[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.-

*******************************************************************
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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