A New Spin Gapless Semiconductors Family: Quaternary Heusler Compounds
G. Z. Xu, E. K. Liu, Y. Du, G. J. Li, G. D. Liu, W. H. Wang, and G. H., Wu

TL;DR
This study identifies a new family of quaternary Heusler compounds exhibiting spin gapless semiconducting behavior, characterized by unique electronic structures and a semi-empirical rule for their identification.
Contribution
The paper introduces a new class of spin gapless semiconductors within quaternary Heusler compounds and proposes a semi-empirical rule based on valence electrons for their identification.
Findings
Five compounds exhibit spin gapless semiconducting behavior.
A semi-empirical rule based on valence electrons (26 or 28) predicts these materials.
Electronic and magnetic properties are analyzed under lattice distortions.
Abstract
Using first-principles calculations, we investigate the band structures of a series of quaternary LiMgPdSn-type Heusler compounds. Our calculation results show that five compounds CoFeMnSi, CoFeCrAl, CoMnCrSi, CoFeVSi and FeMnCrSb possess unique electronic structures characterized by a half-metallic gap in one spin direction while a zero-width gap in the other spin direction showing spin gapless semiconducting behavior. We further analysis the electronic and magnetic properties of all quaternary Heusler alloys involved, and reveal a semi-empirical general rule (total valence electrons number being 26 or 28) for indentifying spin gapless semiconductors in Heusler compounds. The influences of lattice distortion and main-group element change have also been discussed.
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