tum field theory in many particle physics, emphasizing the applicability of the formalism to concrete problems. Alexander Altland is Professor of Theoretical Condensed Matter Physics at the Institute Alexander Altland and Ben Simons. This public document was automatically mirrored from kaz-news.infoal filename: Atland and kaz-news.info URL: kaz-news.info 1 From particles to fields. 1. Classical harmonic chain: phonons. 3. Functional analysis and variational principles. Maxwell's equations as a.
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Cambridge Core - Condensed Matter Physics, Nanoscience and Mesoscopic Physics - Condensed Matter Field Theory - by Alexander Altland. Alexander Altland, Universität zu Köln, Ben D. Simons, University of . PDF; Export citation . development of modern methods of classical and quantum field theory with applications of interest in ALEXANDER ALTLAND is Professor of Theoretical Condensed Matter Physics at the. Institute of Alexander Altland and Ben Simons. Theory by Piers Coleman (Rutgers); Lecture notes; on Quantum Field Theory in Condensed Matter Physics by Alexander Altland (Koln) and myself.
You can also check out the wikipedia entry on graphene and the scientific background from the Nobel Foundation. For a thorough overview of the theoretical work and the basic physics of graphene I recommend the Reviews of Modern Physics article by Castro Neto et al.
You can find a discussion of the tight-binding approach and how to get the Dirac equation in Sec. There they also discuss the transmission through a barrier Sec. The calculation of the conductivity at the Dirac point using the Landauer formula is discussed in Sec. I around Eq.
There's also references to the original papers. If you are at home and cannot access the published articles you can almost always find them by searching the arXiv.
Tom Lancaster (tom.lancaster_at_durham.ac.uk)
For an exposition of the anomalous quantum Hall effect in graphene, see the corresponding sections in Mark Goerbig's review Here are two chapters from the thesis of Johan Nilsson guest lecturer in the course last year!
Week 5 and 6: Cold atoms For a quick "warm-up"! As I discussed in my lecture, the booming field of cold atoms has been made possible by breakthroughs in cooling and trapping techniques Nobel Prize in Physics , and secondly, from a clever use of the Feshbach resonance for controlling interactions between atoms.
For an early review of the first item by one of the Nobel Prize winners and his collaborator, see Cooling and Trapping Atoms. For some more substance, the term paper by former MIT-student Sara Campbell is quite good but you may need to refresh yourself about some basics of scattering theory in quantum mechanics to appreciate it Pick up your 4th year QM book, use your lecture notes as a guide, and then return to the very informative text by Campbell. The same author has also recently written about quantum simulations using cold atoms, see page 47f in the Quantum Frontiers issue of Physics World, March For an easy-to-read little piece on how ultracold atoms trapped in crystals of light may solve "one of the most famous problems in theoretical physics", have a look at The strong-correlations puzzle.
For an authoritative review of cold Fermi gases as of arXiv In many cases models of quantum impurities can be solved exactly by using sophisticated tools from modern theoretical physics Bethe Ansatz, conformal field theory, An unusual and very privileged situation in physics research!
To get some more feeling for the importance of quantum impurity physics, in particular its most pristine realization - the Kondo effect - try to read the first two sections in Andy Schoefield's review on Non-Fermi liquids. Simply focus on the stuff you find accessible and interesting and skip the rest! With this warm-up you are ready to tackle the two main texts for this course week: "Revival of the Kondo Effect" by Kouwenhoven and Glazman, and pages 71 - 88 in Philip Phillips excellent book "Advanced Solid State Physics" which cover the very basics of Kondo physics.
My Monday morning lecture next week, week 7! For those of you curious to learn more, I can suggest the wikipedia and scholarpedia articles on the Kondo effect and references therein, as well as the excellent review by Pustilnik and Glazman on Kondo effect in quantum dots.
In a way, it is a theorist's "dream come true". The availability of sophisticated mathematical and conceptual tools in 1D quantum physics bosonization being one of them!
And these results can be tested against high-precision experiments in mesoscopic and nanoscale physics!
Most importantly, the physics that comes out challenges our conventional wisdom about how a many-electron system should behave contrast "spin-charge separation" of a Luttinger liquid to the mundane picture of quasi-particles in a Fermi liquid a la Landau! As such, it opens a door to a different universe in quantum physics. Suggested reading: Introductory part of sec 2.
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