Fermions with cubic and quartic spectrum

Abstract

We study exotic fermions with spectrum E^2 ~ p^{2N}. Such spectrum emerges in the vicinity of the Fermi point with multiple topological charge N, if special symmetry is obeyed. When this symmetry is violated, the multiple Fermi point typically splits into N elementary Fermi points -- Dirac points with N=1 and spectrum E^2 ~ p^2 .

6 pages, 6 figures, JETP Letters style, version submitted to JETP Letters, references added

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Cited by in corpus (14)

• Z2Pack: Numerical Implementation of Hybrid Wannier Centers for Identifying Topological Materials
• An Optical-Lattice-Based Quantum Simulator For Relativistic Field Theories and Topological Insulators
• Composite Weyl nodes stabilized by screw symmetry with and without time reversal
• Topological Semimetal Nanostructures: From Properties to Topotronics
• Predicted Realization of Cubic Dirac Fermion in Quasi-One-Dimensional Transition-Metal MonoChalcogenides
• Tunable double-Weyl Fermion semimetal state in the SrSi${}_2$ materials class
• Manipulation of Dirac points in graphene-like crystals
• Higher-dimensional SYK Non-Fermi Liquids at Lifshitz transitions
• Spontaneous quantum Hall effect via thermally induced quadratic Fermi point
• Supersymmetry breaking and Nambu-Goldstone fermions with cubic dispersion
• Evolution and dimensional crossover from the bulk subbands in ABC-stacked graphene to a three-dimensional Dirac cone structure in rhombohedral graphite
• Tunable multiple layered Dirac cones in optical lattices
• Chiral Vortical Effect in Fermi Liquid
• Bound states of quasiparticles with quartic dispersion in an external potential: WKB approach