Related Experiment Video
Updated: Jul 10, 2026

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
Absence of the Mott glass phase in 1D disordered fermionic systems
Thomas Nattermann1, Aleksandra Petković, Zoran Ristivojevic
1Institut für Theoretische Physik, Universität zu Köln, Zülpicher Str. 77, 50937 Köln, Germany.
Abstract:
We study the competition between the Mott and the Anderson insulating state in a one-dimensional disordered fermionic system. The notorious difficulties associated with strong coupling phases are avoided by using a new description in terms of the kink energies (or instanton surface tension) of the electronic displacement pattern. The approach has some similarities to the description of the flat phase of surfaces undergoing a roughening transition. Tracing back both a finite compressibility and a nonzero ac conductivity to vanishing kink energy we exclude the existence of an intermediate Mott-glass phase in systems with short range interaction only. In systems with long range interaction the Anderson insulating phase exhibits the features of a Mott glass however. The phase diagram is constructed from combining the information from the renormalization group flow, the kink energy, and simple rescaling analysis.
More Related Videos
Related Concept Videos
Imperfections in Crystal Structure: Stoichiometric Point Defects
Valence Bond Theory
Fermi Level
At absolute zero temperature, electrons fill all energy states up to the Fermi level, leaving upper states empty. As the temperature rises,...
Band Theory
The energy difference between these bands is known as the band gap.
Conductor, Semiconductor,...
First Law: Particles in One-dimensional Equilibrium
Phase Diagrams of Ternary Systems

