# Quantized topological magnetoelectric effect of the zero-plateau quantum anomalous Hall state

## Abstract

The topological magnetoelectric effect in a three-dimensional topological insulator is a novel phenomenon, where an electric field induces a magnetic field in the same direction, with a universal coefficient of proportionality quantized in units of $e²/2h$. Here in this paper, we propose that the topological magnetoelectric effect can be realized in the zero-plateau quantum anomalous Hall state of magnetic topological insulators or a ferromagnet-topological insulator heterostructure. The finite-size effect is also studied numerically, where the magnetoelectric coefficient is shown to converge to a quantized value when the thickness of the topological insulator film increases. We further propose a device setup to eliminate nontopological contributions from the side surface.

- Authors:

- Stanford Univ., CA (United States). Dept. of Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
- Stanford Univ., CA (United States). Dept. of Physics

- Publication Date:

- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Science Foundation (NSF)

- OSTI Identifier:
- 1327004

- Alternate Identifier(s):
- OSTI ID: 1209843

- Report Number(s):
- SLAC-PUB-16720

Journal ID: ISSN 1098-0121; PRBMDO

- Grant/Contract Number:
- AC02-76SF00515; DMR-1305677; DMR-1151786

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Physical Review. B, Condensed Matter and Materials Physics

- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 8; Journal ID: ISSN 1098-0121

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

### Citation Formats

```
Wang, Jing, Lian, Biao, Qi, Xiao-Liang, and Zhang, Shou-Cheng.
```*Quantized topological magnetoelectric effect of the zero-plateau quantum anomalous Hall state*. United States: N. p., 2015.
Web. doi:10.1103/PhysRevB.92.081107.

```
Wang, Jing, Lian, Biao, Qi, Xiao-Liang, & Zhang, Shou-Cheng.
```*Quantized topological magnetoelectric effect of the zero-plateau quantum anomalous Hall state*. United States. doi:10.1103/PhysRevB.92.081107.

```
Wang, Jing, Lian, Biao, Qi, Xiao-Liang, and Zhang, Shou-Cheng. Mon .
"Quantized topological magnetoelectric effect of the zero-plateau quantum anomalous Hall state". United States. doi:10.1103/PhysRevB.92.081107. https://www.osti.gov/servlets/purl/1327004.
```

```
@article{osti_1327004,
```

title = {Quantized topological magnetoelectric effect of the zero-plateau quantum anomalous Hall state},

author = {Wang, Jing and Lian, Biao and Qi, Xiao-Liang and Zhang, Shou-Cheng},

abstractNote = {The topological magnetoelectric effect in a three-dimensional topological insulator is a novel phenomenon, where an electric field induces a magnetic field in the same direction, with a universal coefficient of proportionality quantized in units of $e²/2h$. Here in this paper, we propose that the topological magnetoelectric effect can be realized in the zero-plateau quantum anomalous Hall state of magnetic topological insulators or a ferromagnet-topological insulator heterostructure. The finite-size effect is also studied numerically, where the magnetoelectric coefficient is shown to converge to a quantized value when the thickness of the topological insulator film increases. We further propose a device setup to eliminate nontopological contributions from the side surface.},

doi = {10.1103/PhysRevB.92.081107},

journal = {Physical Review. B, Condensed Matter and Materials Physics},

issn = {1098-0121},

number = 8,

volume = 92,

place = {United States},

year = {2015},

month = {8}

}

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