リケラボ論文検索は、全国の大学リポジトリにある学位論文・教授論文を一括検索できる論文検索サービスです。

リケラボ 全国の大学リポジトリにある学位論文・教授論文を一括検索するならリケラボ論文検索大学・研究所にある論文を検索できる

リケラボ 全国の大学リポジトリにある学位論文・教授論文を一括検索するならリケラボ論文検索大学・研究所にある論文を検索できる

大学・研究所にある論文を検索できる 「Field-induced novel classical spin liquids in frustrated systems」の論文概要。リケラボ論文検索は、全国の大学リポジトリにある学位論文・教授論文を一括検索できる論文検索サービスです。
リケラボ

コピーが完了しました

URLをコピーしました

論文の公開元へ論文の公開元へ
書き出し

Field-induced novel classical spin liquids in frustrated systems

徳宿, 邦夫 東京大学 DOI:10.15083/0002004695

2022.06.22

概要

In this thesis, we study the collective behavior of interacting fractional charges and the formation of exotic classical spin liquid (CSL) phases in a magnetic field in the Ising model.

The concept of spin liquid phases has attracted much attention for a long time in condensed matter physics. The spin liquid phase is neither an ordered phase nor a random phase. Among various exotic phenomena in spin liquid phases, fractionalization is one of the most exciting phenomena. The spin liquid phase can be seen as an assembly of fractional charges and their thermal properties and dynamics can be understood by behaviors of these charges. While the fractional charges arise from nearest-neighbor spin interactions, further-neighbor interactions play a role in the emergence of interactions between them. As a result of the interaction, various exotic phenomena, including a formation of a new type of CSL phases, appear. The density of these fractional charges is tunable by a magnetic field. Therefore, it is interesting to study a behavior of field-induced fractional charges with interaction since they might form a novel CSL phase. This is a central topic of this thesis.

This thesis is organized as follows; In the first two chapters, we introduce the background of the present thesis. In Chapter 1, we explain the general feature of spin liquid phases. In Chapter 2, we review the specific CSL phase, such as the spin-ice model. Using this model, we introduce the notion of the emergent Coulomb phase and the fractional charge at the classical level. We also review a previous paper which studied an interacting fractional charge model and an induced exotic spin liquid phase.

In Chapter 3, we study an interacting fractional charge model on a checkerboard lattice in a magnetic field. By analytical calculation, we show that the system exhibits multiple magnetization plateaus. In one of the magnetic plateaus, M = 1/3, we find a new CSL phase that can be mapped to the trimer covering on the dual lattice. This CSL phase has a macroscopic degeneracy, implying that it is a promising candidate to explore nontrivial quantum phases.

In Chapter 4, we study an interacting fractional charge model on a kagome lattice in a magnetic field. A previous study found that the ground state in the zero field is an exotic CSL phase characterized by ring structures of fractional charges, which is called a hexamer CSL. When we turn on the magnetic field, we find three magnetization plateaus with exotic values as M = 17/27, 5/9 and 1/9. We also find a trimer covering phase on the kagome lattice in a magnetic plateau with M = 1/9. We explain the connection between this trimer covering and the previous hexamer CSL in the zero field.

Finally, we summarize the universal property of these models in Chapter 5.

論文の公開元へ

関連論文

関連論文をもっと見る

参考文献

[1] C. Lacroix, P. Mendels, and F. Mila: Introduction to Frustrated Magnetism (Springer, New York, 2011).

[2] L. Balents: Nature (London) 464, 199 (2010).

[3] P. Anderson: Mater. Res. Bull. 8, 153 (1973).

[4] P. Fazekas and P. W. Anderson: Philos. Mag. 30, 423 (1974).

[5] D. A. Huse and V. Elser: Phys. Rev. Lett. 60, 2531 (1988).

[6] D. Yoshioka and J. Miyazaki: J. Phys. Soc. Jpn. 60, 614 (1991).

[7] T. Jolicoeur and J. C. Le Guillou: Phys. Rev. B 40, 2727 (1989).

[8] H. Nishimori and H. Nakanishi: J. Phys. Soc. Jpn. 57, 626 (1988).

[9] B. Bernu, C. Lhuillier, and L. Pierre: Phys. Rev. Lett. 69, 2590 (1992).

[10] B. Bernu, P. Lecheminant, C. Lhuillier, and L. Pierre: Phys. Rev. B 50, 10048 (1994).

