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TT: Fachverband Tiefe Temperaturen

TT 6: Topological Semimetals

TT 6.1: Talk

Monday, March 27, 2023, 09:30–09:45, HSZ 304

Anomalous Hall and Nernst effects in Kane fermions — •Karun Gadge1,3, Sumanta Tewari2, and Girish Sharma31Institute for Theoretical Physics University of Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen — 2Department of Physics and Astronomy, Clemson University, Clemson, South Carolina, 29634, USA — 3School of Basic Sciences, Indian Institute of Technology, Mandi, Mandi 175005, India

Kane fermions are characterized by a linear Dirac cone intersecting with a flat band, resembling a pseudo-spin-1 Dirac semimetal. Similar to relativistic Dirac fermions, Kane fermions satisfy a linear energy-momentum relation and can be classified as being pseudorelativistic. Unlike Dirac fermions, they are not protected by symmetry or by topology, but respect time-reversal symmetry, and can emerge by suitable band engineering, for example, in mercury-telluride compounds. Here we discuss the reminiscences of Berry-phase physics in Kane fermions that emerge in the presence of broken time-reversal symmetry. We discuss anomalous transport in Kane fermions and show its similarity to transport in a Dirac semimetal. Furthermore, we study anisotropy in their response that can be probed in current experiments.

[1] PRB 105, 235420 (2022)

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