DOI: 10.1063/1.4917006. Quantum anomalous Hall effect and a nontrivial spin-texture in ultra-thin films of magnetic topological insulators

Quantum anomalous Hall effect and a nontrivial spin-texture in ultra-thin films of magnetic topological insulators

10.1063/1.4917006

Crossref journal-article

AIP Publishing

Journal of Applied Physics (317)

Abstract

We study the evolution of quantum anomalous Hall (QAH) effect for a Z2 topological insulator (TI) thin films in a proximity induced magnetic phase by a realistic layered k·p model with interlayer coupling. We examine three different magnetic configurations in which ferromagnetic (FM) layer(s) is added either from one side (FM-TI), from both sides (FM-TI-FM), or homogeneously distributed (magnetically doped) in a TI slab. We map out the thickness-dependent topological phase diagram under various experimental conditions. The critical magnetic exchange energy for the emergence of QAH effect in the latter two cases decreases monotonically with increasing number of quintuple layers (QLs), while it becomes surprisingly independent of the film thickness in the former case. The gap size of the emergent QAH insulator depends on the non-magnetic “parent” gap of the TI thin film and is tuned by the FM exchange energy, opening a versatile possibility to achieve room-temperature QAH insulator in various topological nanomaterials. Finally, we find that the emergent spin-texture in the QAH effect is very unconventional, non-“hedgehog” type; and it exhibits a chiral out-of-plane spin-flip texture within the same valence band which is reminiscent of dynamical “skyrmion” pattern, except our results are in the momentum space.

Bibliography

Duong, L. Q., Das, T., Feng, Y. P., & Lin, H. (2015). Quantum anomalous Hall effect and a nontrivial spin-texture in ultra-thin films of magnetic topological insulators. Journal of Applied Physics, 117(17).

Authors 4

Le Quy Duong (first)
Tanmoy Das (additional)
Y. P. Feng (additional)
Hsin Lin (additional)

References 19 Referenced 2

10.1103/RevModPhys.82.3045 / Rev. Mod. Phys. (2010)
10.1103/RevModPhys.83.1057 / Rev. Mod. Phys. (2011)
10.1103/PhysRevLett.102.146805 / Phys. Rev. Lett. (2009)
10.1038/nphys1534 / Nat. Phys. (2010)
10.1126/science.1187485 / Science (2010)
10.1103/PhysRevLett.61.2015 / Phys. Rev. Lett. (1988)
10.1103/PhysRevLett.90.206601 / Phys. Rev. Lett. (2003)
10.1103/PhysRevB.74.085308 / Phys. Rev. B (2006)
10.1126/science.1234414 / Science (2013)
10.1038/nphys1838 / Nat. Phys. (2011)
10.1038/nphys2351 / Nat. Phys. (2012)
10.1126/science.1189924 / Science (2010)
10.1103/PhysRevB.82.161414 / Phys. Rev. B (2010)
10.1103/PhysRevB.86.035104 / Phys. Rev. B (2012)
10.1038/ncomms2972 / Nat. Commun. (2013)
10.1103/PhysRevLett.105.097001 / Phys. Rev. Lett. (2010)
10.1103/PhysRevB.89.245419 / Phys. Rev. B (2014)
10.1016/0003-4916(85)90148-4 / Ann. Phys. (1985)
10.1126/science.1148047 / Science (2007)

Dates

Type	When
Created	10 years, 4 months ago (April 8, 2015, 2:58 p.m.)
Deposited	2 years, 1 month ago (June 25, 2023, 3:36 p.m.)
Indexed	3 weeks, 3 days ago (July 30, 2025, 7:05 a.m.)
Issued	10 years, 4 months ago (April 8, 2015)
Published	10 years, 4 months ago (April 8, 2015)
Published Online	10 years, 4 months ago (April 8, 2015)
Published Print	10 years, 3 months ago (May 7, 2015)

Funders 1

National Research Foundation-Prime Minister's office, Republic of Singapore 10.13039/501100001381 National Research Foundation Singapore
Region: Asia
gov (National government)
Labels8
1. National Research Foundation-Prime Minister's office, Republic of Singapore
2. Singapore National Research Foundation
3. National Research Foundation of Singapore
4. National Research Foundation, Singapore
5. National Research Foundation, Singapore (NRF)
6. nrfsg
7. NRF Singapore
8. NRF
Awards1
1. NRF-NRFF2013-03

