Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals

Moors, Kristof; Zyuzin, A. A.; Zyuzin, A. Yu.; Tiwari, Rakesh P.; Schmidt, Thomas L.

doi:10.1103/physrevb.99.041116

Cited by 102 publications

(65 citation statements)

References 54 publications

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“…The chiral effect gives the signs ± to ξ. In 3D Dirac/Weyl semimetal, the perturbations can remove the nodal line and leave the nodes [56], while the nodes can not be removed but can only be shifted [47]. As we mentioned above, since the spin rotation is missing due to the Dirac δ-type impurity field, the rotational invariance is presented, which is also partly due to the disorder averaging [57,58], and thus the disorder-induced self-energy is independent of the external momentum, which reads…”

Section: D Dirac Systemmentioning

confidence: 99%

Electronic properties of the Dirac and Weyl systems with first- and higher-order dispersion in non-Fermi-liquid picture

2019

Physics Letters A

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We investigate the non-Fermi-liquid behaviors of the 2D and 3D Dirac/Weyl systems with low-order and higher order dispersion. The self-energy correction, symmetry, free energy, optical conductivity, density of states, and spectral function are studied. We found that, for Dirac/Weyl systems with higher order dispersion, the non-Fermi-liquid features remain even at finite chemical potential, and they are distinct from the ones in Fermi-liquid picture and the conventional non-Fermi-liquid picture. The power law dependence of the physical observables on the energy as well as the logarithmic renormalizations due to the long-range Coulomb interaction are showed. The Landau damping of the longitudinal excitations within random-phaseapproximation (RPA) for the non-Fermi-liquid case are also discussed.

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Section: D Dirac Systemmentioning

confidence: 99%

Electronic properties of the Dirac and Weyl systems with first- and higher-order dispersion in non-Fermi-liquid picture

2019

Physics Letters A

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“…The self-energy here is the disorder-induced one (between two vertices) with the Hartree term, which depends only on the external frequency but not on the external momentum due to the rotational invariance [43] in the presence of weak Coulomb coupling. The electron charge density can not be viewed as constant in this case, If the disorder is strong enough to breaks the rotational invariance, the nodal line in 3D Dirac or Weyl semimetal will be breaks into the nodes [44], and then the momentum-dependence reappears. It's different to the exchange interaction-induced one between a particle and the occupied state [45] which contains only the exchange interaction while the disorder-induced one contains both the exchange interaction (Coulomb) and the impurity scattering (which yields a leading in interaction).…”

Section: Disorder Effect and The Rkky Interactionmentioning

confidence: 99%

Electronic properties of the parabolic Dirac system

2019

Physics Letters A

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We investigate the electronic properties of the parabolic Dirac system. In the presence of magnetic field, we discuss the thermodynamical potential and the anomalous diamagnetism due to the presence of Dirac cone. The integer Hall conductivity and the intrinsic Hall conductivity induced by the Berry curvature are also investigated. Considering the disorder-induced self-energy in self-consistent Born approximation, the RKKY interaction, long-range scattering rate and the spectral function are also calculated, which are distinct to that of the clean system (without impurity). *

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“…Complementary to our present approach, intriguing proposals for NH topological phases in quantum condensed matter systems stemming from strong interactions and disorder have been put forward [9,[38][39][40][41][42][43]. However, it is fair to say that the quantitative relevance of those NH effects in real material systems remains to be demonstrated.…”

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confidence: 93%

Non-Hermitian Weyl physics in topological insulator ferromagnet junctions

Bergholtz

Budich

2019

Phys. Rev. Research

102

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We introduce and investigate material junctions as a generic and tuneable electronic platform for the realization of exotic non-Hermitian (NH) topological states of matter, where the NH character is induced by the surface self-energy of a thermal reservoir. As a conceptually rich and immediately experimentally realizable example, we consider a three-dimensional topological insulator (TI) coupled to a ferromagnetic lead. Remarkably, the symmetry protected TI is promoted in a dissipative fashion to a non-symmetry protected NH Weyl phase with no direct Hermitian counterpart and which exhibits robustness against any perturbation. The transition between a gapped phase and the NH Weyl phase may be readily tuned experimentally with the magnetization direction of the ferromagnetic lead. Given the robustness of this exotic nodal phase, our general analysis also applies to, e.g., a two-dimensional electron gas close to criticality in proximity to a ferromagnetic lead. There, the predicted bulk Fermi arcs are directly amenable to surface spectroscopy methods such as angle-resolved photoemission spectroscopy.

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Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals

Cited by 102 publications

References 54 publications

Electronic properties of the Dirac and Weyl systems with first- and higher-order dispersion in non-Fermi-liquid picture

Electronic properties of the Dirac and Weyl systems with first- and higher-order dispersion in non-Fermi-liquid picture

Electronic properties of the parabolic Dirac system

Non-Hermitian Weyl physics in topological insulator ferromagnet junctions

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