Quantum Phase Transitions

Quantum Phase Transitions
Author: Subir Sachdev
Publisher: Cambridge University Press
Total Pages: 521
Release: 2011-04-07
Genre: Science
ISBN: 113950021X

Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to the basic theory of quantum phases, their phase transitions and their observable properties. This second edition begins with a new section suitable for an introductory course on quantum phase transitions, assuming no prior knowledge of quantum field theory. It also contains several new chapters to cover important recent advances, such as the Fermi gas near unitarity, Dirac fermions, Fermi liquids and their phase transitions, quantum magnetism, and solvable models obtained from string theory. After introducing the basic theory, it moves on to a detailed description of the canonical quantum-critical phase diagram at non-zero temperatures. Finally, a variety of more complex models are explored. This book is ideal for graduate students and researchers in condensed matter physics and particle and string theory.

Phase Transitions in Disordered Systems

Phase Transitions in Disordered Systems
Author: Fawaz Y. Hrahsheh
Publisher:
Total Pages: 146
Release: 2013
Genre: Ferromagnetism
ISBN:

"Disorder can have a wide variety of consequences for the physics of phase transitions. Some transitions remain unchanged in the presence of disorder while others are completely destroyed. In this thesis we study the effects of disorder on several classical and quantum phase transitions in condensed matter systems. After a brief introduction, we study the ferromagnetic phase transition in a randomly layered Heisenberg magnet using large-scale Monte-Carlo simulations. Our results provide numerical evidence for the exotic infinite-randomness scenario. We study classical and quantum smeared phase transitions in substitutional alloys A[subscript 1-x]B[subscript x]. Our results show that the disorder completely destroys the phase transition with a pronounced tail of the ordered phase developing for all compositions x

Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems

Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems
Author: Taiki Haga
Publisher: Springer
Total Pages: 156
Release: 2019-01-24
Genre: Science
ISBN: 9811361711

This book investigates phase transitions and critical phenomena in disordered systems driven out of equilibrium. First, the author derives a dimensional reduction property that relates the long-distance physics of driven disordered systems to that of lower dimensional pure systems. By combining this property with a modern renormalization group technique, the critical behavior of random field spin models driven at a uniform velocity is subsequently investigated. The highlight of this book is that the driven random field XY model is shown to exhibit the Kosterlitz–Thouless transition in three dimensions. This is the first example of topological phase transitions in which the competition between quenched disorder and nonequilibrium driving plays a crucial role. The book also includes a pedagogical review of a renormalizaion group technique for disordered systems.

Phase Transitions in Disordered Systems

Phase Transitions in Disordered Systems
Author: Antonio Gordillo-Guerrero
Publisher: LAP Lambert Academic Publishing
Total Pages: 200
Release: 2010-09
Genre:
ISBN: 9783838395760

Since the stone age, the understanding of phase changes in nature, such as water freezing or boiling or metal melting, has raised much interest. Today we know that it is a phenomenon produced by the simultaneous interaction of an enormous number of individual component and therefore theories can only produce exact solutions for some simplified cases. From the second half of the 20th century we have the tools, theoretical (Renormalization Group) and computational (such as Montecarlo methods), to shed some light into the problem. This book presents results for some classical models for the ferromagnet-paramagnet transition fully applicable to other transitions. It studies deeply the effect of disorder (in the form of impurities or defects in the systems) in the Ising, Potts and Heisenberg models in two, three and four dimensions. Much effort has been done to describe models and methodologies so this book is suitable for a graduate or postgraduate level in Physics, Mathematics or Material Sciences. Needless to say it supposes a valuable casebook for researchers in phase transitions in classical models.

The physics of disordered systems

The physics of disordered systems
Author: Gautam I Menon
Publisher: Springer
Total Pages: 185
Release: 2012-03-15
Genre: Science
ISBN: 9386279517

Disordered systems are ubiquitous in nature and their study remains a profound and challenging subject of current research. Ideas and methods from the physics of Disordered systems have been fruitfully applied to several fields ranging from computer science to neuroscience. This book contains a selection of lectures delivered at the 'SERC School on Disordered Systems', spanning topics from classic results to frontier areas of research in this field. Spin glasses, disordered Ising models, quantum disordered systems, structural glasses, dilute magnets, interfaces in random field systems and disordered vortex systems are among the topics discussed in the text, in chapters authored by active researchers in the field, including Bikas Chakrabarti, Arnab Das, Deepak Kumar, Gautam Menon, G. Ravikumar, Purusattam Ray, Srikanth Sastry and Prabodh Shukla. This book provides a gentle and comprehensive introduction to the physics of disordered systems and is aimed at graduate students and young scientists either working in or intending to enter this exciting field. It should also serve as a general reference for students and practicing researchers alike.

Scaling Phenomena in Disordered Systems

Scaling Phenomena in Disordered Systems
Author: Roger Pynn
Publisher: Springer Science & Business Media
Total Pages: 569
Release: 2013-11-21
Genre: Technology & Engineering
ISBN: 1475714025

This volume comprises the proceedings of a NATO Advanced Study Institute held in Geilo, Norway, between 8-19 April 1985. Although the principal support for the meeting was provided by the NATO Committee for Scientific Affairs, a number of additional sponsors also contributed, allowing the assembly of an unusually large number of internationally rec ognized speakers. Additional funds were received from: EXXON Research and Engineering Co. IBM (Europe) Institutt for energiteknikk (NorwaY) Institut Lauge-Langevin (France) The Norwegian Research Council for Science and Humanities NORDITA (Denmark) The Norwegian Foreign Office The U. S. Army Research, Development and Standardization Group (Europe) The U. S. National Science Foundation - The Norwegian Council for Science and Letters The organizing committee would like to take this opportunity to thank these contributors for their help in promoting a most exciting rewarding meeting. This Study Institute was the eighth of a series of meetings held in Geilo on subjects related to phase transitions. In contrast to previous meetings which were principally concerned with transitions in ordered systems, this school addressed the problems which arise when structural order is absent. The unifying feature among the subjects discussed at the school and the link to themes of earlier meetings was the concept of scaling.