|
Showing 1 - 2 of
2 matches in All Departments
In the slightly more than thirty years since its formulation, the
Hubbard model has become a central component of modern many-body
physics. It provides a paradigm for strongly correlated,
interacting electronic systems and offers insights not only into
the general underlying mathematical structure of many-body systems
but also into the experimental behavior of many novel electronic
materials. In condensed matter physics, the Hubbard model
represents the simplest theoret ical framework for describing
interacting electrons in a crystal lattice. Containing only two
explicit parameters - the ratio ("Ujt") between the Coulomb
repulsion and the kinetic energy of the electrons, and the filling
(p) of the available electronic band - and one implicit parameter -
the structure of the underlying lattice - it appears nonetheless
capable of capturing behavior ranging from metallic to insulating
and from magnetism to superconductivity. Introduced originally as a
model of magnetism of transition met als, the Hubbard model has
seen a spectacular recent renaissance in connection with possible
applications to high-Tc superconductivity, for which particular
emphasis has been placed on the phase diagram of the
two-dimensional variant of the model. In mathematical physics, the
Hubbard model has also had an essential role. The solution by Lieb
and Wu of the one-dimensional Hubbard model by Bethe Ansatz
provided the stimulus for a broad and continuing effort to study
"solvable" many-body models. In higher dimensions, there have been
important but isolated exact results (e. g., N agoaka's Theorem)."
In the slightly more than thirty years since its formulation, the
Hubbard model has become a central component of modern many-body
physics. It provides a paradigm for strongly correlated,
interacting electronic systems and offers insights not only into
the general underlying mathematical structure of many-body systems
but also into the experimental behavior of many novel electronic
materials. In condensed matter physics, the Hubbard model
represents the simplest theoret ical framework for describing
interacting electrons in a crystal lattice. Containing only two
explicit parameters - the ratio ("Ujt") between the Coulomb
repulsion and the kinetic energy of the electrons, and the filling
(p) of the available electronic band - and one implicit parameter -
the structure of the underlying lattice - it appears nonetheless
capable of capturing behavior ranging from metallic to insulating
and from magnetism to superconductivity. Introduced originally as a
model of magnetism of transition met als, the Hubbard model has
seen a spectacular recent renaissance in connection with possible
applications to high-Tc superconductivity, for which particular
emphasis has been placed on the phase diagram of the
two-dimensional variant of the model. In mathematical physics, the
Hubbard model has also had an essential role. The solution by Lieb
and Wu of the one-dimensional Hubbard model by Bethe Ansatz
provided the stimulus for a broad and continuing effort to study
"solvable" many-body models. In higher dimensions, there have been
important but isolated exact results (e. g., N agoaka's Theorem)."
|
|