Aimed at graduate students and researchers, this book covers the key aspects of the modern quantum theory of solids, including up-to-date ideas such as quantum fluctuations and strong electron correlations. It presents in the main concepts of the modern quantum theory of solids, as well as a general description of the essential theoretical methods required when working with these systems. Diverse topics such as general theory of phase transitions, harmonic and anharmonic lattices, Bose condensation and superfluidity, modern aspects of magnetism including resonating valence bonds, electrons in metals, and strong electron correlations are treated using unifying concepts of order and elementary excitations. The main theoretical tools used to treat these problems are introduced and explained in a simple way, and their applications are demonstrated through concrete examples.Aimed at graduate students and researchers, this book covers the key aspects of the modern quantum theory of solids, including up-to-date ideas such as quantum fluctuations and strong electron correlations. It presents in the main concepts of the modern quantum theory of solids, as well as a general description of the essential theoretical methods required when working with these systems. Diverse topics such as general theory of phase transitions, harmonic and anharmonic lattices, Bose condensation and superfluidity, modern aspects of magnetism including resonating valence bonds, electrons in metals, and strong electron correlations are treated using unifying concepts of order and elementary excitations. The main theoretical tools used to treat these problems are introduced and explained in a simple way, and their applications are demonstrated through concrete examples.

Cambridge University Press eBooksSep 2, 2010145 citations

Electron Correlations in Strongly Interacting Systems

J. J. Quinn, George Simion

WORLD SCIENTIFIC eBooksMay 1, 20101 citation

Geometric (Berry) phases and statistical transmutation in the two-dimensional systems of strongly correlated electrons

Seung-Pyo Hong, Sung‐Ho Suck Salk

Focusing on the hole-doped two-dimensional systems of strongly correlated electrons, we examine geometric phases acquired by electronic wave functions as a result of polaron transport around a closed loop. For this study we apply the Lanczos exact diagonalization method to Holstein-Hubbard, Holstein- $tJ$ , and Holstein- $tJ_z$ models in order to reveal various aspects of geometric phases. We demonstrate that transverse spin fluctuations are responsible for the generation of nontrivial geometric phases. From the exchange symmetry of polarons we find that the statistical transmutation of polarons occurs depending on the strength of electron correlations.Focusing on the hole-doped two-dimensional systems of strongly correlated electrons, we examine geometric phases acquired by electronic wave functions as a result of polaron transport around a closed loop. For this study we apply the Lanczos exact diagonalization method to Holstein-Hubbard, Holstein-$tJ$, and Holstein-$tJ_z$ models in order to reveal various aspects of geometric phases. We demonstrate that transverse spin fluctuations are responsible for the generation of nontrivial geometric phases. From the exchange symmetry of polarons we find that the statistical transmutation of polarons occurs depending on the strength of electron correlations.

arXiv:cond-mat/9902094Feb 8, 19990 citations

tJ

, and Holstein-

tJ_z

models in order to reveal various aspects of geometric phases. We demonstrate that transverse spin fluctuations are responsible for the generation of nontrivial geometric phases. From the exchange symmetry of polarons we find that the statistical transmutation of polarons occurs depending on the strength of electron correlations.