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2021•npj Quantum MaterialsOpen access

3D quantum Hall effects and nonlinear Hall effect

Shuai Li, C. M. Wang, Z. Z. Du, Fang Qin, Hai‐Zhou Lu, X. C. Xie

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Abstract

Abstract The classical and quantum Hall effects are important subjects in condensed matter physics. The emergent 3D quantum Hall effects and nonlinear Hall effect have attracted considerable interest recently, with the former elevating the quantum Hall effect to a higher dimension and the latter extending the Hall effect to higher-order responses. In this perspective, we briefly introduce these two new members of the Hall family and discuss the open questions and future research directions.

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Abstract The classical and quantum Hall effects are important subjects in condensed matter physics. The emergent 3D quantum Hall effects and nonlinear Hall effect have attracted considerable interest recently, with the former elevating the quantum Hall effect to a higher dimension and the latter extending the Hall effect to higher-order responses. In this perspective, we briefly introduce these two new members of the Hall family and discuss the open questions and future research directions.

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Available abstract

Abstract The classical and quantum Hall effects are important subjects in condensed matter physics. The emergent 3D quantum Hall effects and nonlinear Hall effect have attracted considerable interest recently, with the former elevating the quantum Hall effect to a higher dimension and the latter extending the Hall effect to higher-order responses. In this perspective, we briefly introduce these two new members of the Hall family and discuss the open questions and future research directions.

Key concepts: Quantum Hall effect, Quantum spin Hall effect, Physics, Hall effect, Condensed matter physics, Fractional quantum Hall effect, Thermal Hall effect, Quantum mechanics

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