This book presents analytic and numerical studies of magnetism in strongly correlated solid-state systems. Competing tendencies in these systems can lead to spontaneous nanoscale structures, such as stripes and checkerboards. There are three topics explored in this book. First, spin waves and magnetic excitations for well-ordered spin structures are studied by using a suitably parametrized Heisenberg model. Both site-centered and bond-centered antiphase domain walls are considered for a range of spacings between stripes and checkerboard antiphase domain walls. Second, quasi-two-dimensional spin systems are explored by using the Stochastic Series Expansion Quantum Monte Carlo method. The order-disorder phase transitions are studied for both static and dynamic bond-diluted Heisenberg spin systems. Varying the interlayer coupling, the Neel temperature and universal scalings are studied for weakly coupled Heisenberg antiferromagnetic layers consisting of coupled ladders. Third, a two-dimensional Heisenberg antiferromagnet with nearest-neighbor and four-spin ring exchange is studied, which exhibits a quantum phase transition from the Valence Bond Solid phase to Neel order.
This book presents analytic and numerical studies of magnetism in strongly correlated solid-state systems. Competing tendencies in these systems can lead to spontaneous nanoscale structures, such as stripes and checkerboards. There are three topics explored in this book. First, spin waves and magnetic excitations for well-ordered spin structures are studied by using a suitably parametrized Heisenberg model. Both site-centered and bond-centered antiphase domain walls are considered for a range of spacings between stripes and checkerboard antiphase domain walls. Second, quasi-two-dimensional spin systems are explored by using the Stochastic Series Expansion Quantum Monte Carlo method. The order-disorder phase transitions are studied for both static and dynamic bond-diluted Heisenberg spin systems. Varying the interlayer coupling, the Neel temperature and universal scalings are studied for weakly coupled Heisenberg antiferromagnetic layers consisting of coupled ladders. Third, a two-dimensional Heisenberg antiferromagnet with nearest-neighbor and four-spin ring exchange is studied, which exhibits a quantum phase transition from the Valence Bond Solid phase to Neel order.
The continuous evolution and development of experimental techniques is at the basis of any fundamental achievement in modern physics. Strongly correlated systems (SCS), more than any other, need to...
The book is devoted to the fundamental aspects of the non-equilibrium statistical mechanics of many-particle systems. The concept of Zubarev's approach, which generalizes the notion of Gibbs'...
This volume presents a collection of review papers on recent work in the connected areas of strongly correlated systems, the effects of coherence on macroscopic systems, and entanglement in quantum...
Ph.D. Thesis, University of Karlsruhe (TH), Germany, 2005: In this work we have discussed different aspects of quantum impurity effects in strongly correlated electron systems. We have focused on the...
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