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We report intertwined Weyl phases, which come from superposing topological phases by crystalline symmetry. In the intertwined Weyl phases, an unconventional Weyl phase where Weyl points possess a higher charge (monopole charge>1) due to rotation symmetry, and a higher-order topological phase enforced by rotation symmetry, are superposed. The two phases are no longer separable, but intertwine with each other, resulting in the novel phase. Remarkably, the intertwining leads to a prominent characteristic feature of the intertwined Weyl phases: $textit{the change of Fermi-arc topology}$ in a periodic pattern, i.e., the way how Fermi arcs connect to Weyl points changes drastically with respect to surface orientation, which exhibits a periodic pattern. Such a phenomenon is absent in any individual phase alone. Moreover, we elaborate on how to emulate the intertwined double-Weyl phase in cold atoms. Our theory is quite promising for generating new topological phases based on existing ones.
We investigate higher-order Weyl semimetals (HOWSMs) having bulk Weyl nodes attached to both surface and hinge Fermi arcs. We identify a new type of Weyl node, that we dub a $2nd$ order Weyl node, that can be identified as a transition in momentum sp
In quantum field theory, we learn that fermions come in three varieties: Majorana, Weyl, and Dirac. Here we show that in solid state systems this classification is incomplete and find several additional types of crystal symmetry-protected free fermio
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In recent theoretical and experimental investigations, researchers have linked the low-energy field theory of a Weyl semimetal gapped with a charge-density wave (CDW) to high-energy theories with axion electrodynamics. However, it remains an open que
The study of topological band structures have sparked prominent research interest the past decade, culminating in the recent formulation of rather prolific classification schemes that encapsulate a large fraction of phases and features. Within this c