Quantum Phase Transitions details the fundamental changes that can occur in the macroscopic nature of matter at zero temperature due to small variations in a given external parameter. The author develops the theory of quantum phase transitions in the simplest possible class of nondisordered, interacting systems--the quantum Ising and rotor models. He pays particular attention to their non-zero temperature dynamic and transport properties in the vicinity of the quantum critical point. Throughout, experimental results are interwoven with theoretical models, and well over 500 references are included.
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Book Description
Editorial Reviews
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"Taken as a whole, this book is something of a theoretical masterpiece. With its tight organization, the book leads the determined (and theoretically inclined) reader on a tour encompassing some of the most challenging yet beautiful topics in contemporary theoretical physics...Virtually every chapter contains a theoretical 'gem'...The equations are manipulated with flair and elegance that are testamony to Sachdev's talent as one of the world's premier theorists."
Physics Today
Physics Today
Book Description
Quantum Phase Transitions is the first book to describe in detail the fundamental changes that can occur in the macroscopic nature of matter at zero temperature due to small variations in a given external parameter. Throughout the book the author interweaves experimental results with presentation of theoretical models, and well over 500 references are included. The book will be of great interest to graduate students and researchers in condensed matter physics.
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Most Helpful Customer Reviews
4 of 5 people found the following review helpful:
4.0 out of 5 stars
Good textbook, but you must be otherwise very familiar with QFT,
By PT (Ithaca, NY USA) - See all my reviews
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This review is from: Quantum Phase Transitions (Paperback)
I am working through this book now and just about to finish part II.
If I am not mistaken, this is currently the only book dealing exclusive with the subject of quantum phase transition. A basic recurring theme is: at T=0 you have a critical point and two (quantum) phases on two sides. Add a little temperature, and you gets a few thermally-excited quasiparticles above the ground state on either side of the critical point. Except when you are immediately above the critical point, where the quasiparticle picture breaks down. Sachdev systematically treats each model in the same way. First he would establish the behaviors of the two zero-T phases, and then discuss the finite-T region where the physics can be described by quasiparticles, and finally treat the quantum critical regime. Having a unifying structure makes grasping the concept easier. That said, Sachdev does assume a very good foundation in QFT. It is commonplace in the book where he just defines an action, states that he is going to integrate out such-and-such, and then slaps the end result on you straightaway. You will have a really hard time making sense of what he wrote if you have just finished the standard one-year sequence of QFT. (If you can do most of the problems in Peskin/Schoeder without refering to the book or your notes, you are good to go.) Bottom line: be prepared for many omitted derivations and missing steps. Four stars, still. At least Sachdev provides a coherent direction, and I have seen books much more incomprehensible.
0 of 1 people found the following review helpful:
4.0 out of 5 stars
I really enjoyed this book!,
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This review is from: Quantum Phase Transitions (Paperback)
This book is very good. It provides a general review of quantum phase transitions. I recommend to graduate students and researchers.
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Inside This Book
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First Sentence:
Consider a Hamiltonian, H(g), whose degrees of freedom reside on the sites of a lattice, and which varies as a function of a dimensionless coupling g. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
quantum paramagnet, quantum rotor model, paramagnetic side, quantum critical point, activated dynamic scaling, quantum spin glasses, quasiparticle residue, coherent state path integral, relaxational peak, thermally excited particles, square lattice antiferromagnet, quasiparticle pole, polarized ferromagnet, canted phase, effective classical model, phase coherence time, quantum rotors, quantum phase transition, classical thermal fluctuations, naive continuum limit, paramagnetic ground state, spin density wave state, microscopic couplings, spin stiffness, universal scaling function Key Phrases - Capitalized Phrases (CAPs): (learn more)
Monte Carlo, Fermi's Golden Rule, Low-Temperature Limit of Continuum Theory, What's Different New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Consider a Hamiltonian, H(g), whose degrees of freedom reside on the sites of a lattice, and which varies as a function of a dimensionless coupling g. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
quantum paramagnet, quantum rotor model, paramagnetic side, quantum critical point, activated dynamic scaling, quantum spin glasses, quasiparticle residue, coherent state path integral, relaxational peak, thermally excited particles, square lattice antiferromagnet, quasiparticle pole, polarized ferromagnet, canted phase, effective classical model, phase coherence time, quantum rotors, quantum phase transition, classical thermal fluctuations, naive continuum limit, paramagnetic ground state, spin density wave state, microscopic couplings, spin stiffness, universal scaling function Key Phrases - Capitalized Phrases (CAPs): (learn more)
Monte Carlo, Fermi's Golden Rule, Low-Temperature Limit of Continuum Theory, What's Different New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 33
books:
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44
books
cite this book:
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- Dynamical Properties of Unconventional Magnetic Systems (NATO Science Series E: (closed)) by A.T. Skjeltorp in Back Matter (1), Back Matter (2), and Back Matter (3)
- Index, Volume 20 (Phase Transitions and Critical Phenomena) by Cyril Domb in Back Matter (1), and Back Matter (2)
- Perspectives in Quantum Hall Effects: Novel Quantum Liquids in Low-Dimensional Semiconductor Structures by Sankar Das Sarma in Back Matter (1), and Back Matter (2)
- Spin Glasses & Random Fields by P. Young in Back Matter
- Hamiltonian Methods in the Theory of Solitons (Springer Series in Soviet Mathematics) by L. D. Faddeev in Back Matter
See all 33 books this book cites
- Strong Interactions in Low Dimensions (Physics and Chemistry of Materials with Low-Dimensional Structures) by D. Baeriswyl on page 15, page 314, and Back Matter
- Quantum Annealing and Related Optimization Methods (Lecture Notes in Physics) by Arnab Das on page 35, page 97, and page 127
- Recent Progress in Many-body Theories: Proceedings of the 12th International Conference (Series on Advances in Quantum Many-Body Theory) by Joseph A. Carlson on page 50, and page 213
- Advanced Solid State Physics by Philip Phillips on page 316, and page 348
- The New Physics for the Twenty-First Century by Gordon Fraser on page 252, and page 253
See all 44 books citing this book
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