[Todos] Fwd: Curso en el Depto. de Física - Frustración Magnética y Líquidos de Spin - Dr. Chris Hooley
Asistentes de Secretaria de Fisica
secre2 en fisica.unlp.edu.ar
Vie Mar 25 10:36:02 ART 2016
-------- Mensaje original --------
ASUNTO:
Curso en el Depto. de Física - Frustración Magnética y Líquidos de
Spin - Dr. Chris Hooley
FECHA:
2016-03-24 23:11
REMITENTE:
Rodolfo Alberto Borzi <r.chufo at gmail.com>
DESTINATARIO:
Secretaria del Dpto.de Física <secre2 at fisica.unlp.edu.ar>
Hola Alejandro/Cecilia.
En el marco del Programa de Profesores Visitantes del Departamento,
_Chris Hooley_, de la Universidad de St. Andrews, dará un curso de 6
clases sobre _FRUSTRACIÓN MAGNÉTICA Y LÍQUIDOS DE SPIN_.
El curso tendrá lugar en el _AULA ANFITEATRITO_, durante el Miercoles,
Jueves y Viernes de esta semana (_30/03, 31/03 Y 01/04_), de_ 9 A 11:30
HS_. Incluyo un programa del curso adjunto a este mensaje.
Podrían enviar esta información a docentes y alumnos del Departamento?
Saludos y gracias, ch.-
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Curso: Frustrated magnetism and spin liquids
Lugar: Anfiteatrito, Departamento de Física.
Días 30/03, 31/03, 01/04, de 9 a 11:30.
*******************************************************************
Christopher Andrew Hooley
Plan of lectures
Course title: "Frustrated magnetism and spin liquids"
Syllabus: Types of frustration; quantifying the degree of frustration.
Consequences of frustration in classical models of magnetism;
non-collinear and non-coplanar order. Frustration in quantum models of
magnetism; failure of the spin-wave expansion. One-dimensional examples;
the Δ-chain and its spinons. Short-range-ordered states; valence bond
crystals; entanglement, and the connection to tensor networks.
Lecture-by-lecture plan:
*
What is frustration, and how do we quantify it?
*
Types of frustration:
*
geometrical frustration;
*
mixed ferromagnetic and antiferromagnetic interactions;
*
further-neighbour interactions;
*
Dzyaloshinskii-Moriya interactions.
*
Quantifying the degree of frustration:
*
the ratio between Curie-Weiss temperature and ordering temperature;
*
the ratio between the maximum and minimum of the structure factor;
*
the number of free angles per spin in a classical model.
*
Geometrical frustration and its consequences.
*
The classical Heisenberg antiferromagnet on the d=2 triangular lattice:
*
calculation of the structure factor;
*
non-collinear magnetic order;
*
the 'zero-spin-triangle' reformulation;
*
free-angle count.
*
The classical Heisenberg antiferromagnet on the d=3 pyrochlore lattice:
*
the 'zero-spin-tetrahedron' reformulation;
*
free-angle count;
*
non-coplanar magnetic order.
*
Competing-interaction frustration and its consequences.
*
The J1-J2 model:
*
Hamiltonian.
*
A limiting case: J2/J1 -> 0.
*
Another limiting case: J1/J2 -> 0.
*
Structure factor for arbitrary J1/J2.
*
Phase diagram of the classical J1-J2 model.
*
The Heisenberg ferromagnet with additional Dzyaloshinskii-Moriya terms:
*
Hamiltonian.
*
Structure factor.
*
Phase diagram.
*
Quantum fluctuations:
*
The Heisenberg antiferromagnet on the d=2 triangular lattice:
*
Spin-wave spectrum.
*
Correction to zero-temperature ordered moment.
*
The Heisenberg antiferromagnet on the d=2 kagome lattice:
*
Spin-wave spectrum.
*
Divergence of moment correction: failure of spin-wave expansion.
*
If not long-range order, then what?
*
The Δ-chain:
*
Valence bond crystal ground states.
*
Domain walls: two types of spinon.
*
Excitation spectrum.
*
The columnar-dimer model:
*
Phase diagram of the classical Heisenberg model.
*
Quantum model: Néel antiferromagnet and valence bond crystal.
*
The Rokhsar-Kivelson point.
*
Unsolved problems and connections to other fields:
*
Resonating valence bond states and high-Tc superconductivity.
*
Gapless spin liquids, Z2 gauge theories, and all that.
*
Entanglement, matrix-product states, and tensor networks.
*
Spin liquids in experiment.
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