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Field theories of condensed matter systems
ForewordIntroductionThe Hubbard ModelThe Magnetic Instability of the Fermi SystemOne-Dimensional Quantum AntiferromagnetsSigma Models, Topological Terms and Spin LiquidsThe Spin Liquid StatesChiral
Field Theories of Condensed Matter Physics
1. Introduction 2. The Hubbard model 3. The magnetic instability of the Fermi system 4. The renormalization group and scaling 5. One-dimensional quantum antiferromagnets 6. The Luttinger liquid 7.
Phase diagrams of lattice gauge theories with Higgs fields
We study the phase diagram of lattice gauge theories coupled to fixed-length scalar (Higgs) fields. We consider several gauge groups: Z/sub 2/, U(1), and SU(N). We find that when the Higgs fields
Entanglement entropy of 2D conformal quantum critical points: hearing the shape of a quantum drum.
The entanglement entropy of a pure quantum state of a bipartite system A union or logical sumB is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the
Topological Order and Conformal Quantum Critical Points
Abstract We discuss a certain class of two-dimensional quantum systems which exhibit conventional order and topological order, as well as quantum critical points separating these phases. All of the
How to detect fluctuating stripes in the high-temperature superconductors
We discuss fluctuating order in a quantum disordered phase proximate to a quantum critical point, with particular emphasis on fluctuating stripe order. Optimal strategies for extracting information
Order and disorder in gauge systems and magnets
We show how phase transitions in Abelian two-dimensional spin and four-dimensional gauge systems can be understood in terms of condensation of topological objects. In the spin systems these objects
Topological Entanglement Entropy in Chern-Simons Theories and Quantum Hall Fluids
We compute directly the entanglement entropy of spatial regions in Chern-Simons gauge theories in 2+1 dimensions using surgery. We use these results to determine the universal topological piece of
Nematic Fermi Fluids in Condensed Matter Physics
Correlated electron fluids can exhibit a startling array of complex phases, among which one of the more surprising is the electron nematic, a translationally invariant metallic phase with a
Colloquium : Theory of intertwined orders in high temperature superconductors
Understanding high temperature superconductors is a central problem in condensed matter physics. Many experiments have uncovered ordering tendencies which are responsible for the complex phase
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