Emergent Phenomena In Correlated Matter

The development of transistors, the integrated circuit, liquid-crystal displays, and even DVD players can be traced back to fundamental research pioneered in the field of condensed-matter and materials physics (CMPP). The United States has been a leader in the field, but that status is now in jeopardy. Condensed-Matter and Materials Physics, part of the Physics 2010 decadal survey project, assesses the present state of the field in the United States, examines possible directions for the 21st century, offers a set of scientific challenges for American researchers to tackle, and makes recommendations for effective spending of federal funds. This book maintains that the field of CMPP is certain to be principle to both scientific and economic advances over the next decade and the lack of an achievable plan would leave the United States behind. This book's discussion of the intellectual and technological challenges of the coming decade centers around six grand challenges concerning energy demand, the physics of life, information technology, nanotechnology, complex phenomena, and behavior far from equilibrium. Policy makers, university administrators, industry research and development executives dependent upon developments in CMPP, and scientists working in the field will find this book of interest.

In a remarkable career spanning more than six decades, Philip W Anderson has made many fundamental contributions to physics. As codified in his oft-quoted phrase 'More is Different', Anderson has been the most forceful and persuasive proponent of the radical, but now ubiquitous, viewpoint of emergent phenomena: truly fundamental concepts that can and do emerge from studies of Nature at each layer of complexity or energy scale. Anderson's ideas have also extended deeply into other areas of physics, including the Anderson-Higgs mechanism and the dynamics of pulsars.PWA90: A Lifetime of Emergence is a volume of original scientific essays and personal reminiscences of Philip W Anderson by experts in the field, that were presented as part of 'PWA90: Emergent Frontiers of Condensed Matter' meeting held at Princeton in December 2013 to highlight Anderson's contributions to physics.

Condensed Matter Physics studies the states of matter in solids. Perhaps one of the most interesting physical phenomena are realized when materials are cooled down to very low temperatures, so that the principles of quantum mechanics together with the inter-particle correlations lead to the emergence of novel states of matter. In my work, I have successfully used the methods of Quantum Field Theory and Computational Physics to study and predict the novel phases of strongly correlated fermionic systems. In particular, I have explored the emergence of temporal and spatial phases in quantum mechanical systems ranging from degenerate atomic condensates to iron-based superconductors at very low temperatures. In this document, I will provide the details of my work with the specific examples of the fascinating problem of superfluid order parameter dynamics in fermionic condensates driven out-of-equilibrium, spatial phases in novel superfluids, and calculations of Josephson's interface between two iron-based superconductors.

Featuring detailed explanations of the major algorithms used in quantum Monte Carlo simulations, this is the first textbook of its kind to provide a pedagogical overview of the field and its applications. The book provides a comprehensive introduction to the Monte Carlo method, its use, and its foundations, and examines algorithms for the simulation of quantum many-body lattice problems at finite and zero temperature. These algorithms include continuous-time loop and cluster algorithms for quantum spins, determinant methods for simulating fermions, power methods for computing ground and excited states, and the variational Monte Carlo method. Also discussed are continuous-time algorithms for quantum impurity models and their use within dynamical mean-field theory, along with algorithms for analytically continuing imaginary-time quantum Monte Carlo data. The parallelization of Monte Carlo simulations is also addressed. This is an essential resource for graduate students, teachers, and researchers interested in quantum Monte Carlo techniques.

This book sets out modern methods of computing properties of materials, including essential theoretical background, computational approaches, practical guidelines and instructive applications.

As the first of its kind, this book identifies major questions and challenges that will influence research on domain walls in the years to come.