BibTeX

@article{Duong_2015, title={Quantum anomalous Hall effect and a nontrivial spin-texture in ultra-thin films of magnetic topological insulators}, volume={117}, ISSN={1089-7550}, url={http://dx.doi.org/10.1063/1.4917006}, DOI={10.1063/1.4917006}, number={17}, journal={Journal of Applied Physics}, publisher={AIP Publishing}, author={Duong, Le Quy and Das, Tanmoy and Feng, Y. P. and Lin, Hsin}, year={2015}, month=apr }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        7,
        30
      ]
    ],
    "date-time": "2025-07-30T11:05:21Z",
    "timestamp": 1753873521682,
    "version": "3.41.2"
  },
  "reference-count": 19,
  "publisher": "AIP Publishing",
  "issue": "17",
  "funder": [
    {
      "DOI": "10.13039/501100001381",
      "name": "National Research Foundation-Prime Minister's office, Republic of Singapore",
      "doi-asserted-by": "publisher",
      "award": [
        "NRF-NRFF2013-03"
      ],
      "id": [
        {
          "id": "10.13039/501100001381",
          "id-type": "DOI",
          "asserted-by": "publisher"
        }
      ]
    }
  ],
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        2015,
        5,
        7
      ]
    ]
  },
  "abstract": "<jats:p>We study the evolution of quantum anomalous Hall (QAH) effect for a Z2 topological insulator (TI) thin films in a proximity induced magnetic phase by a realistic layered k\u00b7p model with interlayer coupling. We examine three different magnetic configurations in which ferromagnetic (FM) layer(s) is added either from one side (FM-TI), from both sides (FM-TI-FM), or homogeneously distributed (magnetically doped) in a TI slab. We map out the thickness-dependent topological phase diagram under various experimental conditions. The critical magnetic exchange energy for the emergence of QAH effect in the latter two cases decreases monotonically with increasing number of quintuple layers (QLs), while it becomes surprisingly independent of the film thickness in the former case. The gap size of the emergent QAH insulator depends on the non-magnetic \u201cparent\u201d gap of the TI thin film and is tuned by the FM exchange energy, opening a versatile possibility to achieve room-temperature QAH insulator in various topological nanomaterials. Finally, we find that the emergent spin-texture in the QAH effect is very unconventional, non-\u201chedgehog\u201d type; and it exhibits a chiral out-of-plane spin-flip texture within the same valence band which is reminiscent of dynamical \u201cskyrmion\u201d pattern, except our results are in the momentum space.</jats:p>",
  "DOI": "10.1063/1.4917006",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2015,
        4,
        8
      ]
    ],
    "date-time": "2015-04-08T18:58:50Z",
    "timestamp": 1428519530000
  },
  "update-policy": "https://doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 2,
  "title": "Quantum anomalous Hall effect and a nontrivial spin-texture in ultra-thin films of magnetic topological insulators",
  "prefix": "10.1063",
  "volume": "117",
  "author": [
    {
      "given": "Le Quy",
      "family": "Duong",
      "sequence": "first",
      "affiliation": [
        {
          "name": "National University of Singapore Graphene Research Centre and Department of Physics, , Singapore 117546"
        }
      ]
    },
    {
      "given": "Tanmoy",
      "family": "Das",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "National University of Singapore Graphene Research Centre and Department of Physics, , Singapore 117546"
        }
      ]
    },
    {
      "given": "Y. P.",
      "family": "Feng",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "National University of Singapore Graphene Research Centre and Department of Physics, , Singapore 117546"
        }
      ]
    },
    {
      "given": "Hsin",
      "family": "Lin",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "National University of Singapore Graphene Research Centre and Department of Physics, , Singapore 117546"
        }
      ]
    }
  ],
  "member": "317",
  "published-online": {
    "date-parts": [
      [
        2015,
        4,
        8
      ]
    ]
  },
  "reference": [
    {
      "key": "2023062519362882100_c1",
      "doi-asserted-by": "publisher",
      "first-page": "3045",
      "DOI": "10.1103/RevModPhys.82.3045",
      "volume": "82",
      "year": "2010",
      "journal-title": "Rev. Mod. Phys."
    },
    {
      "key": "2023062519362882100_c2",
      "doi-asserted-by": "publisher",
      "first-page": "1057",
      "DOI": "10.1103/RevModPhys.83.1057",
      "volume": "83",
      "year": "2011",
      "journal-title": "Rev. Mod. Phys."
    },
    {
      "key": "2023062519362882100_c3a",
      "doi-asserted-by": "publisher",
      "first-page": "146805",
      "DOI": "10.1103/PhysRevLett.102.146805",
      "volume": "102",
      "year": "2009",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2023062519362882100_c3b",
