The discovery of high-temperature superconductivity in the copper oxides in 1986 triggered
a huge amount of innovative scientific inquiry. In the almost three decades since, much has …

The Hubbard model is the simplest model of interacting fermions on a lattice and is of similar
importance to correlated electron physics as the Ising model is to statistical mechanics or the …

The structures, the phase diagrams, and the appearance of a neutron resonance signaling
an unconventional superconducting state provide phenomenological evidence relating the …

Presenting the physics of the most challenging problems in condensed matter using the
conceptual framework of quantum field theory, this book is of great interest to physicists in …

The appearance of the Planckian time τ Pl= ℏ/k BT is reviewed in both conventional and
unconventional metals. A pedagogical discussion of the various different timescales …

In narrow-band systems electrons can interact with each other via a short-range nonretarded
attractive potential. The origin of such an effective local attraction can be polaronic or it can …

It is argued that the long-wavelength, low-temperature behavior of a two-dimensional
quantum Heisenberg antiferromagnet can be described by a quantum nonlinear σ model in …

It is shown that several different order parameters can be used to characterize a type of P-
and T-violating state for spin systems, that we call chiral-spin states. There is a closely …

The spin-½ antiferromagnetic Heisenberg model on a square lattice is used to describe the
dynamics of the spin degrees of freedom of undoped copper oxides. Even though the model …

The electronic phase diagrams of many highly correlated systems, and, in particular, the
cuprate high temperature superconductors, are complex, with many different phases …