Possible Singlet--Triplet Transition of ESR in the Kagome-Lattice Antiferromagnet
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Abstract
The S = 1/2 kagome-lattice antiferromagnet is investigated by the numerical diagonalization of 18-spin finite-size cluster. The matrix elements proportional to the intensity of the singlet--triplet electron spin resonance (ESR) transition are calculated in the presence of the Dzyaloshinsky--Moriya interaction. Some angle-dependent selection rules are also proposed. The present result would be useful to examine whether the kagome-lattice antiferromagnet has a spin gap or not, with the ESR experiment.
Keywords
Electron Spin Resonance Electron Spin Resonance Measurement Singlet Ground State Electron Spin Resonance Experiment Electron Spin Resonance IntensityNotes
Acknowledgments
This work has been partly supported by Grants-in-Aids for Scientific Research (B) (no. 23340109) and (C) (nos. 24540348 and 26400387) from the Ministry of Education, Culture, Sports, Science and Technology of Japan (MEXT). We further thank the Supercomputer Center, Institute for Solid State Physics, University of Tokyo; the Cyberscience Center, Tohoku University; and the Computer Room, Yukawa Institute for Theoretical Physics, Kyoto University; the Department of Simulation Science, National Institute for Fusion Science; Center for Computational Materials Science, Institute for Materials Research, Tohoku University; Supercomputing Division, Information Technology Center, The University of Tokyo for computational facilities. This work was partly supported by the Strategic Programs for Innovative Research, MEXT, and the Computational Materials Science Initiative, Japan. The authors would like to express their sincere thanks to the staff members of the Center for Computational Materials Science of the Institute for Materials Research, Tohoku University for their continuous support of the SR16000 supercomputing facilities.
References
- 1.T.M. Rice, S. Gopalan, M. Sigrist, Europhys. Lett. 23, 445 (1993)CrossRefADSGoogle Scholar
- 2.M. Hase, I. Terasaki, K. Uchinokura, Phys. Rev. Lett. 70, 3651 (1993)CrossRefADSGoogle Scholar
- 3.F.D.M. Haldane, Phys. Lett. 93A, 464 (1983)MathSciNetCrossRefADSGoogle Scholar
- 4.F.D.M. Haldane, Phys. Rev. Lett. 50, 1153 (1983)MathSciNetCrossRefADSGoogle Scholar
- 5.Y. Ajiro, T. Goto, H. Kikuchi, T. Sakakibara, T. Inami, Phys. Rev. Lett. 63, 1424 (1989)CrossRefADSGoogle Scholar
- 6.K. Katsumata, H. Hori, T. Takeuchi, M. Date, A. Yamagishi, J.P. Renard, Phys. Rev. Lett. 63, 86 (1989)CrossRefADSGoogle Scholar
- 7.W. Lu, J. Tuchendler, M. von Ortenberg, J.P. Renard, Phys. Rev. Lett. 67, 3716 (1991)CrossRefADSGoogle Scholar
- 8.W. Palme, H. Kriegelstein, B. Luthi, T.M. Brill, T. Yoshida, M. Dat, Int. J. Mod. Phys. B 7, 1016 (1993)CrossRefADSGoogle Scholar
- 9.H. Nojiri, H. Ohta, S. Okubo, O. Fujita, J. Akimitsu, M. Motokawa, J. Phys. Soc. Jpn. 68, 3417 (1999)CrossRefADSGoogle Scholar
- 10.T. Sakai, H. Shiba, J. Phys. Soc. Jpn. 63, 867 (1994)CrossRefADSGoogle Scholar
- 11.T. Sakai, O. Cepas, T. Ziman, J. Phys. Soc. Jpn. 69, 3521 (2000)CrossRefADSGoogle Scholar
- 12.T. Sakai, J. Phys. Soc. Jpn. 72(Suppl. B), 53 (2003)CrossRefADSGoogle Scholar
- 13.H. Kageyama, K. Yoshimura, R. Stern, N.V. Mushnikov, K. Onizuka, M. Kato, K. Kosuge, C.P. Slichter, T. Goto, Y. Ueda, Phys. Rev. Lett. 82, 3168 (1999)CrossRefADSGoogle Scholar
- 14.H. Nojiri, H. Kageyama, K. Onizuka, Y. Ueda, M. Motokawa, J. Phys. Soc. Jpn. 68, 2906 (1999)CrossRefADSGoogle Scholar
- 15.O. Cepas, K. Kakurai, L.P. Regnault, T. Ziman, J.P. Boucher, N. Aso, M. Nishi, H. Kageyama, Y. Ueda, Phys. Rev. Lett. 87, 167205 (2001)CrossRefADSGoogle Scholar
- 16.P. Shores, E.A. Nytko, B.M. Barlett, D.G. Nocera, J. Am. Chem. Soc. 127, 13462 (2005)CrossRefGoogle Scholar
- 17.H. Yoshida, Y. Okamoto, T. Tayama, T. Sakakibara, M. Tokunaga, A. Matsuo, Y. Narumi, K. Kindo, M. Yoshida, M. Takigawa, Z. Hiroi, J. Phys. Soc. Jpn. 78, 043704 (2009)CrossRefADSGoogle Scholar
- 18.Y. Okamoto, H. Yoshida, Z. Hiroi, J. Phys. Soc. Jpn. 78, 033701 (2009)CrossRefADSGoogle Scholar
- 19.Y. Ran, M. Hermele, P.A. Lee, X.-G. Wen, Phys. Rev. Lett. 98, 117205 (2007)CrossRefADSGoogle Scholar
- 20.H.C. Jiang, Z.Y. Weng, D.N. Sheng, Phys. Rev. Lett. 98, 117203 (2008)CrossRefADSGoogle Scholar
- 21.P. Sindzingre, C. Lhuillier, Europhys. Lett. 88, 27009 (2009)CrossRefADSGoogle Scholar
- 22.O. Cepas, C.M. Fong, P.W. Leung, C. Lhuillier, Phys. Rev. B 78, 140405(R) (2008)CrossRefADSGoogle Scholar
- 23.G. Evenbly, G. Vidal, Phys. Rev. Lett. 104, 187203 (2010)CrossRefADSGoogle Scholar
- 24.A.M. Läuchli, J. Sudan, E.S. Sorensen, Phys. Rev. B 83, 21241 (2011)CrossRefGoogle Scholar
- 25.Y. Iqbal, F. Becca, D. Poilblanc, Phys. Rev. B 83, 100404 (2011)CrossRefGoogle Scholar
- 26.Y. Iqbal, F. Becca and D. Poilblanc, Phys. Rev. B 84, 020407 (2011)CrossRefADSGoogle Scholar
- 27.S. Yan, D.A. Huse, S.R. White, Science 332, 1173 (2011)CrossRefADSGoogle Scholar
- 28.H. Nakano, T. Sakai, J. Phys. Soc. Jpn. 80, 053704 (2011)CrossRefADSGoogle Scholar