      "doi-asserted-by": "publisher",
      "first-page": "284",
      "DOI": "10.1038/nphys1534",
      "volume": "6",
      "year": "2010",
      "journal-title": "Nat. Phys."
    },
    {
      "key": "2023062519362882100_c4",
      "doi-asserted-by": "publisher",
      "first-page": "61",
      "DOI": "10.1126/science.1187485",
      "volume": "329",
      "year": "2010",
      "journal-title": "Science"
    },
    {
      "key": "2023062519362882100_c5a",
      "doi-asserted-by": "publisher",
      "first-page": "2015",
      "DOI": "10.1103/PhysRevLett.61.2015",
      "volume": "61",
      "year": "1988",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2023062519362882100_c5b",
      "doi-asserted-by": "publisher",
      "first-page": "206601",
      "DOI": "10.1103/PhysRevLett.90.206601",
      "volume": "90",
      "year": "2003",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2023062519362882100_c5c",
      "doi-asserted-by": "publisher",
      "first-page": "085308",
      "DOI": "10.1103/PhysRevB.74.085308",
      "volume": "74",
      "year": "2006",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2023062519362882100_c6",
      "doi-asserted-by": "publisher",
      "first-page": "167",
      "DOI": "10.1126/science.1234414",
      "volume": "340",
      "year": "2013",
      "journal-title": "Science"
    },
    {
      "key": "2023062519362882100_c7",
      "doi-asserted-by": "publisher",
      "first-page": "32",
      "DOI": "10.1038/nphys1838",
      "volume": "7",
      "year": "2011",
      "journal-title": "Nat. Phys."
    },
    {
      "key": "2023062519362882100_c8",
      "doi-asserted-by": "publisher",
      "first-page": "616",
      "DOI": "10.1038/nphys2351",
      "volume": "8",
      "year": "2012",
      "journal-title": "Nat. Phys."
    },
    {
      "key": "2023062519362882100_c9",
      "doi-asserted-by": "publisher",
      "first-page": "659",
      "DOI": "10.1126/science.1189924",
      "volume": "329",
      "year": "2010",
      "journal-title": "Science"
    },
    {
      "key": "2023062519362882100_c10",
      "doi-asserted-by": "publisher",
      "first-page": "161414(R)",
      "DOI": "10.1103/PhysRevB.82.161414",
      "volume": "82",
      "year": "2010",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2023062519362882100_c11",
      "doi-asserted-by": "publisher",
      "first-page": "035104",
      "DOI": "10.1103/PhysRevB.86.035104",
      "volume": "86",
      "year": "2012",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2023062519362882100_c12",
      "doi-asserted-by": "publisher",
      "first-page": "1972",
      "DOI": "10.1038/ncomms2972",
      "volume": "4",
      "year": "2013",
      "journal-title": "Nat. Commun."
    },
    {
      "key": "2023062519362882100_c13",
      "doi-asserted-by": "publisher",
      "first-page": "097001",
      "DOI": "10.1103/PhysRevLett.105.097001",
      "volume": "105",
      "year": "2010",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2023062519362882100_c14",
      "doi-asserted-by": "publisher",
      "first-page": "245419",
      "DOI": "10.1103/PhysRevB.89.245419",
      "volume": "89",
      "year": "2014",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2023062519362882100_c15",
      "doi-asserted-by": "publisher",
      "first-page": "343",
      "DOI": "10.1016/0003-4916(85)90148-4",
      "volume": "160",
      "year": "1985",
      "journal-title": "Ann. Phys."
    },
    {
      "key": "2023062519362882100_c16",
      "doi-asserted-by": "publisher",
      "first-page": "766",
      "DOI": "10.1126/science.1148047",
      "volume": "318",
      "year": "2007",
      "journal-title": "Science"
    }
  ],
  "container-title": "Journal of Applied Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/jap/article-pdf/doi/10.1063/1.4917006/15163018/17c741_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/jap/article-pdf/doi/10.1063/1.4917006/15163018/17c741_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2023,
        6,
        25
      ]
    ],
    "date-time": "2023-06-25T19:36:34Z",
    "timestamp": 1687721794000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/jap/article/117/17/17C741/141036/Quantum-anomalous-Hall-effect-and-a-nontrivial"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        2015,
        4,
        8
      ]
    ]
  },
  "references-count": 19,
  "journal-issue": {
    "issue": "17",
    "published-print": {
      "date-parts": [
        [
          2015,
          5,
          7
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.4917006",
  "relation": {},
  "ISSN": [
    "0021-8979",
    "1089-7550"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        2015,
        5,
        7
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        2015,
        4,
        8
      ]
    ]
  },
  "article-number": "17C741"
}