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Advanced Solid State Physics


by Philip Phillips, Phil Phillips

List Price: $62.00
Price: $55.80
You Save: $6.20 (10%)
Available: Usually ships in 24 hours
Sales Rank: 282596
Studio: Westview Press
Binding: Paperback
Number Of Pages: 416
Publication Date: July 15, 2002
Publisher: Westview Press


EDITORIAL REVIEWS

Product Description
This is a modern book in solid state physics that should be accessible to anyone who has a working level of solid state physics at the Kittel or Ashcroft/Mermin level. The key point of this book is the development of classic topics in a way that makes it easy to present current topics. The book starts with the non-interacting electron gas and develops in great depth such topics of immense currency as the Kondo problem, Bosonizations, local moments in metals, quantum phase transitions, insulator-superconductor and insulator-metal transitions, and the quantum Hall effect. The presentation of these topics starts from the beginning where no prior knowledge is assumed. Hence, this book should be extremely useful to those seeking an introduction tot he practice of modern solid state physics.


CUSTOMER REVIEWS (Average Customer Rating: 4.5 based on 6 reviews)

Good overview of standard theory and more modern developments  
Condensed matter physics has been and will always be the most important branch of physics, due mostly to its role in technological developments. Advances in medicine have also depended directly on advances in condensed matter physics, along with advances in materials science and computer technology. Armies of researchers and billions of research dollars have poured into this field, and throughout its history it has been marked by brilliant developments. Many of these developments are discussed in this book, which targets a readership that already has had exposure to condensed matter physics and statistical mechanics at the elementary level. Although somewhat short considering the subject matter, the author is still able to give the details on the subjects that have given the most surprises to researchers in recent decades.

For example, this book has one of the best overviews of the Kondo problem of all the current books on advanced condensed matter physics. The author presents the problem as one that will definitely need a treatment not possible in the context of mean-field theory, since the latter is mostly applicable to high temperatures. The goal is to study the affects of local magnetic moments on the transport and magnetic properties of a particular metal and how these moments behave as the temperature is lowered. Interestingly, and of great surprise when it was discovered, above the so-called Kondo temperature, the magnetic susceptibility of a magnetic impurity obeys the usual Curie law. However below the Kondo temperature it approaches a constant. Thus magnetism ceases at low temperatures, which definitely countered what was expected, namely that there is always magnetization below the Curie temperature. The analysis of the problem boils down to studying the interaction of the spin of the impurity with the conduction electrons, and the original solution by Kondo diverged at temperatures below the Kondo temperature. An approach based on the renormalization group (ala Kenneth Wilson) finally solved the Kondo problem, and this approach is discussed, along with the others that were proposed before it and based on second-order perturbation theory. These developments are discussed in the book.

The treatment of the electron gas, the Hartree-Fock approximation, and plasma oscillations is fairly standard but detailed. For the noninteracting electron gas the author actually calculates the pressure in the ground state and quotes the value: one million atmospheres (!) with this coming solely from the Pauli exclusion principle. In his discussion of the Wigner solid, the author mentions, but does not discuss in detail, the experiments in the dilute two-dimensional electron gas that indicate a metal-insulator transition in this system for zero magnetic field. A reference is given however for readers who want to familiarize themselves with what was known experimentally at the time of publication. Interest in the two-dimensional electron gas has waxed and waned over the last few decades. This reviewer studied this system in the context of metal-insulator-semiconductor structures with narrow gap semiconductors in the early 1980's.

Also discussed in the book, and of great interest to other areas of physics and mathematics such as the theory of exactly solved models in statistical mechanics and conformal field theory, is the topic of bosonization. The author motivates this subject by considering the case of the dynamics of the Fourier components of the electron density for the interacting electron gas in the regime where plasma oscillations exist. This dynamics is governed by a harmonic oscillator equation, which gives credence to the view that plasma oscillations can be viewed as bosonic excitations in the interacting electron gas. A natural question to ask then is whether this can be generalized, namely can one start with a system governed by Fermi-Dirac statistics and map it into one that is governed by Bose-Einstein statistics. A general procedure for doing this is unknown, but it has been done rigorously for the case of interacting electrons in one dimension. The author discusses this for the case of the one-dimensional Hubbard model, which when subjected to bosonization becomes the Luttinger liquid. He reminds the reader though that one must not impute too much to bosonization in this case since it is merely an equivalence of their equations of motion. He does note however that for the case of interacting electrons in one-dimension there is interesting physics that can be illuminated by the process of bosonization, namely that the electron in this case can be viewed as a composite particle consisting of a `holon' and a `spinon', both of which obey Bose statistics.

