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Berry phase in solid state physics 
Posted on 20140912
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Contents: Anholonomy in geometry; Anholonomy in quantum mechanics; Berry phase and spin systems; Berry phase and Bloch state; Berry phase and wavepacket dynamics; Concluding remarks. . . . . 






Berry Phase Effects on Electronic Properties 
Posted on 20140911
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Ever since its discovery, the notion of Berry phase has permeated through all branches of physics.
Over the last three decades, it was gradually realized that the Berry phase of the electronic wave
function can have a profound effect on material properties and is responsible for a spectrum
of phenomena, such as polarization, orbital magnetism, various (quantum/anomalous/spin) Hall
effects, and quantum charge pumping. This progress is summarized in a pedagogical manner
in this review. We start with a brief summary of necessary background, a . . . . 






Topics in the Theory of Quadratic Residues 
Posted on 20140909
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Number theory as a coherent mathematical subject started with the work of Fermat in the decade from 1630 to 1640, but modern number theory, that is, the systematic and mathematically rigorous development of the subject from fundamental properties of the integers, began in 1801 with the appearance of the landmark text of Gauss, Disquisitiones Arithmeticae. A major part of the Disquisitiones deals with quadratic residues and nonresidues. Beginning with these fundamental contributions of Gauss, the study of quadratic residues and nonresidues has s . . . . 






The physics of hearing: fluid mechanics and the active process of the inner ear 
Posted on 20140909
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Most sounds of interest consist of complex, timedependent admixtures of tones of diverse frequencies and variable amplitudes. To detect and process these signals, the ear employs a highly nonlinear, adaptive, realtime spectral analyzer: the cochlea. Sound excites vibration of the eardrum and the three miniscule bones of the middle ear, the last of which acts as a piston to initiate oscillatory pressure changes within the liquidfilled chambers of the cochlea. The basilar membrane, an elastic band spiraling along the cochlea between two of the . . . . 






The structure and dynamics of multilayer networks 
Posted on 20140908
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In the past years, network theory has successfully characterized the interaction among the constituents of a variety of complex systems, ranging from biological to technological, and social systems. However, up until recently, attention was almost exclusively given to networks in which all components were treated on equivalent footing, while neglecting all the extra information about the temporal or contextrelated properties of the interactions under study. Only in the last years, taking advantage of the enhanced resolution in real data sets . . . . 






Lecture Notes on Condensed Matter Physics 
Posted on 20140904
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Contents: Transport
: Boltzmann equation, transport coecients, cyclotron resonance, magnetore
sistance, thermal transport, electronphonon scattering
Mesoscopic Physics
: Landauer formula, conductance uctuations, AharonovBohm ef
fect, disorder, weak localization, Anderson localization
Magnetism
: Weak vs. strong, local vs. itinerant, Hubbard and Heisenberg models, spin
wave theory, magnetic ordering, Kondo eect
Other
: Linear response theory, Fermi liquid theory. . . . . 






