Artículo
Kumar, K.; Sun, K.; Fradkin, E. "Chiral spin liquids on the kagome lattice" (2015) Physical Review B - Condensed Matter and Materials Physics. 92(9)
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Abstract:
We study the nearest-neighbor XXZ Heisenberg quantum antiferromagnet on the kagome lattice. Here we consider the effects of several perturbations: (a) a chirality term, (b) a Dzyaloshinski-Moriya term, and (c) a ring-exchange type term on the bowties of the kagome lattice, and inquire if they can support chiral spin liquids as ground states. The method used to study these Hamiltonians is a flux attachment transformation that maps the spins on the lattice to fermions coupled to a Chern-Simons gauge field on the kagome lattice. This transformation requires us to consistently define a Chern-Simons term on the kagome lattice. We find that the chirality term leads to a chiral spin liquid even in the absence of an uniform magnetic field, with an effective spin Hall conductance of σxys=12 in the regime of XY anisotropy. The Dzyaloshinski-Moriya term also leads a similar chiral spin liquid but only when this term is not too strong. An external magnetic field also has the possibility of giving rise to additional plateaus which also behave like chiral spin liquids in the XY regime. Finally, we consider the effects of a ring-exchange term and find that, provided its coupling constant is large enough, it may trigger a phase transition into a chiral spin liquid by the spontaneous breaking of time-reversal invariance. © 2015 American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Chiral spin liquids on the kagome lattice |
| Autor: | Kumar, K.; Sun, K.; Fradkin, E. |
| Filiación: | Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, IL 61801-3080, United States Department of Physics, Randall Laboratory, University of Michigan, Ann Arbor, MI 48109, United States Kavli Institute for Theoretical Physics, University of California Santa Barbara, Santa Barbara, CA 93106-4030, United States Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellon I, Buenos Aires, 1428, Argentina |
| Año: | 2015 |
| Volumen: | 92 |
| Número: | 9 |
| DOI: | http://dx.doi.org/10.1103/PhysRevB.92.094433 |
| Título revista: | Physical Review B - Condensed Matter and Materials Physics |
| Título revista abreviado: | Phys. Rev. B Condens. Matter Mater. Phys. |
| ISSN: | 10980121 |
| CODEN: | PRBMD |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10980121_v92_n9_p_Kumar |
Referencias:
- Balents, L., (2010) Nature (London), 464, p. 199
- Misguich, G., Jolicoeur, Th., Girvin, S.M., (2001) Phys. Rev. Lett., 87, p. 097203
- Cabra, D.C., Rossini, G.L., (2004) Phys. Rev. B, 69, p. 184425
- Nishimoto, S., Shibata, N., Hotta, C., (2013) Nat. Commun., 4, p. 2287
- Kumar, K., Sun, K., Fradkin, E., (2014) Phys. Rev. B, 90, p. 174409
- Yan, S., Huse, D.A., White, S.R., (2011) Science, 332, p. 1173
- Jiang, H.-C., Wang, Z., Balents, L., (2012) Nat. Phys., 8, p. 902
- Depenbrock, S., McCulloch, I.P., Schollwöck, U., (2012) Phys. Rev. Lett., 109, p. 067201
- Wang, F., Vishwanath, A., (2006) Phys. Rev. B, 74, p. 174423
- Balents, L., Fisher, M.P.A., Girvin, S.M., (2002) Phys. Rev. B, 65, p. 224412
- Isakov, S.V., Hastings, M.B., Melko, R.G., (2011) Nat. Phys., 7, p. 772
- Misguich, G., Serban, D., Pasquier, V., (2002) Phys. Rev. Lett., 89, p. 137202
- Evenbly, G., Vidal, G., (2010) Phys. Rev. Lett., 104, p. 187203
- Gong, S.-S., Zhu, W., Balents, L., Sheng, D.N., (2015) Phys. Rev. B, 91, p. 075112
- He, Y.-C., Sheng, D.N., Chen, Y., (2014) Phys. Rev. Lett., 112, p. 137202
- Ran, Y., Hermele, M., Lee, P.A., Wen, X.-G., (2007) Phys. Rev. Lett., 98, p. 117205
- Iqbal, Y., Becca, F., Poilblanc, D., (2011) Phys. Rev. B, 84, p. 020407
- Bieri, S., Messio, L., Bernu, B., Lhuillier, C., (2015) Phys. Rev. B, 92, p. 060407
