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- Publisher Website: 10.1007/s11433-023-2352-0
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Article: On the half-quantized Hall conductance of massive surface electrons in magnetic topological insulator films
Title | On the half-quantized Hall conductance of massive surface electrons in magnetic topological insulator films |
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Authors | |
Keywords | Dirac equation half-quantized Hall conductance magnetic topological insulator |
Issue Date | 14-May-2024 |
Publisher | Springer |
Citation | SCIENCE CHINA Physics, Mechanics and Astronomy, 2024, v. 67, n. 6 How to Cite? |
Abstract | In topological insulators, massive surface states resulting from local symmetry breaking were thought to exhibit a half-quantized Hall conductance, obtained from the low-energy effective model in an infinite Brillouin zone. In a lattice model, the surface band is composed of a combination of surface states and bulk states. The massive surface states alone may not be enough to support an exact one-half quantized surface Hall conductance in a finite Brillouin zone and the whole surface band always gives an integer quantized Hall conductance as enforced by the TKNN theorem. To explore this, we investigate the band structures of a lattice model describing the magnetic topological insulator film that supports the axion insulator, Chern insulator, and semi-magnetic topological insulator phases. We reveal that the gapped and gapless surface bands in the three phases are characterized by an integer-quantized Hall conductance and a half-quantized Hall conductance, respectively. We propose an effective model to describe the three phases and show that the low-energy dispersion of the surface bands inherits from the surface Dirac fermions. The gapped surface band manifests a nearly half-quantized Hall conductance at low energy near the center of Brillouin zone, but is compensated by another nearly half-quantized Hall conductance at high energy near the boundary of Brillouin zone because a single band can only have an integer-quantized Hall conductance. The gapless band hosts a zero Hall conductance at low energy but is compensated by another half-quantized Hall conductance at high energy, and thus the half-quantized Hall conductance can only originate from the gapless band. Moreover, we calculate the layer-resolved Hall conductance of the system. The conclusion suggests that the individual gapped surface band alone does not support the half-quantized surface Hall effect in a lattice model. |
Persistent Identifier | http://hdl.handle.net/10722/344043 |
ISSN | 2023 Impact Factor: 6.4 2023 SCImago Journal Rankings: 1.165 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chen, Rui | - |
dc.contributor.author | Shen, Shun-Qing | - |
dc.date.accessioned | 2024-06-27T01:06:57Z | - |
dc.date.available | 2024-06-27T01:06:57Z | - |
dc.date.issued | 2024-05-14 | - |
dc.identifier.citation | SCIENCE CHINA Physics, Mechanics and Astronomy, 2024, v. 67, n. 6 | - |
dc.identifier.issn | 1674-7348 | - |
dc.identifier.uri | http://hdl.handle.net/10722/344043 | - |
dc.description.abstract | <p>In topological insulators, massive surface states resulting from local symmetry breaking were thought to exhibit a half-quantized Hall conductance, obtained from the low-energy effective model in an infinite Brillouin zone. In a lattice model, the surface band is composed of a combination of surface states and bulk states. The massive surface states alone may not be enough to support an exact one-half quantized surface Hall conductance in a finite Brillouin zone and the whole surface band always gives an integer quantized Hall conductance as enforced by the TKNN theorem. To explore this, we investigate the band structures of a lattice model describing the magnetic topological insulator film that supports the axion insulator, Chern insulator, and semi-magnetic topological insulator phases. We reveal that the gapped and gapless surface bands in the three phases are characterized by an integer-quantized Hall conductance and a half-quantized Hall conductance, respectively. We propose an effective model to describe the three phases and show that the low-energy dispersion of the surface bands inherits from the surface Dirac fermions. The gapped surface band manifests a nearly half-quantized Hall conductance at low energy near the center of Brillouin zone, but is compensated by another nearly half-quantized Hall conductance at high energy near the boundary of Brillouin zone because a single band can only have an integer-quantized Hall conductance. The gapless band hosts a zero Hall conductance at low energy but is compensated by another half-quantized Hall conductance at high energy, and thus the half-quantized Hall conductance can only originate from the gapless band. Moreover, we calculate the layer-resolved Hall conductance of the system. The conclusion suggests that the individual gapped surface band alone does not support the half-quantized surface Hall effect in a lattice model.<br></p> | - |
dc.language | eng | - |
dc.publisher | Springer | - |
dc.relation.ispartof | SCIENCE CHINA Physics, Mechanics and Astronomy | - |
dc.subject | Dirac equation | - |
dc.subject | half-quantized Hall conductance | - |
dc.subject | magnetic topological insulator | - |
dc.title | On the half-quantized Hall conductance of massive surface electrons in magnetic topological insulator films | - |
dc.type | Article | - |
dc.identifier.doi | 10.1007/s11433-023-2352-0 | - |
dc.identifier.scopus | eid_2-s2.0-85193494929 | - |
dc.identifier.volume | 67 | - |
dc.identifier.issue | 6 | - |
dc.identifier.eissn | 1869-1927 | - |
dc.identifier.isi | WOS:001227055600005 | - |
dc.identifier.issnl | 1869-1927 | - |