Do we field high energy physics inside (almost) every solid or fluid at low temperature?

TL;DR

This paper explores the idea that high energy physics phenomena, like Weyl equations and chiral anomalies, can emerge in low-temperature condensed matter systems with minimal symmetry, such as Weyl semimetals.

Contribution

It proposes that general solid or fluid materials with only translation symmetry can exhibit relativistic quantum behaviors, bridging high energy physics and condensed matter physics.

Findings

Theoretical prediction of high magneto-conductivity due to chiral anomaly effects.

Detection of Weyl semimetal behaviors in experiments.

Connection between fundamental physics and condensed matter systems.

Abstract

It is an old idea of ours (H. B. "Nielsen Dual Models" section 6 "Catastrophe Theory Program" Scottish University Summer school 1976) that a most general material with only translation symmetry, but otherwise no symmetries should generically (in general) have some small regions in quasi momentum space, where you "see" an approximate Weyl equation behavior. The Weyl equation is the relativistic equation for a (left handed) neutrino. This remark means that one could imagine, that there were behind the Standard Model of High energy physics, a very general crystal model with very little symmetry. Even for the Yang Mills or electrodynamics types fields a similar philosophy is possible. There are though some problems with this solid-state type of model beyond the Standard model, for which we thought have some remedy by means of homolumo gap effects. By making use of relativistic quantum field theory on thelattice, in nano-scale condensed matter, we predicted theoretically very high magneto-conducting due to Adler-Bell-Jackiw chiral anomaly effect - so called Nielsen-Ninomiya effect (or mechanism) in gapless parity violating material. Nowadays this kind of material such as chiral or Weyl semimetal and the effect are detected by experiments.