Abstract
Ultracold atom research presents many avenues to study problems at the forefront of physics. Due to their unprecedented controllability, these systems are ideally suited to explore new exotic states of matter, which is one of the key driving elements of the condensed matter research. One such topic of considerable importance is topological insulators, materials that are insulating in the interior but conduct along the edges. Quantum Hall and its close cousin Quantum Spin Hall states belong to the family of these exotic states and are the subject of this chapter.
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References
M. Buttiker, Phys. Rev. B 38, 9375 (1988)
N. Cooper, Adv. Phys. 57, 539 (2008)
J. Dalibard, G. Juzeliuna, P. Öhberg, arXiv:1008.5378 (2010)
E. Fradkin, Field Theories of Condensed Matter Systems (Addison-Wesley, Reading, 1991), pp. 287–292
N. Goldman, I. Satija, P. Nikolic, A. Bermudez, M.A. Martin-Delgado, M. Lewenstein, I.B. Spielman, Phys. Rev. Lett. 105, 255302 (2010)
M.Z. Hasan, C.L. Kane, Rev. Mod. Phys. 82, 3045 (2010)
D.R. Hofstadter, Phys. Rev. B 14, 2239 (1976)
C.L. Kane, E.J. Mele, Phys. Rev. Lett. 95, 146802 (2005)
A. Kitaev, Am. Inst. Phys. Conf. Ser. 1134, 22 (2009)
K.v. Klitzing, G. Dorda, M. Pepper, Phys. Rev. Lett. 45, 494 (1980)
Y.-J. Lin, R.L. Compton, K.J. Garcia, J.V. Porto, I.B. Spielman, Nature 462, 628 (2009)
Y.-J. Lin, K. Jimenez-Garcia, I.B. Spielman, Nature 471, 83–86 (2011)
X.-L. Qi, S.-C. Zhang, Phys. Today 63, 33 (2010)
X. Qi, S. Zhang, arXiv:1008.2026 (2010)
X.-L. Qi, T.L. Hughes, S.-C. Zhang, Phys. Rev. B 78, 195424 (2008)
A.P. Schnyder, S. Ryu, A. Furusaki, A.W.W. Ludwig, Phys. Rev. B 78, 195125 (2008)
D.J. Thouless, M. Kohmoto, M.P. Nightingale, M. den Nijs, Phys. Rev. Lett. 49, 405 (1982)
E. Zhao, N. Bray-Ali, C. Williams, I. Spielman, I. Satija, Phys. Rev. A 84, 063629 (2011)
Acknowledgements
We thank Noah Bray-Ali, Nathan Goldman, Ian Spielman, and Carl Williams for collaboration and their contributions during the course of this research. We acknowledge the funding support from ONR and NIST.
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Satija, I.I., Zhao, E. (2013). Topological Insulators with Ultracold Atoms. In: Mohan, M. (eds) New Trends in Atomic and Molecular Physics. Springer Series on Atomic, Optical, and Plasma Physics, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38167-6_12
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DOI: https://doi.org/10.1007/978-3-642-38167-6_12
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