The Effect of Randomness on the Mott State
Thomas Nattermann, Aleksandra Petkovic, Zoran Ristivojevic, and, Friedmar Schuetze
TL;DR
This paper examines how randomness influences the Mott state in a disordered one-dimensional fermionic system, using advanced theoretical methods to clarify the phase competition and challenging previous notions of an intermediate phase.
Contribution
It provides a detailed theoretical analysis showing no evidence for an intermediate Mott glass phase in the studied system.
Findings
No intermediate Mott glass phase found
Compressibility and ac-conductivity linked to kink energy vanishing
Reinforces the dominance of the Mott or Anderson insulator states
Abstract
We reinvestigate the competition between the Mott and the Anderson insulator state in a one-dimensional disordered fermionic system by a combination of instanton and renormalization group methods. Tracing back both the compressibility and the ac-conductivity to a vanishing kink energy of the electronic displacement field we do not find any indication for the existence of an intermediate (Mott glass) phase.
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