Physics:Quantum anomalous Hall effect: Difference between revisions
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{{Short description|Quantum physics topic}} | |||
{{Quantum book backlink|Condensed matter and solid-state physics}} | |||
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{{Short description|Effect in quantum mechanics where conductivity acquires quantized values | |||
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'''Quantum anomalous Hall effect''' (QAHE) is the "quantum" version of the [[Physics:Hall effect#Anomalous Hall effect|anomalous Hall effect]]. While the anomalous Hall effect requires a combination of magnetic polarization and [[Physics:Spin–orbit interaction|spin-orbit coupling]] to generate a finite Hall voltage even in the absence of an external magnetic field (hence called "anomalous"), the quantum anomalous Hall effect is its quantized version. The Hall conductivity acquires quantized values proportional to integer multiples of the von Klitzing constant (<math>e^2/h</math>) (also called [[Physics:Conductance quantum|conductance quantum]]). In this respect the QAHE is similar to the [[Physics:Quantum Hall effect|quantum Hall effect]]. The integer here is equal to the [[Chern class|Chern number]] which arises out of topological properties of the material [[Physics:Electronic band structure|band structure]]. These effects are observed in systems called quantum anomalous Hall insulators (also called Chern insulators).<ref>{{cite arXiv|title = The quantum anomalous Hall effect|eprint= 1508.07106|date = 2015-08-28|first1 = Chao-Xing|last1 = Liu|first2 = Shou-Cheng|last2 = Zhang|first3 = Xiao-Liang|last3 = Qi|class= cond-mat.mes-hall}}</ref> | '''Quantum anomalous Hall effect''' (QAHE) is the "quantum" version of the [[Physics:Hall effect#Anomalous Hall effect|anomalous Hall effect]]. While the anomalous Hall effect requires a combination of magnetic polarization and [[Physics:Spin–orbit interaction|spin-orbit coupling]] to generate a finite Hall voltage even in the absence of an external magnetic field (hence called "anomalous"), the quantum anomalous Hall effect is its quantized version. The Hall conductivity acquires quantized values proportional to integer multiples of the von Klitzing constant (<math>e^2/h</math>) (also called [[Physics:Conductance quantum|conductance quantum]]). In this respect the QAHE is similar to the [[Physics:Quantum Hall effect|quantum Hall effect]]. The integer here is equal to the [[Chern class|Chern number]] which arises out of topological properties of the material [[Physics:Electronic band structure|band structure]]. These effects are observed in systems called quantum anomalous Hall insulators (also called Chern insulators).<ref>{{cite arXiv|title = The quantum anomalous Hall effect|eprint= 1508.07106|date = 2015-08-28|first1 = Chao-Xing|last1 = Liu|first2 = Shou-Cheng|last2 = Zhang|first3 = Xiao-Liang|last3 = Qi|class= cond-mat.mes-hall}}</ref> | ||
The effect was observed experimentally for the first time in 2013 by a team led by [[Biography:Xue Qikun|Xue Qikun]] at Tsinghua University.<ref>{{Cite journal|title = Experimental Observation of the quantum Anomalous Hall Effect in a Magnetic Topological Insulator|journal = Science|date = 2013-04-12|issn = 0036-8075|pmid = 23493424|pages = 167–170|volume = 340|issue = 6129|doi = 10.1126/science.1234414|language = en|first1 = Cui-Zu|last1 = Chang|first2 = Jinsong|last2 = Zhang|first3 = Xiao|last3 = Feng|first4 = Jie|last4 = Shen|first5 = Zuocheng|last5 = Zhang|first6 = Minghua|last6 = Guo|first7 = Kang|last7 = Li|first8 = Yunbo|last8 = Ou|first9 = Pang|last9 = Wei|bibcode = 2013Sci...340..167C |arxiv = 1605.08829| s2cid=29455044 }}</ref> | The effect was observed experimentally for the first time in 2013 by a team led by [[Biography:Xue Qikun|Xue Qikun]] at Tsinghua University.<ref>{{Cite journal|title = Experimental Observation of the quantum Anomalous Hall Effect in a Magnetic Topological Insulator|journal = Science|date = 2013-04-12|issn = 0036-8075|pmid = 23493424|pages = 167–170|volume = 340|issue = 6129|doi = 10.1126/science.1234414|language = en|first1 = Cui-Zu|last1 = Chang|first2 = Jinsong|last2 = Zhang|first3 = Xiao|last3 = Feng|first4 = Jie|last4 = Shen|first5 = Zuocheng|last5 = Zhang|first6 = Minghua|last6 = Guo|first7 = Kang|last7 = Li|first8 = Yunbo|last8 = Ou|first9 = Pang|last9 = Wei|bibcode = 2013Sci...340..167C |arxiv = 1605.08829| s2cid=29455044 }}</ref> | ||
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==See also== | ==See also== | ||
Revision as of 21:51, 17 May 2026
Quantum anomalous Hall effect (QAHE) is the "quantum" version of the anomalous Hall effect. While the anomalous Hall effect requires a combination of magnetic polarization and spin-orbit coupling to generate a finite Hall voltage even in the absence of an external magnetic field (hence called "anomalous"), the quantum anomalous Hall effect is its quantized version. The Hall conductivity acquires quantized values proportional to integer multiples of the von Klitzing constant () (also called conductance quantum). In this respect the QAHE is similar to the quantum Hall effect. The integer here is equal to the Chern number which arises out of topological properties of the material band structure. These effects are observed in systems called quantum anomalous Hall insulators (also called Chern insulators).[1]
The effect was observed experimentally for the first time in 2013 by a team led by Xue Qikun at Tsinghua University.[2]
See also
References
- ↑ Liu, Chao-Xing; Zhang, Shou-Cheng; Qi, Xiao-Liang (2015-08-28). "The quantum anomalous Hall effect". arXiv:1508.07106 [cond-mat.mes-hall].
- ↑ Chang, Cui-Zu; Zhang, Jinsong; Feng, Xiao; Shen, Jie; Zhang, Zuocheng; Guo, Minghua; Li, Kang; Ou, Yunbo et al. (2013-04-12). "Experimental Observation of the quantum Anomalous Hall Effect in a Magnetic Topological Insulator" (in en). Science 340 (6129): 167–170. doi:10.1126/science.1234414. ISSN 0036-8075. PMID 23493424. Bibcode: 2013Sci...340..167C.
Source attribution: Quantum anomalous Hall effect