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. TheWeyl 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 the lattice we predicted theoretically very high magneto-conduction 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 orWeyl semimetal and the effect are detected by experiments.
Original language | English |
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Journal | Blejske Delavnice iz Fizike |
Volume | 19 |
Issue number | 2 |
Pages (from-to) | 216-246 |
ISSN | 1580-4992 |
Publication status | Published - 1 Dec 2018 |