The DOI matches its Crossref record; 35 of the 35 references it cites were found in a registry or an index.
Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
Open accessAbstract
Chern numbers characterize the quantum Hall effect conductance—non-zero values are associated with topological phases. Previously only spotted in electronic systems, they have now been measured in ultracold atoms subject to artificial gauge fields. Sixty years ago, Karplus and Luttinger pointed out that quantum particles moving on a lattice could acquire an anomalous transverse velocity in response to a force, providing an explanation for the unusual Hall effect in ferromagnetic metals1. A striking manifestation of this transverse transport was then revealed in the quantum Hall effect2 where the plateaux depicted by the Hall conductivity were attributed to a topological invariant characterizing the Bloch bands: the Chern number3. Until now, topological transport associated with non-zero Chern numbers has only been observed in electronic systems2,4,5. Here we use the transverse deflection of an atomic cloud in response to an optical gradient to measure the Chern number of artificially generated Hofstadter bands6. These topological bands are very flat and thus constitute good candidates for the realization of fractional Chern insulators7. Combining these deflection measurements with the determination of the band populations, we obtain an experimental value for the Chern number of the lowest band νexp = 0.99(5). This first Chern-number measurement in a non-electronic system is facilitated by an all-optical artificial gauge field scheme, generating uniform flux in optical superlattices.
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Cites
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973
Berry phase effects on electronic properties
Xiao, D., Chang, M.-C., & Niu, Q. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1959 · Cited by 5,277
Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
Hofstadter, D. R. (1976) · Physical Review B · doi:10.1103/physrevb.14.2239 · Cited by 3,495
Photonic Floquet topological insulators
Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Lumer, Y., Podolsky, D., Dreisow, F., Nolte, S., Segev, M., & Szameit, A. (2013) · Nature · doi:10.1038/nature12066 · Cited by 3,332
Experimental realization of the topological Haldane model with ultracold fermions
Jotzu, G., Messer, M., Desbuquois, R., Lebrat, M., Uehlinger, T., Greif, D., & Esslinger, T. (2014) · Nature · doi:10.1038/nature13915 · Cited by 2,017
Carusotto, I., & Ciuti, C. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.299 · Cited by 1,996
Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices
Dean, C. R., Wang, L., Maher, P., Forsythe, C., Ghahari, F., Gao, Y., Katoch, J., Ishigami, M., Moon, P., Koshino, M., et al. (2013) · Nature · doi:10.1038/nature12186 · Cited by 1,745
Karplus, R., & Luttinger, J. M. (1954) · Physical Review · doi:10.1103/physrev.95.1154 · Cited by 1,737
Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices
Aidelsburger, M., Atala, M., Lohse, M., Barreiro, J. T., Paredes, B., & Bloch, I. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.185301 · Cited by 1,435
Self-citationSingle Band Motion of Conduction Electrons in a Uniform Magnetic Field
Harper, P. G. (1955) · Proceedings of the Physical Society. Section A · doi:10.1088/0370-1298/68/10/304 · Cited by 1,416
Cited by
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722
Self-citationLu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655
Quantum simulations with ultracold atoms in optical lattices
Gross, C., & Bloch, I. (2017) · Science · doi:10.1126/science.aal3837 · Cited by 1,527
Self-citationTopological insulator laser: Experiments
Bandres, M. A., Wittek, S., Harari, G., Parto, M., Ren, J., Segev, M., Christodoulides, D. N., & Khajavikhan, M. (2018) · Science · doi:10.1126/science.aar4005 · Cited by 1,315
Quantum many-body systems out of equilibrium
Eisert, J., Friesdorf, M., & Gogolin, C. (2015) · Nature Physics · doi:10.1038/nphys3215 · Cited by 1,255
Metadata
- Authors
- Aidelsburger, M., Lohse, M., Schweizer, C., Atala, M., Barreiro, J. T., Nascimbène, S., Cooper, N. R., Bloch, I., & Goldman, N.
- Venue
- Nature Physics
- Published
- 2014-12-22
- Volume
- 11
- Issue
- 2
- Pages
- 162-166
- ISSN
- 1745-2473 (ISSN-L)
- 1745-2481
- OpenAlex
- W2118666298
- Cited by
- 991
- References
- 35
- FWCI
- 51.41
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Aidelsburger, M., Lohse, M., Schweizer, C., Atala, M., Barreiro, J. T., Nascimbène, S., Cooper, N. R., Bloch, I., & Goldman, N. (2015). Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms. Nature Physics. https://doi.org/10.1038/nphys3171
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