- Chernyshev, A.L., Zhitomirsky, M.E., (2014) Phys. Rev. Lett., 113, p. 237202
- Götze, O., Richter, J., (2015) Phys. Rev. B, 91, p. 104402
- Freedman, M., Nayak, C., Shtengel, K., Walker, K., (2004) Ann. Phys., 310, p. 428
- Kitaev, A.Y., (2003) Ann. Phys., 303, p. 2
- Fradkin, E., Shenker, S.H., (1979) Phys. Rev. D, 19, p. 3682
- Zaletel, M.P., Vishwanath, A., (2015) Phys. Rev. Lett., 114, p. 077201
- Bauer, B., Cincio, L., Keller, B.P., Dolfi, M., Vidal, G., Trebst, S., Ludwig, A.W.W., (2014) Nat. Commun., 5, p. 5137
- Wietek, A., Sterdyniak, A., Läuchli, A.M., arXiv:1503.03389; Nielsen, A.E.B., Cirac, J.I., Sierra, G., (2012) Phys. Rev. Lett., 108, p. 257206
- Nielsen, A.E.B., Sierra, G., Cirac, J.I., (2013) Nat. Commun., 4, p. 2864
- Sun, K., Kumar, K., Fradkin, E., arXiv:1502.00641; Fradkin, E., (1989) Phys. Rev. Lett., 63, p. 322
- Eliezer, D., Semenoff, G.W., (1992) Ann. Phys., 217, p. 66
- Eliezer, D., Semenoff, G.W., (1992) Phys. Lett. B, 286, p. 118
- Kalmeyer, V., Laughlin, R.B., (1987) Phys. Rev. Lett., 59, p. 2095
- Zhang, S.C., Hansson, T.H., Kivelson, S., (1989) Phys. Rev. Lett., 62, p. 82
- Jain, J.K., (1989) Phys. Rev. Lett., 63, p. 199
- López, A., Fradkin, E., (1991) Phys. Rev. B, 44, p. 5246
- Yang, K., Warman, L.K., Girvin, S.M., (1993) Phys. Rev. Lett., 70, p. 2641
- Wen, X.G., (1995) Adv. Phys., 44, p. 405
- Kitaev, A., Preskill, J., (2006) Phys. Rev. Lett., 96, p. 110404
- Levin, M., Wen, X.-G., (2006) Phys. Rev. Lett., 96, p. 110405
- Dong, S., Fradkin, E., Leigh, R.G., Nowling, S., JHEP, 2008 (5), p. 016
- Zhang, Y., Grover, T., Turner, A., Oshikawa, M., Vishwanath, A., (2012) Phys. Rev. B, 85, p. 235151
- Grover, T., Zhang, Y., Vishwanath, A., (2013) New J. Phys., 15, p. 025002
- Capponi, S., Derzhko, O., Honecker, A., Läuchli, A.M., Richter, J., (2013) Phys. Rev. B, 88, p. 144416
- Clark, B.K., Kinder, J.M., Neuscamman, E., Chan, G.K.-L., Lawler, M.J., (2013) Phys. Rev. Lett., 111, p. 187205
- Thouless, D.J., Kohmoto, M., Nightingale, M.P., Den Nijs, M., (1982) Phys. Rev. Lett., 49, p. 405
- Haldane, F.D.M., Arovas, D.P., (1995) Phys. Rev. B, 52, p. 4223
- Redlich, A.N., (1984) Phys. Rev. D, 29, p. 2366
- Fradkin, E., (2013) Field Theories of Condensed Matter Physics, Second Edition, , (Cambridge University Press, Cambridge, UK)
- Wen, X.G., Wilczek, F., Zee, A., (1989) Phys. Rev. B, 39, p. 11413
- Jiang, H.C., Yao, H., Balents, L., (2012) Phys. Rev. B, 86, p. 024424
- Gong, S.-S., Zhu, W., Sheng, D.N., (2014) Sci. Rep., 4, p. 6317
- Sandvik, A.W., (2007) Phys. Rev. Lett., 98, p. 227202
- López, A., Rojo, A.G., Fradkin, E., (1994) Phys. Rev. B, 49, p. 15139
- Giombi, S., Minwalla, S., Prakash, S., Trivedi, S.P., Wadia, S.R., (2012) Eur. Phys. J. C, 72, p. 2112
- Aharony, O., Gur-Ari, G., Yacoby, R., JHEP, 2012 (12), p. 028
- Maldacena, J., Zhiboedov, A., (2013) J. Phys. A: Math. Theor., 46, p. 214011
- Senthil, T., Vishwanath, A., Balents, L., Sachdev, S., Fisher, M.P.A., (2003) Science, 303, p. 1490
Citas:
---------- APA ----------
Kumar, K., Sun, K. & Fradkin, E. (2015) . Chiral spin liquids on the kagome lattice. Physical Review B - Condensed Matter and Materials Physics, 92(9).http://dx.doi.org/10.1103/PhysRevB.92.094433
---------- CHICAGO ----------
Kumar, K., Sun, K., Fradkin, E. "Chiral spin liquids on the kagome lattice" . Physical Review B - Condensed Matter and Materials Physics 92, no. 9 (2015).http://dx.doi.org/10.1103/PhysRevB.92.094433
---------- MLA ----------
Kumar, K., Sun, K., Fradkin, E. "Chiral spin liquids on the kagome lattice" . Physical Review B - Condensed Matter and Materials Physics, vol. 92, no. 9, 2015.http://dx.doi.org/10.1103/PhysRevB.92.094433
---------- VANCOUVER ----------
Kumar, K., Sun, K., Fradkin, E. Chiral spin liquids on the kagome lattice. Phys. Rev. B Condens. Matter Mater. Phys. 2015;92(9).http://dx.doi.org/10.1103/PhysRevB.92.094433
