{ "id": "2306.14967", "version": "v1", "published": "2023-06-26T18:00:22.000Z", "updated": "2023-06-26T18:00:22.000Z", "title": "Quantum interference of pseudospin-1 fermions", "authors": [ "Adesh Singh", "G. Sharma" ], "comment": "5pages + 23 pages Supplemental Information", "categories": [ "cond-mat.mes-hall", "cond-mat.dis-nn", "cond-mat.quant-gas", "hep-th" ], "abstract": "Quantum interference is studied in a three-band model of pseudospin-one fermions in the $\\alpha-\\mathcal{T}_3$ lattice. We derive a general formula for magnetoconductivity that predicts a rich crossover between weak localization (WL) and weak antilocalization (WAL) in various scenarios. Recovering the known results for graphene ($\\alpha=0$), we remarkably discover that WAL is notably enhanced when one deviates slightly from the graphene lattice, i.e. when $\\alpha>0$, even though Berry's phase is no longer $\\pi$. This is attributed to the presence of multiple Cooperon channels. Upon further increasing $\\alpha$, a crossover to WL occurs that is maximal for the case of the Dice lattice ($\\alpha=1$). Our work distinctly underscores the role of non-trivial band topology in the localization properties of electrons confined to the two-dimensional $\\alpha-\\mathcal{T}_3$ lattice.", "revisions": [ { "version": "v1", "updated": "2023-06-26T18:00:22.000Z" } ], "analyses": { "keywords": [ "quantum interference", "non-trivial band topology", "multiple cooperon channels", "berrys phase", "pseudospin-one fermions" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }