Bosonization of Interacting Fermions in Arbitrary DimensionsSpringer Science & Business Media, 16.12.2008 - 259 Seiten The author presents in detail a new non-perturbative approach to the fermionic many-body problem, improving the bosonization technique and generalizing it to dimensions d1 via functional integration and Hubbard--Stratonovich transformations. In Part I he clearly illustrates the approximations and limitations inherent in higher-dimensional bosonization and derives the precise relation with diagrammatic perturbation theory. He shows how the non-linear terms in the energy dispersion can be systematically included into bosonization in arbitrary d, so that in d1 the curvature of the Fermi surface can be taken into account. Part II gives applications to problems of physical interest. The book addresses researchers and graduate students in theoretical condensed matter physics. |
Inhalt
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9783540684954_2_OnlinePDF | 11 |
9783540684954_3_OnlinePDF | 33 |
9783540684954_4_OnlinePDF | 45 |
9783540684954_5_OnlinePDF | 72 |
9783540684954_2_Part_BookFrontmatter_OnlinePDF | 118 |
9783540684954_6_OnlinePDF | 119 |
9783540684954_7_OnlinePDF | 143 |
9783540684954_8_OnlinePDF | 165 |
9783540684954_9_OnlinePDF | 181 |
9783540684954_10_OnlinePDF | 197 |
9783540684954_BookBackmatter_OnlinePDF | 234 |
Andere Ausgaben - Alle anzeigen
Bosonization of Interacting Fermions in Arbitrary Dimensions Peter Kopietz Eingeschränkte Leseprobe - 1997 |
Bosonization of Interacting Fermions in Arbitrary Dimensions Peter Kopietz Keine Leseprobe verfügbar - 2014 |
Bosonization of Interacting Fermions in Arbitrary Dimensions Peter Kopietz Keine Leseprobe verfügbar - 2013 |
Häufige Begriffe und Wortgruppen
average bosonization approach bosonization result calculation collective mode contribution corrections correlation function Coulomb interaction coupling curvature cutoff Debye-Waller factor density-density correlation function dielectric function dimensionless dimensions discussed in Chap dynamic structure factor effective action effective mass eikonal electrons equation expansion Fermi liquid Fermi surface fermions finite Fourier transform frequency fRPA functional integral gauge field Gaussian approximation given in Eq Green's function Hamiltonian higher-dimensional bosonization Hubbard-Stratonovich transformation interchain hopping iŵn Landau limit linearized energy dispersion liquid behavior logarithmic loop theorem Luttinger liquid matrix elements momentum space non-interacting non-perturbative Note obtain parameter patches perturbation theory phonon Phys plasmon mode polarization problem quadratic quasi-particle residue random potential regime renormalization RPA interaction Sect sector Seff self-energy shown in Fig single-particle Green's function singular spherical Fermi surface SRPA tion transverse gauge fields vanishes vertex vertex corrections wave-vector ᏰᏙ