期刊
PHYSICAL REVIEW B
卷 95, 期 16, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.95.165405
关键词
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资金
- World Premier International Research Center Initiative (WPI)
- Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan [JP15H05854, JP26400308]
- National Science Foundation [DMR-1455296]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1455296] Funding Source: National Science Foundation
- Grants-in-Aid for Scientific Research [15H05854, 25247056] Funding Source: KAKEN
We extend Laughlin's magnetic-flux-threading argument to the quantized thermal Hall effect. A proper analog of Laughlin's adiabatic magnetic-flux threading process for the case of the thermal Hall effect is given in terms of an external gravitational field. From the perspective of the edge theories of quantum Hall systems, the quantized thermal Hall effect is closely tied to the breakdown of large diffeomorphism invariance, that is, a global gravitational anomaly. In addition, we also give an argument from the bulk perspective in which a free energy, decomposed into its Fourier modes, is adiabatically transferred under an adiabatic process involving external gravitational perturbations.
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