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Quantum Phase Transitions, by Subir Sachdev
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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.
- Sales Rank: #1050359 in Books
- Brand: Brand: Cambridge University Press
- Published on: 2011-05-09
- Original language: English
- Number of items: 1
- Dimensions: 9.69" h x 1.06" w x 7.44" l, 2.85 pounds
- Binding: Hardcover
- 516 pages
- Used Book in Good Condition
Review
Of the First Edition:
"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 testimony to Sachdev's talent as one of the world's premier theorists."
Physics Today
"With this very useful pedagogical supplement, I expect this second incarnation of Sachdev's volume to remain an indispensable reference and crucial tool for researchers in this field, and an invaluable resource for instructors preparing their advanced graduate courses related to this topic. Sachdev's revised and expanded textbook contains a wealth of information, both on quantum-critical phenomena and the mathematical tools needed to describe them theoretically, and will certainly remain a prominent if not the standard reference to the subject for both novices and experienced active researchers in the field."
Uwe C. Tauber, Mathematical Reviews
"The book is well written from a pedagogical point of view and hence suitable for non-specialists. On the other hand, it can be used (some chapters) by graduate students as well."
Farruh Mukhamedov (Kuantan)
"... a timely and well-informed update to the subject and provides graduate and advanced students with enough material to understand and tackle these very interesting systems."
Contemporary Physics
About the Author
Subir Sachdev is Professor of Physics at Harvard University and holds a Distinguished Research Chair at the Perimeter Institute for Theoretical Physics. His research has focused on a variety of quantum materials and especially on their quantum phase transitions.
Most helpful customer reviews
6 of 7 people found the following review helpful.
Good textbook, but you must be otherwise very familiar with QFT
By PT
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.
1 of 1 people found the following review helpful.
Great
By Trip
This book is very clear and informative. Gives a pedagogical introduction to the use of field theory in condensed matter in addition to exploring quantum phase transitions.
0 of 0 people found the following review helpful.
requires background
By Regular Costumer
The second edition still requires some background on critical phenomena and the path integral approach contrary the what the author states.
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