Weyl Mott Insulator

Abstract

Relativistic Weyl fermion (WF) often appears in the band structure of three dimensional magnetic materials and acts as a source or sink of the Berry curvature, i.e., the (anti-)monopole. It has been believed that the WFs are stable due to their topological indices except when two Weyl fermions of opposite chiralities annihilate pairwise. Here, we theoretically show for a model including the electron-electron interaction that the Mott gap opens for each WF without violating the topological stability, leading to a topological Mott insulator dubbed {\it Weyl Mott insulator } (WMI). This WMI is characterized by several novel features such as (i) energy gaps in the angle-resolved photo-emission spectroscopy (ARPES) and the optical conductivity, (ii) the nonvanishing Hall conductance, and (iii) the Fermi arc on the surface with the penetration depth diverging as approaching to the momentum at which the Weyl point is projected. Experimental detection of the WMI by distinguishing from conventional Mott insulators is discussed with possible relevance to pyrochlore iridates.

14 pages, 5 figures

References in corpus (7)

• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Observation of Weyl nodes in TaAs
• Emergent topological phenomena in thin films of pyrochlore iridates
• Interacting Weyl semimetals: characterization via the topological Hamiltonian and its breakdown
• Theory of a quantum critical phenomenon in a topological insulator: (3+1)-dimensional quantum electrodynamics in solids

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• Strongly Interacting Weyl Semimetals: Stability of the Semimetallic Phase and Emergence of Almost Free Fermions
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• Manifestation of topological behaviors in interacting Weyl systems: one-body verse two-body correlations
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• Transitions from Composite Fermi Liquid to Moore-Read States in Weyl Semimetals
• Fate of surface gaps in magnetic topological insulators
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• Mott Criticality as the Confinement Transition of a Pseudogap-Mott Metal
• Design Principles for Topological Thermoelectrics
• Dynamical Weyl Points and 4D Nodal Rings in Cold Atomic Gases