Abstract
Electrons in Type II Weyl semimetals display one-way propagation, which supports totally reflecting behavior at an endpoint, as one has for black hole horizons viewed from the inside. Junctions of Type I and Type II lead to equations identical to what one has near black hole horizons, but the physical implications, we suggest, are quite different from expectations which are conventional in that context. The time-reversed, "white hole" configuration is also physically accessible.
Highlights
Junctions of type I and type II lead to equations identical to what one has near black hole horizons, but the physical implications, we suggest, are quite different from expectations which are conventional in that context
We have demonstrated that models of fermion propagation which arise as simple idealizations of behavior in type II Weyl semimetals and their junctions map onto models of fermion propagation in space-times with unusual causal structures: black holes, white holes, universal sources and universal sinks
In realistic Weyl semimetals there are always additional states at the Fermi level, in addition to those described by the linearized low energy theory with a tilted Weyl cone
Summary
Since condensed matter systems do not have Lorentz symmetry, an extra contribution to the Hamiltonian of the form Htilt = κ · p can appear, where κ is a parameter depending on the details of the material [31] These details might constrain κ to have some special form but here we consider a more general κ. Κ can become space-dependent, for example, around the interface between Weyl semimetals of types I and II To explore this analogy mathematically, we consider the Lagrangian density. There is an event horizon at |κ| = 1 This suggests that a condensed matter system which is described by the Lagrangian in Eq (1) might supply an experimentally accessible vehicle to explore behaviors suggested for black holes, notably including Hawking radiation. Before suggesting how this dilemma can be resolved, let us expand the context of the discussion, by considering the
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