Orthogonal Dirac semimetal on honeycomb lattice and the electron spectral function in orthogonal metallic states

TL;DR

This paper introduces the orthogonal Dirac semimetal, a novel gapped metallic state on the honeycomb lattice, characterized by Dirac-like properties but with gapped single-particle excitations, expanding the understanding of exotic metallic phases.

Contribution

The study extends the concept of orthogonal metals to the honeycomb lattice, identifying a new orthogonal Dirac semimetal with unique spectral and transport properties.

Findings

Identification of the orthogonal Dirac semimetal state.

Analysis of electron spectral functions in orthogonal metallic states.

Potential implications for ARPES experiments.

Abstract

Recently, a concept of orthogonal metal has been introduced to reinterpret the disordered state of slave-spin representation in the Hubbard model as an exotic gapped metallic state. We have extended this concept to study the slave-spin representation of Hubbard model on the honeycomb lattice.[Phys. Rev. B \textbf{86}, 165134 (2012)] It is found that a novel gapped metallic state coined orthogonal Dirac semimetal is identified. Such state corresponds to the disordered phase of slave-spin and has the same thermal-dynamical and transport properties as Dirac semimetal but its singe-particle excitation is gapped. More importantly, for generical orthogonal metallic states, the electron spectral function which may be probed in future angle-resolved photoemission spectroscopy (ARPES) experiments are studied.