The Mott Metal-Insulator Transition

The Mott Metal-Insulator Transition
Author: Florian Gebhard
Publisher: Springer
Total Pages: 318
Release: 2003-07-01
Genre: Technology & Engineering
ISBN: 3540148582

Little do we reliably know about the Mott transition, and we are far from a complete understanding of the metal --insulator transition due to electr- electron interactions. Mott summarized his basic ideas on the subject in his wonderful book Metal--Insulator nansitions that first appeared in 1974 11. 1). In his view, a Motk insulator displays a gap for charge-carrying excitations due to electron cowelations, whose importance is expressed by the presence of local magnetic moments regardless of whether or not they are ordered. Since the subject is far from being settled, different opinions on specific aspects of the Mott transition still persist. This book naturally embodies my own understanding of the phenomenon, inspired by the work of the late Sir Kevill Mott. The purpose of this book is twofold: first, to give a detailed presen- tion of the basic theoretical concopts for Mott insulators and, second, to test these ideas against the results from model calculations. For this purpose the Hubbard model and some of its derivatives are best suited. The Hubbard model describes a Mott transition with a mere minimum of tunable par- eters, and various exact statements and even exact solutions exist in certain limiting cases. Exact solutions not only allow us to test our basic ideas, but also help to assess the quality of approxin~ate theories for correlated electron systems.

Localization and Metal-Insulator Transitions

Localization and Metal-Insulator Transitions
Author: Hellmut Fritzche
Publisher: Springer
Total Pages: 533
Release: 2013-07-13
Genre: Science
ISBN: 9781461295211

This volume and its two companion volumes, entitled Tetrahedrally-Bonded Amorphous Semiconductors and Physics of Disordered Materials, are our way of paying special tribute to Sir Nevill Mott and to express our heartfelt wishes to him on the occasion of his eightieth birthday. Sir Nevill has set the highest standards as a physicist, teacher, and scientific leader. Our feelings for him include not only the respect and admiration due a great scientist, but also a deep affection for a great human being, who possesses a rare combination of outstanding personal qualities. We thank him for enriching our lives, and we shall forever carry cherished memories of this noble man. Scientists best express their thanks by contributing their thoughts and observations to a Festschrift. This one honoring Sir Nevill fills three volumes, with literally hundreds of authors meeting a strict deadline. The fact that contributions poured in from all parts of the world attests to the international cohesion of our scientific community. It is a tribute to Sir Nevill's stand for peace and understanding, transcending national borders. The editors wish to express their gratitude to Ghazaleh Koefod for her diligence and expertise in deciphering and typing many of the papers, as well as helping in numerous other ways. The blame for the errors that remain belongs to the editors.

Metal-Insulator Transition in Two-Dimensional Electron Systems

Metal-Insulator Transition in Two-Dimensional Electron Systems
Author: Svetlana Anisimova
Publisher: LAP Lambert Academic Publishing
Total Pages: 164
Release: 2010-06
Genre:
ISBN: 9783838369402

The interplay between strong electron-electron interactions and disorder has been a long-standing question in condensed matter physics. The discovery of the metal-insulator transition (MIT) in two-dimensional (2D) electron systems challenged one of the most influential theories of the last century which stated that "there is no true metallic state in 2D". However, the scaling theory of localization did not account for interactions between electrons. This book provides recent thermodynamic and transport experimental findings which indicate that MIT in 2D can be considered as a quantum phase transition. In the ballistic regime, strong interactions between carriers lead to Pauli spin susceptibility growing critically at low electron densities. Such behavior is characteristic in the close vicinity of a phase transition. In the immediate vicinity of the MIT, both the resistance and the effective interactions exhibit a fan-like spread as the MIT is crossed. A resistance-interaction flow diagram clearly reveals a quantum critical point. The book should be especially useful to graduate students, postdoctoral researches, or scientists working in the field of mesoscopic physics.

The Metal-insulator Transition in Mn-substituted Sr3Ru2O-- by a Photoemission Study

The Metal-insulator Transition in Mn-substituted Sr3Ru2O-- by a Photoemission Study
Author:
Publisher:
Total Pages:
Release: 2009
Genre:
ISBN:

We have studied the metal-insulator transition (MIT) in Mn-substituted Sr3Ru2O-- by x-ray photoemission (XPS) and angle-resolved photoemission spectroscopy (ARPES). In XPS, both the surface- and bulk-sensitive spectra show a two-peak structure, corresponding to the well screened and the unscreened excitations. The evolution of the well screened peak with Mn is that the higher the concentration of Mn impurities, the lower the intensity of the peak, indicating that the screening channels are determined by the metallic property of a system. In ARPES, a strong doping dependence is also observed for the Fermi surface, which loses the 2D sheet associated with the dxy band and reduces to the 1D dxz/yz Fermi surfaces, as the system changes from metal to a Mott insulator. As for the band dispersion, we see that the dxy band shifts in energy toward the chemical potential, becoming degenerate with the dxz/yz bands, to the point of being indistinguishable. A nesting vector (0.33, 0.33, 0) has been determined from the Fermi surface of the 10% Mn doped sample, as in response to-or alternatively inducing-a charge/orbital ordering across the Mott transition. The opening of an energy gap is observed below the MIT both as a function of temperature and Mn substitution. To obtain a microscopic understanding of the MIT, we have performed a local-density approximation calculations for the electronic structures of Sr3Ru2O-- and found that spin-orbital coupling induces an unexpected magnetic anisotropy. This might play a key role in the emergence of the MIT and magnetic superstructure in Mn-substituted Sr3Ru2O--, as well as the nematic behavior in the parent compound.