PMID- 32947280 OWN - NLM STAT- PubMed-not-MEDLINE LR - 20220117 IS - 1361-648X (Electronic) IS - 0953-8984 (Linking) VI - 33 IP - 4 DP - 2020 Oct 28 TI - Anomalous Hall transport in tilted multi-Weyl semimetals. LID - 10.1088/1361-648X/abb9b8 [doi] AB - We study the effect of a perpendicular magnetic fieldBon a multinode Weyl semimetal (mWSM) of arbitrary integer monopole chargen, with the two Weyl multinodes separated ink-space. Besides type-I mWSMs, there exist type-II mWSMs which are characterized by the tilted minimal dispersion for low-energy excitations; the Weyl points in type-II mWSMs are still protected crossings but appear at the contact of the electron and hole pockets, after the Lifshitz transition. We find that the presence of a perpendicular magnetic field quantizes the occupation pockets due to the presence of Fermi tubes. In this theory, the Hilbert space is spanned by a set ofnchiral degenerate ground states, and a countably infinite number of particle-hole symmetric Landau levels (LLs). We calculate the Hall conductivity for the tilt-symmetric case of type-I mWSM using the Kubo formula, in the zero-frequency (DC) limit, and recover the well-known vacuum contribution. We compute the Fermi surface corrections and show that the expression generalizes from the formula for elementary (n= 1) type-I WSMs. We derive an expression for the type-II mWSM Hall conductivity, which is bounded by a LL cutoff introduced on physical grounds. Interestingly, we find that the anomalous vacuum Hall conductivity is vanishing in the type-II phase at all temperatures. The corresponding thermal Hall and Nernst conductivities are evaluated and characterized for both phases. The qualitative and quantitative observations presented here may serve in the characterization of generic mWSMs of both types. CI - (c) 2020 IOP Publishing Ltd. FAU - Menon, Anirudha AU - Menon A AUID- ORCID: 0000-0001-8870-6451 AD - Department of Physics, University of California, Davis, California 95616, United States of America. FAU - Basu, Banasri AU - Basu B AD - Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700108, India. LA - eng PT - Journal Article DEP - 20201028 PL - England TA - J Phys Condens Matter JT - Journal of physics. Condensed matter : an Institute of Physics journal JID - 101165248 SB - IM OTO - NOTNLM OT - Hall physics OT - Weyl fermions OT - correlated electrons OT - topological materials OT - transport EDAT- 2020/09/19 06:00 MHDA- 2020/09/19 06:01 CRDT- 2020/09/18 20:24 PHST- 2020/07/10 00:00 [received] PHST- 2020/09/18 00:00 [accepted] PHST- 2020/09/19 06:00 [pubmed] PHST- 2020/09/19 06:01 [medline] PHST- 2020/09/18 20:24 [entrez] AID - 10.1088/1361-648X/abb9b8 [doi] PST - epublish SO - J Phys Condens Matter. 2020 Oct 28;33(4). doi: 10.1088/1361-648X/abb9b8.