[11] S. Sachdev: Phys. Rev. B 45, 12377 (1992).

[12] H. C. Jiang, Z. Y. Weng, and D. N. Sheng: Phys. Rev. Lett. 101, 117203 (2008).

[13] S. Yan, D. A. Huse, and S. R. White: Science 332, 1173 (2011).

[14] S. Depenbrock, I. P. McCulloch, and U. Schollw¨ock: Phys. Rev. Lett. 109, 067201 (2012).

[15] H.-C. Jiang, Z. Wang, and L. Balents: Nat. Phys. 8, 902 (2012).

[16] Y. Ran, M. Hermele, P. A. Lee, and X.-G. Wen: Phys. Rev. Lett. 98, 117205 (2007).

[17] Y. Iqbal, F. Becca, S. Sorella, and D. Poilblanc: Phys. Rev. B 87, 060405 (2013).

[18] D. S. Rokhsar and S. A. Kivelson: Phys. Rev. Lett. 61, 2376 (1988).

[19] R. Moessner and S. L. Sondhi: Phys. Rev. Lett. 86, 1881 (2001).

[20] D. A. Ivanov: Phys. Rev. B 70, 094430 (2004).

[21] H. Yao and S. A. Kivelson: Phys. Rev. Lett. 108, 247206 (2012).

[22] G. Misguich, D. Serban, and V. Pasquier: Phys. Rev. Lett. 89, 137202 (2002).

[23] J. Villain: Z. Phys. B: Condens. Matter 33, 31 (1979).

[24] H. T. Diep: Frustrated Spin Systems (WORLD SCIENTIFIC, Singapore, 2004).

[25] H. Bethe: Z. Angew. Phys. 71, 205 (1931).

[26] M. Mourigal, M. Enderle, A. Kl¨opperpieper, J.-S. Caux, A. Stunault, and H. M. Rønnow: Nat. Phys. 9, 435 (2013).

[27] M. Ogata and H. Shiba: Phys. Rev. B 41, 2326 (1990).

[28] A. Y. Kitaev: Phys. Usp. 44, 131 (2001).

[29] R. B. Laughlin: Phys. Rev. Lett. 50, 1395 (1983).

[30] D. C. Tsui, H. L. Stormer, and A. C. Gossard: Phys. Rev. Lett. 48, 1559 (1982).

[31] A. Kitaev: Ann. Phys. 321, 2 (2006).

[32] J. Knolle, D. L. Kovrizhin, J. T. Chalker, and R. Moessner: Phys. Rev. Lett. 112, 207203 (2014).

[33] C. Castelnovo, R. Moessner, and S. Sondhi: Annu. Rev. Condens. Matter Phys. 3, 35 (2012).

[34] A. Kitaev: Ann. Phys. 303, 2 (2003).

[35] M. Hermele, M. P. A. Fisher, and L. Balents: Phys. Rev. B 69, 064404 (2004).

[36] W. F. Giauque and M. F. Ashley: Phys. Rev. 43, 81 (1933).

[37] W. F. Giauque and J. W. Stout: J. Am. Chem. Soc. 58, 1144 (1936).

[38] L. Pauling: J. Am. Chem. Soc. 57, 2680 (1935).

[39] H. A. Bethe and W. L. Bragg: Proc. R. Soc. London, Ser. A 150, 552 (1935).

[40] R. Kikuchi: Phys. Rev. 81, 988 (1951).

[41] E. A. DiMarzio and F. H. Stillinger: J. Chem. Phys. 40, 1577 (1964).

[42] J. F. Nagle: J. Math. Phys. 7, 1484 (1966).

[43] E. H. Lieb: Phys. Rev. Lett. 18, 692 (1967).

[44] M. J. Harris, S. T. Bramwell, D. F. McMorrow, T. Zeiske, and K. W. Godfrey: Phys. Rev. Lett. 79, 2554 (1997).

[45] M. Harris, S. Bramwell, T. Zeiske, D. McMorrow, and P. King: J. Magn. Magn. Mater. 177, 757 (1998).

[46] A. P. Ramirez, A. Hayashi, R. J. Cava, R. Siddharthan, and B. S. Shastry: Nature 399, 333 (1999).

[47] S. T. Bramwell, M. J. Harris, B. C. den Hertog, M. J. P. Gingras, J. S. Gardner, D. F. McMorrow, A. R. Wildes, A. L. Cornelius, J. D. M. Champion, R. G. Melko, and T. Fennell: Phys. Rev. Lett. 87, 047205 (2001).

