Unconventional quantum Hall effects in two-dimensional massive spin-1 fermion systems

Abstract

Unconventional fermions with high degeneracies in three dimensions beyond Weyl and Dirac fermions have sparked tremendous interest in condensed matter physics. Here, we study quantum Hall effects (QHEs) in a two-dimensional (2D) unconventional fermion system with a pair of gapped spin-1 fermions. We find that the original unlimited number of zero energy Landau levels (LLs) in the gapless case develop into a series of bands, leading to a novel QHE phenomenon that the Hall conductance first decreases (or increases) to zero and then revives as an infinite ladder of fine staircase when the Fermi surface is moved toward zero energy, and it suddenly reverses with its sign being flipped due to a Van Hove singularity when the Fermi surface is moved across zero. We further investigate the peculiar QHEs in a dice model with a pair of spin-1 fermions, which agree well with the results of the continuous model.

7 pages, 5 figures, references updated, typos corrected and manuscript thoroughly revised

References in corpus (13)

• The electronic properties of graphene
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Unconventional Integer Quantum Hall effect in graphene
• Spectroscopic evidence for type II Weyl semimetal state in MoTe2
• Experimental Observation of Three-Component 'New Fermions' in Topological Semimetal MoP
• Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
• Co-existence of Weyl Fermion and Massless Triply Degenerate Nodal Points
• New fermions on the line in topological symmorphic metals
• Blue Phosphorene Oxide: Strain-tunable Quantum Phase Transitions and Novel 2D Emergent Fermions
• Magnetotransport properties of the $\alpha$-T${}_3$ model
• Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to C > 1 Fractional Chern Insulators
• Frequency dependent magneto-optical conductivity in the generalized $\alpha -T_3$ model
• Magneto-optics of general pseudospin-s two-dimensional Dirac-Weyl fermions

Cited by in corpus (27)

• Topological quantum matter with cold atoms
• Photoinduced valley and electron-hole symmetry breaking in $\alpha$-$T_3$ lattice: The role of a variable Berry phase
• Electron states for gapped pseudospin-1 fermions in the field of charged impurity
• The centrosymmetric Li2NaN material: an ideal topological semimetal with critical-type triply degenerate nodal points
• Unconventional phases in a Haldane model of dice lattice
• Prediction of Ideal Topological Semimetals with Triply Degenerate Points in NaCu${}_3$Te${}_2$ Family
• RKKY interaction in a doped pseudospin-1 fermion system at finite temperature
• Prediction of three-fold fermions in a nearly-ideal Dirac semimetal BaAgAs
• Flat band, spin-1 Dirac cone, and Hofstadter diagram in the fermionic square kagome model
• Strain-induced pseudo-magnetic field in $\alpha -{\mathcal{T}}_3$ lattice
• Magnon-magnon interaction and magnon relaxation time in ferromagnetic Cr2Ge2Te6 monolayer
• Coexistence of spin-1 fermion and Dirac fermion on the triangular kagome lattice
• Electronic states of pseudospin-1 fermions in $\alpha -{\mathcal{T}}_3$ lattice ribbons in a magnetic field
• Topological metal bands with double-triple-point fermions in optical lattices
• Holstein polaron in a pseudospin-$1$ quantum spin Hall system: first and second order topological phase transitions
• Valley-contrasting interband transitions and excitons in symmetrically biased dice model
• Anomalous transport in pseudospin-1 fermions
• One-dimensional flat bands and Dirac cones in narrow zigzag dice lattice ribbons
• Triply degenerate nodal lines in topological and non-topological metals
• Zigzag dice lattice ribbons: Distinct edge morphologies and structure-spectrum correspondences
• Layer-by-layer assembly of multilayer optical lattices: Application to displaced dice lattice
• Topological phases in $\alpha$-Li${}_3$N-type crystal structure of light-element compounds
• SU(3) fermions in a three-band Graphene-like model
• Effective Spin-2 Quasi-particles at Linear Dispersive Five-fold Degenerate Points with Tunable Topological Chern Numbers
• Current distribution and group velocities for electronic states on $\alpha -{\mathcal{T}}_3$ lattice ribbons in a magnetic field
• Unconventional transport properties in systems with triply degenerate quadratic band crossings
• Parity Anomaly of Lattice Maxwell Fermions in Two Spatial Dimensions