Resonant nonlinear Hall effect in two-dimensional electron systems

Botsz Huang; Ali G. Moghaddam; Jorge I. Facio; Ching Hao Chang

doi:10.1103/PhysRevB.104.165303

Resonant nonlinear Hall effect in two-dimensional electron systems

Botsz Huang
, Ali G. Moghaddam
, Jorge I. Facio
, Ching Hao Chang

Physics

Research output: Contribution to journal › Article › Scientific › peer-review

3 Citations (Scopus)

58 Downloads (Pure)

Abstract

We study the Hall conductivity of a two-dimensional electron gas under an inhomogeneous magnetic field . First, we prove using the quantum kinetic theory that an odd magnetic field can lead to a purely nonlinear Hall response. Second, considering a real-space magnetic dipole consisting of a sign-changing magnetic field and based on numerical semiclassical dynamics, we unveil a parametric resonance involving the cyclotron ratio and a characteristic width of , which can greatly enhance the Hall response. Different from previous mechanisms that rely on the bulk Berry curvature dipole, the effect largely stems from boundary states associated with the real-space magnetic dipole. Our findings pave a way to engineer current rectification and higher harmonic generation in two-dimensional materials having or not having crystal inversion symmetry.

Original language	English
Article number	165303
Number of pages	9
Journal	Physical Review B
Volume	104
Issue number	16
DOIs	https://doi.org/10.1103/PhysRevB.104.165303
Publication status	Published - 2021
Publication type	A1 Journal article-refereed

Funding

We are thankful to Cosma Fulga, Jhih-Shih You, Sheng-Chin Ho, Tse-Ming Chen, Carmine Ortix, and Jeroen van den Brink for enlightening discussions. A.G.M. acknowledges financial support from Iran Science Elites Federation under Grant No. 11/66332. J.I.F. would like to thank the support from the Alexander von Humboldt Foundation. C.-H.C. acknowledges the financial support by the Ministry of Science and Technology (Grants No. MOST-107-2112-M-006-025-MY3, No. MOST-108-2638-M-006-002-MY2, and No. MOST 110-2112-M-006-020-) and by the Yushan Young Scholar Program under the Ministry of Education (MOE) in Taiwan. Alexander von Humboldt-Stiftung Ministry of Science and Technology, Taiwan

Publication forum classification

Publication forum level 2

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.104.165303

Resonant nonlinear Hall effect
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Cite this

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title = "Resonant nonlinear Hall effect in two-dimensional electron systems",

abstract = "We study the Hall conductivity of a two-dimensional electron gas under an inhomogeneous magnetic field . First, we prove using the quantum kinetic theory that an odd magnetic field can lead to a purely nonlinear Hall response. Second, considering a real-space magnetic dipole consisting of a sign-changing magnetic field and based on numerical semiclassical dynamics, we unveil a parametric resonance involving the cyclotron ratio and a characteristic width of , which can greatly enhance the Hall response. Different from previous mechanisms that rely on the bulk Berry curvature dipole, the effect largely stems from boundary states associated with the real-space magnetic dipole. Our findings pave a way to engineer current rectification and higher harmonic generation in two-dimensional materials having or not having crystal inversion symmetry.",

author = "Botsz Huang and Moghaddam, \{Ali G.\} and Facio, \{Jorge I.\} and Chang, \{Ching Hao\}",

note = "Funding Information: We are thankful to Cosma Fulga, Jhih-Shih You, Sheng-Chin Ho, Tse-Ming Chen, Carmine Ortix, and Jeroen van den Brink for enlightening discussions. A.G.M. acknowledges financial support from Iran Science Elites Federation under Grant No. 11/66332. J.I.F. would like to thank the support from the Alexander von Humboldt Foundation. C.-H.C. acknowledges the financial support by the Ministry of Science and Technology (Grants No. MOST-107-2112-M-006-025-MY3, No. MOST-108-2638-M-006-002-MY2, and No. MOST 110-2112-M-006-020-) and by the Yushan Young Scholar Program under the Ministry of Education (MOE) in Taiwan. Funding Information: Alexander von Humboldt-Stiftung Ministry of Science and Technology, Taiwan Publisher Copyright: {\textcopyright} 2021 American Physical Society",

year = "2021",

doi = "10.1103/PhysRevB.104.165303",

language = "English",

volume = "104",

journal = "Physical Review B",

issn = "2469-9950",

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number = "16",

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AU - Huang, Botsz

AU - Moghaddam, Ali G.

AU - Facio, Jorge I.

AU - Chang, Ching Hao

N1 - Funding Information: We are thankful to Cosma Fulga, Jhih-Shih You, Sheng-Chin Ho, Tse-Ming Chen, Carmine Ortix, and Jeroen van den Brink for enlightening discussions. A.G.M. acknowledges financial support from Iran Science Elites Federation under Grant No. 11/66332. J.I.F. would like to thank the support from the Alexander von Humboldt Foundation. C.-H.C. acknowledges the financial support by the Ministry of Science and Technology (Grants No. MOST-107-2112-M-006-025-MY3, No. MOST-108-2638-M-006-002-MY2, and No. MOST 110-2112-M-006-020-) and by the Yushan Young Scholar Program under the Ministry of Education (MOE) in Taiwan. Funding Information: Alexander von Humboldt-Stiftung Ministry of Science and Technology, Taiwan Publisher Copyright: © 2021 American Physical Society

PY - 2021

Y1 - 2021

N2 - We study the Hall conductivity of a two-dimensional electron gas under an inhomogeneous magnetic field . First, we prove using the quantum kinetic theory that an odd magnetic field can lead to a purely nonlinear Hall response. Second, considering a real-space magnetic dipole consisting of a sign-changing magnetic field and based on numerical semiclassical dynamics, we unveil a parametric resonance involving the cyclotron ratio and a characteristic width of , which can greatly enhance the Hall response. Different from previous mechanisms that rely on the bulk Berry curvature dipole, the effect largely stems from boundary states associated with the real-space magnetic dipole. Our findings pave a way to engineer current rectification and higher harmonic generation in two-dimensional materials having or not having crystal inversion symmetry.

AB - We study the Hall conductivity of a two-dimensional electron gas under an inhomogeneous magnetic field . First, we prove using the quantum kinetic theory that an odd magnetic field can lead to a purely nonlinear Hall response. Second, considering a real-space magnetic dipole consisting of a sign-changing magnetic field and based on numerical semiclassical dynamics, we unveil a parametric resonance involving the cyclotron ratio and a characteristic width of , which can greatly enhance the Hall response. Different from previous mechanisms that rely on the bulk Berry curvature dipole, the effect largely stems from boundary states associated with the real-space magnetic dipole. Our findings pave a way to engineer current rectification and higher harmonic generation in two-dimensional materials having or not having crystal inversion symmetry.

U2 - 10.1103/PhysRevB.104.165303

DO - 10.1103/PhysRevB.104.165303

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VL - 104

JO - Physical Review B

JF - Physical Review B

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M1 - 165303

ER -

Resonant nonlinear Hall effect in two-dimensional electron systems

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