) R7679[APS].
  47. M. Watanabe, Y. Noda, Y. Nogami, and H. Mori: J. Phys. Soc. Jpn. 73 (2004) 116[JPSJ].
  48. M. Watanabe, Y. Noda, Y. Nogami, and H. Mori: J. Phys. Soc. Jpn. 76 (2007) 124602[JPSJ].
  49. R. Kato: J. Am. Chem. Soc. 128 (2006) 10016[CrossRef].
  50. M. Tamura, A. Nakao, and R. Kato: J. Phys. Soc. Jpn. 75 (2006) 093701[JPSJ].
  51. H. Nishikawa, T. Morimoto, T. Kodama, I. Ikemoto, K. Kikuchi, J. Yamada, H. Yoshino, and K. Murata: J. Am. Chem. Soc. 124 (2002) 730[CrossRef].
  52. H. Nishikawa, Y. Sato, K. Kikuchi, T. Kodama, I. Ikemoto, J. Yamada, H. Oshio, R. Kondo, and S. Kagoshima: Phys. Rev. B 72 (2005) 052510[APS].
  53. H.-P. Werner, J. U. von Schütz, H. C. Wolf, R. Kremer, M. Gehrke, A. Aumüller, P. Erk, and S. Hünig: Solid State Commun. 65 (1988) 809[CrossRef].
  54. M. Isobe and Y. Ueda: J. Phys. Soc. Jpn. 65 (1996) 1178[JPSJ].
  55. B. Rothaemel, L. Forró, J. Cooper, J. Schilling, M. Weger, P. Bele, H. Brunner, D. Schweitzer, and H. Keller: Phys. Rev. B 34 (1986) 704[APS].
  56. T. Kakiuchi, Y. Wakabayashi, H. Sawa, T. Takahashi, and T. Nakamura: J. Phys. Soc. Jpn. 76 (2007) 113702[JPSJ].
  57. T. Ise, T. Mori, and K. Takahashi: J. Mater. Chem. 11 (2001) 264.
  58. M. Uruichi, K. Yakushi, T. Shirahata, K. Takahashi, T. Mori, and T. Nakamura: J. Mater. Chem. 12 (2002) 2696.
  59. M. Uruichi, K. Yakushi, T. Shirahata, and K. Takahashi: Synth. Met. 133–134 (2003) 407[CrossRef].
  60. P. G. Radaelli, Y. Horibe, M. J. Gutmann, H. Ishibashi, C. H. Chen, R. M. Ibberson, Y. Koyama, Y.-S. Hor, V. Kiryukhin, and S.-W. Cheong: Nature 416 (2002) 155[CrossRef].
  61. D. I. Khomskii and T. Mizokawa: Phys. Rev. Lett. 94 (2005) 156402[APS].
  62. A. Ota, H. Yamochi, and G. Saito: J. Mater. Chem. 12 (2002) 2600.
  63. O. Drozdova, K. Yakushi, K. Yamamoto, A. Ota, H. Hideki, Y. Yamochi, G. Saito, H. Tashiro, and D. B. Tanner: Phys. Rev. B 70 (2004) 075107[APS].
  64. D. S. Chow, F. Zamborszky, B. Alavi, D. J. Tantillo, A. Baur, C. A. Merlic, and S. E. Brown: Phys. Rev. Lett. 85 (2000) 1698[APS].
  65. P. Foury-Leylekian, D. L. Bolloc'h, B. Hennion, S. Ravy, A. Moradpour, and J.-P. Pouget: Phys. Rev. B 70 (2004) 180405, [APS]and references therein.
  66. S. Fujiyama and T. Nakamura: J. Phys. Soc. Jpn. 75 (2006) 014705[JPSJ].
  67. Y. Shimizu, H. Akimoto, H. Tsujii, A. Tajima, and R. Kato: Phys. Rev. Lett. 99 (2007) 256403[APS].
  68. M. V. Mostovoy and D. I. Khomskii: Solid State Commun. 113 (2009) 159[CrossRef].
  69. B. Edegger, H. G. Evertz, and R. M. Noack: Phys. Rev. Lett. 96 (2006) 146401[APS].
  70. S. Mazumdar and R. T. Clay: Phys. Rev. B 77 (2008) 180515[APS](R).
  71. A. S. Alexandrov and N. F. Mott: High Temperature Superconductors and Other Superfluids (Taylor and Francis, London, 1994).
  72. S. Östlund and S. Rommer: Phys. Rev. Lett. 75 (1995) 3537[APS].
  73. N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac: Phys. Rev. Lett. 100 (2008) 040501[APS].
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