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Quantum Phase Transitions [Hardcover]

Subir Sachdev
4.0 out of 5 stars  See all reviews (4 customer reviews)

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Book Description

May 9, 2011 0521514681 978-0521514682 2
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.

Frequently Bought Together

Quantum Phase Transitions + Quantum Field Theory of Many-body Systems: From the Origin of Sound to an Origin of Light and Electrons (Oxford Graduate Texts) + Condensed Matter Field Theory
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Editorial Reviews


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)

Book Description

Describing the properties of quantum materials near critical points with long-range many-body quantum entanglement, this second edition is ideal for graduate students and researchers in condensed matter physics and particle and string theory. It contains a new introductory section on quantum phase transitions and several new chapters covering recent advances.

Product Details

  • Hardcover: 517 pages
  • Publisher: Cambridge University Press; 2 edition (May 9, 2011)
  • Language: English
  • ISBN-10: 0521514681
  • ISBN-13: 978-0521514682
  • Product Dimensions: 9.8 x 7.5 x 1.2 inches
  • Shipping Weight: 2.8 pounds (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #562,596 in Books (See Top 100 in Books)

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Customer Reviews

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Most Helpful Customer Reviews
6 of 7 people found the following review helpful
Format:Paperback|Verified Purchase
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.
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1 of 1 people found the following review helpful
5.0 out of 5 stars Great April 17, 2013
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.
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3.0 out of 5 stars requires background June 17, 2013
Format:Hardcover|Verified Purchase
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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0 of 5 people found the following review helpful
4.0 out of 5 stars I really enjoyed this book! November 29, 2010
By Wilson
Format:Paperback|Verified Purchase
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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