We study the interaction effect in a three-dimensional Dirac semimetal and find that two competing orders, charge-density-wave orders and nematic orders, can be induced to gap the Dirac points. Applying a magnetic field can further induce an instability towards forming these ordered phases. The charge-density-wave phase is similar to that of aWeyl semimetal, while the nematic phase is unique for Dirac semimetals. Gapless zero modes are found in the vortex core formed by nematic order parameters, indicating the topological nature of nematic phases. The nematic phase can be observed experimentally using scanning tunneling microscopy.
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Korea Adv Inst Sci & Technol, Dept Phys, Daejeon 34141, South KoreaKorea Adv Inst Sci & Technol, Dept Phys, Daejeon 34141, South Korea
Han, SangEun
Cho, Gil Young
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Korea Inst Adv Study, Sch Phys, Seoul 02455, South Korea
Pohang Univ Sci & Technol POSTECH, Dept Phys, Pohang 37673, South KoreaKorea Adv Inst Sci & Technol, Dept Phys, Daejeon 34141, South Korea
Cho, Gil Young
Moon, Eun-Gook
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Korea Adv Inst Sci & Technol, Dept Phys, Daejeon 34141, South KoreaKorea Adv Inst Sci & Technol, Dept Phys, Daejeon 34141, South Korea
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Japan Atom Energy Agcy, Adv Sci Res Ctr, Tokai, Ibaraki 3191195, JapanJapan Atom Energy Agcy, Adv Sci Res Ctr, Tokai, Ibaraki 3191195, Japan
Araki, Yasufumi
Watanabe, Jin
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Tohoku Univ, Inst Mat Res, Sendai, Miyagi 9808577, JapanJapan Atom Energy Agcy, Adv Sci Res Ctr, Tokai, Ibaraki 3191195, Japan
Watanabe, Jin
Nomura, Kentaro
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Tohoku Univ, Inst Mat Res, Sendai, Miyagi 9808577, Japan
Tohoku Univ, Ctr Spintron Res Network, Sendai, Miyagi 9808577, JapanJapan Atom Energy Agcy, Adv Sci Res Ctr, Tokai, Ibaraki 3191195, Japan
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Columbia Univ, Dept Phys, New York, NY 10027 USAColumbia Univ, Dept Phys, New York, NY 10027 USA
Lo, Chiu Fan Bowen
Po, Hoi Chun
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MIT, Dept Phys, Boston, MA 02139 USA
Hong Kong Univ Sci & Technol, Dept Phys, Clear Water Bay, Hong Kong 999077, Peoples R ChinaColumbia Univ, Dept Phys, New York, NY 10027 USA
Po, Hoi Chun
Nevidomskyy, Andriy H.
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Rice Univ, Dept Phys & Astron, Houston, TX 77005 USA
Rice Univ, Rice Ctr Quantum Mat, Houston, TX 77005 USAColumbia Univ, Dept Phys, New York, NY 10027 USA