Reentrant quantum anomalous Hall effect with in-plane magnetic fields in HgMnTe quantum wells

Hsiu Chuan Hsu, Xin Liu, Chao Xing Liu

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The quantum anomalous Hall effect has been predicted in HgMnTe quantum wells with an out-of-plane magnetization of Mn atoms. However, since HgMnTe quantum wells are paramagnetic, an out-of-plane magnetic field is required to polarize magnetic moments of Mn atoms, which inevitably induces Landau levels and makes it difficult to identify the origin of the quantized Hall conductance experimentally. In this work, we study the quantum anomalous Hall effect in the presence of an in-plane magnetic field in Mn-doped HgTe quantum wells. For a small out-of-plane magnetic field, the in-plane magnetic field can drive the system from a normal insulating state to a quantum anomalous Hall state. When the out-of-plane magnetic field is slightly above the transition point, the system shows a reentrant behavior of Hall conductance, varying from -e2/h to 0 and back to -e2/h, with increasing in-plane magnetic fields. The reentrant quantum anomalous Hall effect originates from the interplay between the exchange coupling of magnetic moments and the direct Zeeman coupling of magnetic fields. The calculation incorporating Landau levels shows that there is no qualitative change of the reentrant behavior.

Original languageEnglish (US)
Article number085315
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume88
Issue number8
DOIs
StatePublished - Aug 19 2013

Fingerprint

Quantum Hall effect
Semiconductor quantum wells
Hall effect
quantum wells
Magnetic fields
magnetic fields
Magnetic moments
magnetic moments
Atoms
Exchange coupling
transition points
atoms
Magnetization
magnetization

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

@article{b0f6045039ae431097d9431d94def57f,
title = "Reentrant quantum anomalous Hall effect with in-plane magnetic fields in HgMnTe quantum wells",
abstract = "The quantum anomalous Hall effect has been predicted in HgMnTe quantum wells with an out-of-plane magnetization of Mn atoms. However, since HgMnTe quantum wells are paramagnetic, an out-of-plane magnetic field is required to polarize magnetic moments of Mn atoms, which inevitably induces Landau levels and makes it difficult to identify the origin of the quantized Hall conductance experimentally. In this work, we study the quantum anomalous Hall effect in the presence of an in-plane magnetic field in Mn-doped HgTe quantum wells. For a small out-of-plane magnetic field, the in-plane magnetic field can drive the system from a normal insulating state to a quantum anomalous Hall state. When the out-of-plane magnetic field is slightly above the transition point, the system shows a reentrant behavior of Hall conductance, varying from -e2/h to 0 and back to -e2/h, with increasing in-plane magnetic fields. The reentrant quantum anomalous Hall effect originates from the interplay between the exchange coupling of magnetic moments and the direct Zeeman coupling of magnetic fields. The calculation incorporating Landau levels shows that there is no qualitative change of the reentrant behavior.",
author = "Hsu, {Hsiu Chuan} and Xin Liu and Liu, {Chao Xing}",
year = "2013",
month = "8",
day = "19",
doi = "10.1103/PhysRevB.88.085315",
language = "English (US)",
volume = "88",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Physical Society",
number = "8",

}

Reentrant quantum anomalous Hall effect with in-plane magnetic fields in HgMnTe quantum wells. / Hsu, Hsiu Chuan; Liu, Xin; Liu, Chao Xing.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 88, No. 8, 085315, 19.08.2013.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Reentrant quantum anomalous Hall effect with in-plane magnetic fields in HgMnTe quantum wells

AU - Hsu, Hsiu Chuan

AU - Liu, Xin

AU - Liu, Chao Xing

PY - 2013/8/19

Y1 - 2013/8/19

N2 - The quantum anomalous Hall effect has been predicted in HgMnTe quantum wells with an out-of-plane magnetization of Mn atoms. However, since HgMnTe quantum wells are paramagnetic, an out-of-plane magnetic field is required to polarize magnetic moments of Mn atoms, which inevitably induces Landau levels and makes it difficult to identify the origin of the quantized Hall conductance experimentally. In this work, we study the quantum anomalous Hall effect in the presence of an in-plane magnetic field in Mn-doped HgTe quantum wells. For a small out-of-plane magnetic field, the in-plane magnetic field can drive the system from a normal insulating state to a quantum anomalous Hall state. When the out-of-plane magnetic field is slightly above the transition point, the system shows a reentrant behavior of Hall conductance, varying from -e2/h to 0 and back to -e2/h, with increasing in-plane magnetic fields. The reentrant quantum anomalous Hall effect originates from the interplay between the exchange coupling of magnetic moments and the direct Zeeman coupling of magnetic fields. The calculation incorporating Landau levels shows that there is no qualitative change of the reentrant behavior.

AB - The quantum anomalous Hall effect has been predicted in HgMnTe quantum wells with an out-of-plane magnetization of Mn atoms. However, since HgMnTe quantum wells are paramagnetic, an out-of-plane magnetic field is required to polarize magnetic moments of Mn atoms, which inevitably induces Landau levels and makes it difficult to identify the origin of the quantized Hall conductance experimentally. In this work, we study the quantum anomalous Hall effect in the presence of an in-plane magnetic field in Mn-doped HgTe quantum wells. For a small out-of-plane magnetic field, the in-plane magnetic field can drive the system from a normal insulating state to a quantum anomalous Hall state. When the out-of-plane magnetic field is slightly above the transition point, the system shows a reentrant behavior of Hall conductance, varying from -e2/h to 0 and back to -e2/h, with increasing in-plane magnetic fields. The reentrant quantum anomalous Hall effect originates from the interplay between the exchange coupling of magnetic moments and the direct Zeeman coupling of magnetic fields. The calculation incorporating Landau levels shows that there is no qualitative change of the reentrant behavior.

UR - http://www.scopus.com/inward/record.url?scp=84884561872&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84884561872&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.88.085315

DO - 10.1103/PhysRevB.88.085315

M3 - Article

AN - SCOPUS:84884561872

VL - 88

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 8

M1 - 085315

ER -