[48] A. L. Cornelius and J. S. Gardner: Phys. Rev. B 64, 060406 (2001).

[49] D. A. Huse, W. Krauth, R. Moessner, and S. L. Sondhi: Phys. Rev. Lett. 91, 167004 (2003).

[50] T. Fennell, P. P. Deen, A. R. Wildes, K. Schmalzl, D. Prabhakaran, A. T. Boothroyd, R. J. Aldus, D. F. McMorrow, and S. T. Bramwell: Science 326, 415 (2009).

[51] S. T. Bramwell and M. J. P. Gingras: Science 294, 1495 (2001).

[52] G. Ehlers, A. L. Cornelius, T. Fennell, M. Koza, S. T. Bramwell, and J. S. Gardner: J. Phys.: Condens. Matter 16, S635 (2004).

[53] J. Snyder, B. G. Ueland, J. S. Slusky, H. Karunadasa, R. J. Cava, A. Mizel, and P. Schiffer: Phys. Rev. Lett. 91, 107201 (2003).

[54] T. Yavors’kii, T. Fennell, M. J. P. Gingras, and S. T. Bramwell: Phys. Rev. Lett. 101, 037204 (2008).

[55] D. J. P. Morris, D. A. Tennant, S. A. Grigera, B. Klemke, C. Castelnovo, R. Moessner, C. Czternasty, M. Meissner, K. C. Rule, J.-U. Hoffmann, K. Kiefer, S. Gerischer, D. Slobinsky, and R. S. Perry: Science 326, 411 (2009).

[56] K. Matsuhira, Y. Hinatsu, and T. Sakakibara: J. Phys.: Condens. Matter 13, L737 (2001).

[57] K. Matsuhira, C. Paulsen, E. Lhotel, C. Sekine, Z. Hiroi, and S. Takagi: J. Phys. Soc. Jpn. 80, 123711 (2011).

[58] H. Aoki, T. Sakakibara, K. Matsuhira, and Z. Hiroi: J. Phys. Soc. Jpn. 73, 2851 (2004).

[59] H. Kadowaki, Y. Ishii, K. Matsuhira, and Y. Hinatsu: Phys. Rev. B 65, 144421 (2002).

[60] K. Matsuhira, Y. Hinatsu, K. Tenya, and T. Sakakibara: J. Phys.: Condens. Matter 12, L649 (2000).

[61] K. Matsuhira, Y. Hinatsu, K. Tenya, H. Amitsuka, and T. Sakakibara: J. Phys. Soc. Jpn. 71, 1576 (2002).

[62] X. Ke, B. G. Ueland, D. V. West, M. L. Dahlberg, R. J. Cava, and P. Schiffer: Phys. Rev. B 76, 214413 (2007).

[63] C. L. Henley: Annu. Rev. Condens. Matter Phys. 1, 179 (2010).

[64] P. A. M. Dirac: Philos. Trans. R. Soc. London, Ser. A 133, 60 (1931).

[65] L. D. C. Jaubert and P. C. W. Holdsworth: Nat. Phys. 5, 258 (2009).

[66] L. D. C. Jaubert and P. C. W. Holdsworth: J. Phys.: Condens. Matter 23, 164222 (2011).

[67] J. Snyder, B. G. Ueland, J. S. Slusky, H. Karunadasa, R. J. Cava, and P. Schiffer: Phys. Rev. B 69, 064414 (2004).

[68] T. Mizoguchi, L. D. C. Jaubert, and M. Udagawa: Phys. Rev. Lett. 119, 077207 (2017).

[69] M. Udagawa, L. D. C. Jaubert, C. Castelnovo, and R. Moessner: Phys. Rev. B 94, 104416 (2016).

[70] J. G. Rau and M. J. Gingras: Nat. Commun. 7, 12234 (2016).

[71] T. Mizoguchi, L. D. C. Jaubert, R. Moessner, and M. Udagawa: Phys. Rev. B 98, 144446 (2018).

[72] L. Balents, M. P. A. Fisher, and S. M. Girvin: Phys. Rev. B 65, 224412 (2002).

[73] S. V. Isakov, Y. B. Kim, and A. Paramekanti: Phys. Rev. Lett. 97, 207204 (2006).

[74] Y.-C. He, D. N. Sheng, and Y. Chen: Phys. Rev. Lett. 112, 137202 (2014).

