Quantum Phase TransitionsQuantum Phase Transitions is the first book to describe in detail the fundamental changes that can occur in the macroscopic nature of matter at zero temperature due to small variations in a given external parameter. The subject plays a central role in the study of the electrical and magnetic properties of numerous important solid state materials. The author begins by developing the theory of quantum phase transitions in the simplest possible class of non-disordered, interacting systems - the quantum Ising and rotor models. Particular attention is paid to their non-zero temperature dynamic and transport properties in the vicinity of the quantum critical point. Several other quantum phase transitions of increasing complexity are then discussed and clarified. Throughout, the author interweaves experimental results with presentation of theoretical models, and well over 500 references are included. The book will be of great interest to graduate students and researchers in condensed matter physics. |
Contents
IV | 3 |
VI | 5 |
VII | 6 |
VIII | 8 |
X | 10 |
XI | 13 |
XIII | 16 |
XIV | 17 |
LXXVIII | 176 |
LXXIX | 180 |
LXXXI | 185 |
LXXXII | 188 |
LXXXIII | 189 |
LXXXIV | 191 |
LXXXV | 193 |
LXXXVI | 195 |
XV | 18 |
XVI | 20 |
XVII | 26 |
XVIII | 28 |
XIX | 30 |
XX | 33 |
XXI | 37 |
XXII | 39 |
XXIII | 41 |
XXIV | 42 |
XXV | 45 |
XXVI | 46 |
XXVII | 49 |
XXVIII | 54 |
XXIX | 57 |
XXX | 59 |
XXXI | 65 |
XXXII | 69 |
XXXIII | 75 |
XXXIV | 77 |
XXXV | 78 |
XXXVI | 79 |
XXXVII | 80 |
XXXVIII | 82 |
XXXIX | 83 |
XL | 85 |
XLI | 86 |
XLII | 87 |
XLIII | 89 |
XLIV | 91 |
XLV | 96 |
XLVI | 97 |
XLVIII | 99 |
XLIX | 103 |
L | 104 |
LI | 110 |
LII | 112 |
LIII | 115 |
LIV | 116 |
LV | 121 |
LVII | 123 |
LVIII | 125 |
LIX | 126 |
LX | 129 |
LXI | 131 |
LXII | 134 |
LXIII | 136 |
LXIV | 140 |
LXV | 143 |
LXVI | 144 |
LXVII | 145 |
LXVIII | 147 |
LXX | 149 |
LXXI | 150 |
LXXII | 151 |
LXXIII | 157 |
LXXIV | 159 |
LXXV | 165 |
LXXVI | 168 |
LXXVII | 172 |
LXXXVII | 198 |
LXXXVIII | 201 |
LXXXIX | 203 |
XC | 205 |
XCI | 207 |
XCII | 209 |
XCIII | 210 |
XCIV | 213 |
XCV | 214 |
XCVI | 216 |
XCVII | 218 |
XCVIII | 222 |
XCIX | 223 |
C | 225 |
CI | 226 |
CII | 227 |
CIII | 228 |
CIV | 229 |
CV | 230 |
CVI | 234 |
CVII | 238 |
CVIII | 240 |
CIX | 245 |
CX | 250 |
CXI | 251 |
CXII | 260 |
CXIII | 265 |
CXIV | 267 |
CXV | 268 |
CXVII | 270 |
CXVIII | 272 |
CXIX | 275 |
CXX | 283 |
CXXI | 286 |
CXXII | 287 |
CXXIII | 288 |
CXXIV | 291 |
CXXV | 292 |
CXXVI | 294 |
CXXVII | 295 |
CXXVIII | 296 |
CXXIX | 298 |
CXXX | 299 |
CXXXI | 300 |
CXXXII | 303 |
CXXXIII | 305 |
CXXXIV | 306 |
CXXXVI | 307 |
CXXXVII | 308 |
CXXXVIII | 311 |
CXXXIX | 318 |
CXL | 319 |
CXLI | 320 |
CXLII | 321 |
CXLIII | 325 |
CXLIV | 333 |
335 | |
349 | |
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Common terms and phrases
analysis angular momentum antiferromagnets arguments behavior Berry phase boson Chapter classical collisions computed consider constant continuum theory correlation length coupling crossovers cutoff defined delta function density described discussed in Section dynamic equal-time correlations equation evaluate excitations expansion exponent exponentially expression Fermi liquid fermion ferromagnetic field theory finite fluctuations frequency ground Hamiltonian high-T limit high-T region imaginary interactions invariant Ising chain Ising model large-N lattice Lett low-T region magnetically ordered mapping matrix mean-field momenta Mott insulator nonzero obtain order parameter particles partition function perturbation phase diagram Phys physical precisely prefactor properties quantized quantum critical point quantum field theory quantum Ising quantum paramagnetic quantum phase transitions quantum rotor model quasiparticle regime renormalization group result scaling dimension scaling form scaling function simple singularities spatial spin superfluid susceptibility symmetry temperature thermal transformation universal upper-critical dimension vanishes wavevector