Physics:Quantum anomalous Hall effect - Revision history

WikiHarold: Clean Quantum page image and red links

2026-05-23T23:33:21Z

Clean Quantum page image and red links

← Older revision		Revision as of 23:33, 23 May 2026
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	{{Short description\|Effect in quantum mechanics where conductivity acquires quantized values		{{Short description\|Effect in quantum mechanics where conductivity acquires quantized values
	}}		}}
	'''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 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 (<math>e^2/h</math>) (also called 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 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).<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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	<div style="width:300px;">		<div style="width:300px;">
	[[File:~~File not found~~.~~png~~\|thumb\|280px\|~~No image available~~.]]		[[File:Quantum_anomalous_Hall_effect_concept_map.svg\|thumb\|280px\|anomalous Hall effect in the Quantum Collection.]]
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WikiHarold: Use Quantum See also index module

2026-05-23T22:20:46Z

Use Quantum See also index module

← Older revision		Revision as of 22:20, 23 May 2026
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	==See also==		== See also ==
	*[[Physics:~~Quantum Hall effect~~\|~~Quantum Hall effect]]~~		{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}
	*[[Physics:~~Hall effect\|Hall effect]]~~

	==References==		==References==
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	[[Category:Hall effect]]		[[Category:Hall effect]]


	{{Sourceattribution\|Quantum anomalous Hall effect}}		{{Sourceattribution\|Quantum anomalous Hall effect}}

Harold: Add missing image fallback to Quantum header

2026-05-17T22:32:50Z

Add missing image fallback to Quantum header

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	~~<!--~~ No ~~lead~~ image available ~~in existing page~~. ~~-->~~		[[File:File not found.png\|thumb\|280px\|No image available.]]
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Harold: Restore Quantum article header template

2026-05-17T21:51:38Z

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- {{Short description|Effect in quantum mechanics where conductivity acquires quantized values
+{{Short description|Quantum physics topic}}
 }}
 '''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>
 ==See also==

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2023-03-06T05:02:45Z

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← Older revision	Revision as of 05:02, 6 March 2023
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{{Short description|Effect in quantum mechanics where conductivity acquires quantized values
}}
'''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>

==See also==
*[[Physics:Quantum Hall effect|Quantum Hall effect]]
*[[Physics:Hall effect|Hall effect]]

==References==
{{reflist}}

[[Category:Hall effect]]

{{Sourceattribution|Quantum anomalous Hall effect}}