Causal structure of interacting Weyl fermions in condensed matter systems

Chiu, Wei-Chi; Chang, Guoqing; Macam, Gennevieve; Belopolski, Ilya; Huang, Shin-Ming; Markiewicz, Robert; Yin, Jia-Xin; Cheng, Zi-Jia; Lee, Chi-Cheng; Chang, Tay-Rong; Chuang, Feng-Chuan; Xu, Su-Yang; Lin, Hsin; Hasan, M. Zahid; Bansil, Arun

doi:10.1038/s41467-023-37931-w

Title: Causal structure of interacting Weyl fermions in condensed matter systems

Journal Article · 18 April 2023 · Nature Communications

DOI: https://doi.org/10.1038/s41467-023-37931-w · OSTI ID:1970531

;

; Macam, Gennevieve; Belopolski, Ilya; Huang, Shin-Ming; Markiewicz, Robert; Yin, Jia-Xin; Cheng, Zi-Jia;

; Chang, Tay-Rong; Chuang, Feng-Chuan;

;

Abstract The spacetime light cone is central to the definition of causality in the theory of relativity. Recently, links between relativistic and condensed matter physics have been uncovered, where relativistic particles can emerge as quasiparticles in the energy-momentum space of matter. Here, we unveil an energy-momentum analogue of the spacetime light cone by mapping time to energy, space to momentum, and the light cone to the Weyl cone. We show that two Weyl quasiparticles can only interact to open a global energy gap if they lie in each other’s energy-momentum dispersion cones–analogous to two events that can only have a causal connection if they lie in each other’s light cones. Moreover, we demonstrate that the causality of surface chiral modes in quantum matter is entangled with the causality of bulk Weyl fermions. Furthermore, we identify a unique quantum horizon region and an associated ‘thick horizon’ in the emergent causal structure.

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Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Center for the Advancement of Topological Semimetals (CATS); Iowa State Univ., Ames, IA (United States); Princeton Univ., NJ (United States)

Sponsoring Organization:: US Air Force Office of Scientific Research (AFOSR); USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC02-07CH11358; FG02-05ER46200

OSTI ID:: 1970531

Journal Information:: Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 14; ISSN 2041-1723

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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