Preprint

Relativistic horizon of interacting Weyl fermions in condensed matter systems

Wei-Chi ChiuDepartment of Physics , Northeastern University , Boston , MA 02115 , USAChang, GuoqingInstitute of Applied PhysicsGennevieve M. MacamDepartment of Physics , National Sun Yat-sen University , Kaohsiung 80424 , TaiwanIlya BelopolskiLaboratory for Topological Quantum Matter and Advanced Spectroscopy (B7) , Department of Physics , Princeton University , Princeton , New Jersey 08544 , USAShin-Ming HuangDepartment of Physics , National Sun Yat-sen University , Kaohsiung 80424 , TaiwanR. S. MarkiewiczDepartment of Physics , Northeastern University , Boston , MA 02115 , USAJia‐Xin YinZi-jia ChengChi‐Cheng LeeDepartment of Physics , Tamkang University , Tamsui , New Taipei 251301 , TaiwanTay‐Rong ChangFeng‐Chuan ChuangSu‐Yang XuDepartment of Chemistry and Chemical Biology , Harvard University , Cambridge , MA , USAHsin LinAcademia SinicaM. Zahid HasanArun BansilDepartment of Physics , Northeastern University , Boston , MA 02115 , USA

2022en

Ochiq kirishYashil

ABI

Annotatsiya

The intersections of topology, geometry and strong correlations offer many opportunities for exotic quantum phases to emerge in condensed matter systems. Weyl fermions, in particular, provide an ideal platform for exploring the dynamical instabilities of single-particle physics under interactions. Despite its fundamental role in relativistic field theory, the concept of causality and the associated spacetime light cone and event horizon has not been considered in connection with interacting Weyl fermionic excitations in quantum matter. Here, by using charge-density wave (CDW) as an example, we unveil the behavior of interacting Weyl fermions and show that a Weyl fermion in a system can open a band gap by interacting only with other Weyl fermions that lie within its energy-momentum dispersion cone. In this sense, causal connections or interactions are only possible within overlapping dispersion cones and each dispersion cone thus constitutes a solid-state analogue of the more conventional `event horizon' of high-energy physics. Our study provides a universal framework for considering interacting relativistic quasiparticles in condensed matter by separating them into energy-like and momentum-like relationships in analogy with the time-like and space-like events in high-energy physics. Finally, we consider two different candidate materials for hosting the Weyl CDW phase: (TaSe$_4$)$_2$I and Mo$_3$Al$_2$C. Our study greatly enriches the phenomenology and unveils new connections between condensed matter and high-energy physics.

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DOI: 10.48550/arxiv.2201.04757

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