[75] S. Bieri, L. Messio, B. Bernu, and C. Lhuillier: Phys. Rev. B 92, 060407 (2015).

[76] K. Matsuhira, Z. Hiroi, T. Tayama, S. Takagi, and T. Sakakibara: J. Phys.: Condens. Matter 14, L559 (2002).

[77] M. Udagawa, M. Ogata, and Z. Hiroi: J. Phys. Soc. Jpn. 71, 2365 (2002).

[78] S. V. Isakov, K. S. Raman, R. Moessner, and S. L. Sondhi: Phys. Rev. B 70, 104418 (2004).

[79] S. Nishimoto, N. Shibata, and C. Hotta: Nat. Commun. 4, 2287 (2013).

[80] T. Ono, H. Tanaka, H. Aruga Katori, F. Ishikawa, H. Mitamura, and T. Goto: Phys. Rev. B 67, 104431 (2003).

[81] A. Miyata, O. Portugall, D. Nakamura, K. Ohgushi, and S. Takeyama: Phys. Rev. B 96, 180401(R) (2017).

[82] J. Alicea, A. V. Chubukov, and O. A. Starykh: Phys. Rev. Lett. 102, 137201 (2009).

[83] T. Coletta, T. A. T´oth, K. Penc, and F. Mila: Phys. Rev. B 94, 075136 (2016).

[84] T. Momoi and K. Totsuka: Phys. Rev. B 62, 15067 (2000).

[85] T. Sakai and H. Nakano: Phys. Rev. B 83, 100405(R) (2011).

[86] T. Susuki, N. Kurita, T. Tanaka, H. Nojiri, A. Matsuo, K. Kindo, and H. Tanaka: Phys. Rev. Lett. 110, 267201 (2013).

[87] K. Onizuka, H. Kageyama, Y. Narumi, K. Kindo, Y. Ueda, and T. Goto: J. Phys. Soc. Jpn. 69, 1016 (2000).

[88] Y. H. Matsuda, N. Abe, S. Takeyama, H. Kageyama, P. Corboz, A. Honecker, S. R. Manmana, G. R. Foltin, K. P. Schmidt, and F. Mila: Phys. Rev. Lett. 111, 137204 (2013).

[89] A. Miyata, S. Takeyama, and H. Ueda: Phys. Rev. B 87, 214424 (2013).

[90] D. Nakamura, A. Miyata, Y. Aida, H. Ueda, and S. Takeyama: J. Phys. Soc. Jpn. 83, 113703 (2014).

[91] M. E. Fisher: Phys. Rev. 124, 1664 (1961).

[92] K. Frob¨ose, F. Bonnemeier, and J. J¨ackle: J. Phys. A: Math. Gen. 29, 485 (1996).

[93] A. Ghosh, D. Dhar, and J. L. Jacobsen: Phys. Rev. E 75, 011115(R) (2007).

[94] H. Lee, Y.-t. Oh, J. H. Han, and H. Katsura: Phys. Rev. B 95, 060413(R) (2017).

[95] X.-Y. Dong, J.-Y. Chen, and H.-H. Tu: Phys. Rev. B 98, 205117 (2018).

[96] Y. Okamoto, M. Tokunaga, H. Yoshida, A. Matsuo, K. Kindo, and Z. Hiroi: Phys. Rev. B 83, 180407 (2011).

[97] R. Okuma, D. Nakamura, T. Okubo, A. Miyake, A. Matsuo, K. Kindo, M. Tokunaga, N. Kawashima, S. Takeyama, and Z. Hiroi: Nat. Commun. 10, 1229 (2019).

[98] K. Hida: J. Phys. Soc. Jpn. 70, 3673 (2001).

[99] M. E. Zhitomirsky: Phys. Rev. Lett. 88, 057204 (2002).

[100] M. E. Zhitomirsky and H. Tsunetsugu: Phys. Rev. B 70, 100403 (2004).

[101] A. Honecker, J. Schulenburg, and J. Richter: J. Phys.: Condens. Matter 16, S749 (2004).

[102] H. Nakano and T. Sakai: J. Phys. Soc. Jpn. 79, 053707 (2010).

[103] S. Capponi, O. Derzhko, A. Honecker, A. M. L¨auchli, and J. Richter: Phys. Rev. B 88, 144416 (2013).

[104] X. Plat, T. Momoi, and C. Hotta: Phys. Rev. B 98, 014415 (2018).

参考文献をもっと見る