Nature of symmetry breaking at the excitonic insulator transition: Ta$_2$NiSe$_5$
Giacomo Mazza, Malte R\"osner, Lukas Windg\"atter, Simone Latini,, Hannes H\"ubener, Andrew J. Millis, Angel Rubio, Antoine Georges

TL;DR
This paper investigates the symmetry breaking mechanism in Ta$_2$NiSe$_5$, revealing a purely electronic excitonic order parameter that drives the transition from orthorhombic to monoclinic phase, providing a theoretical framework for excitonic insulators.
Contribution
It identifies the discrete lattice symmetries broken at the transition and characterizes the electronic order parameter responsible for the phase change in Ta$_2$NiSe$_5$.
Findings
Discovered the specific discrete symmetries broken at the transition.
Identified a purely electronic excitonic order parameter.
Linked the electronic order to the observed lattice distortion.
Abstract
TaNiSe is one of the most promising materials for hosting an excitonic insulator ground state. While a number of experimental observations have been interpreted in this way, the precise nature of the symmetry breaking occurring in TaNiSe, the electronic order parameter, and a realistic microscopic description of the transition mechanism are, however, missing. By a symmetry analysis based on first-principles calculations, we uncover the \emph{discrete} lattice symmetries which are broken at the transition. We identify a purely electronic order parameter of excitonic nature that breaks these discrete crystal symmetries and contributes to the experimentally observed lattice distortion from an orthorombic to a monoclinic phase. Our results provide a theoretical framework to understand and analyze the excitonic transition in TaNiSe and settle the fundamental questions…
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