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

Xu, Yong; Duan, Luming

doi:10.1103/physrevb.96.155301

Cited by 53 publications

(34 citation statements)

References 58 publications

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“…Very recently, considerable attention have been paid to searching for unconventional massless fermionic excitations beyond Dirac and Weyl paradigm [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. In contrast to particles in high-energy physics constrained by Poincaré symmetry, quasiparticles in a lattice system are only constrained by certain subgroups (space groups) of the Poincaré symmetry, which allows the emergence of "new fermions" (fermionic quasiparticles beyond the Dirac-Weyl-Majorana classification) in some band structures with three-or morefold degeneracies [14].In particular, triple-point (three-component) fermions as spin-1 generalization of Weyl fermions in certain topological metal bands with threefold degeneracies were theoretically predicted and then experimental observed in some condensed matter materials [15,23].…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, it has been proposed that the spin-1 triplepoint fermions can emerge in some topological metal bands in cold atom systems [24][25][26], which can even be simulated in parameter space [69,70]. Due to the elusive nature of triple-point fermions in real materials and their exotic properties [14][15][16][17][18][19][20][21][22][23][24][25][26], proposals for realizing other types of triple-point fermions in artifical cold atom systems would be of great value.…”

Section: Introductionmentioning

confidence: 99%

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Topological metal bands with double-triple-point fermions in optical lattices

Mai

Zhu

et al. 2018

Phys. Rev. A

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Novel fermionic quasiparticles with integer pseudospins in some energy bands, such as pseudospin-1 triple-point fermions, recently attract increasing interest since they are beyond the conventional spin-1/2 Dirac and Weyl counterparts. In this paper, we propose a class of pseudospin-1 fermioic excitations emerging in topological metal bands, dubbed double-triple-point (DTP) fermions. We first present a general three-band continuum model with C4 symmetry in three dimensions, which has three types of threefold degenerate points in the bands classified by their topological charges C = ±4, ±2, 0, respectively. They are dubbed DTPs as spin-1 generalization of double-Weyl points. We then construct two-dimensional and three-dimensional tight-binding lattice models of topological metal bands with exotic DTP fermions near the DTPs. In two dimensions, the band gaps close at a trivial DTP with zero Berry phase, which occurs at the transition between the normal and topological insulator phases. In three dimensions, the topological properties of three different DTP fermions in lattice systems are further investigated, and the effects of breaking C4 symmetry are also studied, which generally leads to splitting each quadratic DTP into two linear triple points and gives topological phase diagrams. Using ultracold fermionic atoms in optical lattices, the proposed models can be realized and the topological properties of the DTP fermions can be detected. * Electronic address: danweizhang@m.scnu.edu.cn † Electronic address: slzhu@nju.edu.cn arXiv:1810.11560v1 [cond-mat.quant-gas]

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Topological metal bands with double-triple-point fermions in optical lattices

Mai

Zhu

et al. 2018

Phys. Rev. A

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“…The properties of the topological Maxwell quasiparticles that are analogous to the Dirac and Weyl fermions can be further investigated, for example, the relativistic wave dynamics with Klein tunneling [49] and Zitterbewegung oscillations [50], and the unconventional transport properties [51]. All of these properties can have unique features.…”

Section: Discussionmentioning

confidence: 99%

Emergent pseudospin-1 Maxwell fermions with a threefold degeneracy in optical lattices

et al. 2017

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The discovery of relativistic spin-1/2 fermions such as Dirac and Weyl fermions in condensed matter or artificial systems opens a new era in modern physics. An interesting but rarely explored question is whether other relativistic spinal excitations could be realized with artificial systems. Here, we construct two-and three-dimensional tight-binding models realizable with cold fermionic atoms in optical lattices, where the low energy excitations are effectively described by the spin-1 Maxwell equations in the Hamiltonian form. These relativistic (linear dispersion) excitations with unconventional integer pesudospin, beyond the Dirac-Weyl-Majorana fermions, are a new kind of fermions named as Maxwell fermions. We demonstrate that the systems have rich topological features. For instance, the threefold degenerate points called Maxwell points may have quantized Berry phases and anomalous quantum Hall effects with spin-momentum locking may appear in topological Maxwell insulators in the two-dimensional lattices. In three dimensions, Maxwell points may have nontrivial monopole charges of ±2 with two Fermi arcs connecting them, and the merging of the Maxwell points leads to topological phase transitions. Finally, we propose realistic schemes for realizing the model Hamiltonians and detecting the topological properties of the emergent Maxwell quasiparticles in optical lattices. arXiv:1712.00777v1 [cond-mat.quant-gas]

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“…is the magnetic length, s=± denotes the conduction band and valence band respectively with the LL index n=1, 2, ..., and s=0 labels the LL at zero energy with index n=0, 2, 3, ... [29,42,43]. The total number of the Landau indexes N Φ for each band is determined by the semiclassical quantization rule [44] N eB…”

Section: Low-energy Effective Hamiltonian and Llsmentioning

confidence: 99%

Magnetic field independent shape of the zero-energy landau levels in a disordered T₃ model

Yang

Chen

et al. 2019

New J. Phys.

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Using the Lanczos recursion method, we exactly determine the shape of the zero-energy Landau level (LL) in a disordered T 3 lattice under a strong magnetic field. We discover that the shape of the zeroenergy LL depends on the distribution of disorder, but is independent of magnetic field strength. Our analytical study attributes this intriguing behavior to the macroscopic and magnetic field independent degeneracy owing to the existence of the flat band. Moreover, our simulations unravel that the density of states obeys an unconventional scaling law, leading to the fact that the relation between the magnetoconductivity and the carrier density is independent of the disorder strength.

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

Cited by 53 publications

References 58 publications

Topological metal bands with double-triple-point fermions in optical lattices

Topological metal bands with double-triple-point fermions in optical lattices

Emergent pseudospin-1 Maxwell fermions with a threefold degeneracy in optical lattices

Magnetic field independent shape of the zero-energy landau levels in a disordered T₃ model

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

Cited by 53 publications

References 58 publications

Topological metal bands with double-triple-point fermions in optical lattices

Topological metal bands with double-triple-point fermions in optical lattices

Emergent pseudospin-1 Maxwell fermions with a threefold degeneracy in optical lattices

Magnetic field independent shape of the zero-energy landau levels in a disordered T3 model

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Magnetic field independent shape of the zero-energy landau levels in a disordered T₃ model