The most interesting part of the book, and one that is full of lively discussion, is the one on localization in disordered solids. At least for Anderson localization, which was the first considered historically, the dependence on dimension is obvious, with the Anderson transition only occurring in dimensions three or more. The absence of the transition in dimensions less than three is perhaps not too surprising if one remembers the results in rigorous statistical quantum physics about the absence of phase transitions in dimensions this low. But here one is studying the occurrence of a transition between insulating and conducting regimes, which is dependent on the degree of disorder, and not the temperature (the insulator-metal transition is thus a `quantum phase transition'). It is clear from the perusal of this chapter that localization is a difficult problem whose study requires many tools, each one of these by itself insufficient to capture the entire phenomenon. Indeed, the Boltzmann transport theory cannot describe the Anderson transition, due to its insistence that the mean free path be greater than the lattice spacing. If one uses Green functions, one must compute the site self-energy, which as the author shows (but briefly) can be done but it masks the essential physics of the localization transition. Thus the author resorts to scaling theory, which via a single parameter, the conductance, completely characterizes the localization transition.
January 21, 2007

luck  
After the book of A/M solid state physics, there is no consensus on the most suitable and modern solid state physics textbook. One of the main reason is the rapid developements of some fancy theory, like bosonization, RG, etc after 70s. This book written by Phillips convers almost
all the contemporary topics in condensed matter theory except the high-Tc part. On this ground, this book is worthy recommendation.
June 08, 2006

A friendly, good introduction for all the modern concepts  
The author gives a very good introduction to the topics most researchers in the Condensed Matter community are intersted in. This is good for both theorists and experimentalists as beginners. For theorists, this book gives quickly physics images, which is relatively much easier than reading all the original papers; for experimentalists, this gives very good reviews what the theorists are working about and how are they related to the real world, while NOT MUCH MATH is needed for going through this book.
So this book helps any beginner in the Condensed Matter research to go to the frontier quickly.
I also llike the free-style language the author used in this book --- reading the book is like talking with a friend in the tea time.
One thing I don't like the book is, for some critical topics (like the localizations), the author tried to explain some hard problems in an easy way, while sometimes he failed in doing it clearly and precisely. But again this book is not a math book, and the clear physics pictures it describe already make it one of the best introductory textbooks for these "advanced" topics.
January 14, 2004

A friendly, good introduction for all the modern concepts  
The author gives a very good introduction to the topics most researchers in the Condensed Matter community are intersted in. This is good for both theorists and experimentalists as beginners. For theorists, this book gives quickly physics images, which is relatively much easier than reading all the original papers; for experimentalists, this gives very good reviews what the theorists are working about and how are they related to the real world, while NOT MUCH MATH is needed for going through this book.
So this book helps any beginner in the Condensed Matter research to go to the frontier quickly.
I also llike the free-style language the author used in this book --- reading the book is like talking with a friend in the tea time.
One thing I don't like about the book is, for some critical topics (like the localizations), the author tried to explain some hard problems in an easy way, while sometimes he failed in doing it clearly and precisely. But again this book is not a math book, and the clear physics pictures it describes already make it one of the best introductory textbooks for these "advanced" topics.
January 14, 2004

A concise but thorough treatment of Adv. Solid State !  
I just attended a course based on this book and all I can say is wow.
P. Philips avoids falling into excessive formalism and manages to present
the essence of each subject.

Readers with preparation in the introductory S. State will certainly
benefit from the straight and insightful treatment of the subjects.
December 13, 2003



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Principles of Condensed Matter Physics
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