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DTSTAMP:20260817T105508Z
LAST-MODIFIED:20121116T203436Z
DTSTART:20120411T150000Z
DTEND:20120411T160000Z
UID:event914@bu.edu
URL:http://physics.bu.edu/internal/events/show/914
SUMMARY:Condensation of Anyons in Quantum Magnets
DESCRIPTION:Featuring Cristian Batista\, Los Alamos National Laboratory\nHo
	sted by: Anders Sandvik\n\nPart of the Condensed Matter Theory Seminar Seri
	es.\n\nAbstract:\nOne-dimensional (1D) quantum magnets can realize exotic s
	tates of matter such as Luttinger liquids (1\,2)\, valence bond solids (3\,
	4)\, and spin supersolids (5). A unique characteristic of 1D systems is tha
	t transmutations of particle statistics preserve the range and local nature
	 of interactions. This is the main reason behind the success of spin-fermio
	n transformations\, such as the Jordan-Wigner mapping (6)\, for solving one
	-dimensional quantum magnets (6-8). A simple generalization of such transfo
	rmations allows for a mapping between spins and anyons\, unusual particles 
	that generalize the concept of fermions and bosons. By exploiting this gene
	ralization\, we find exact ground states of S = 1/2 frustrated spin XXZ lad
	ders\, and introduce an efficient method for computing relevant correlation
	 functions. These novel states are anyon condensates that spontaneously bre
	ak the Hamiltonian symmetry associated with particle-number conservation. I
	n contrast to the familiar Bose-Einstein condensates\, the condensed partic
	les satisfy anionic statistics.\n \n1. Luttinger\, J. M. An Exactly So
	luble Model of a Many-Fermion System. J. Math. Phys. 4\, 1154 (1963).\n&nbs
	p;\n2. Mattis\, D.C. & Lieb\, E.H. Exact Solution of a Many-Fermion Sys
	tem and Its Associated Boson Field. J.\nMath. Phys. 6\, 304 (1965).\n 
	\n3. Haldane\, F.D.M. Nonlinear Field Theory of Large-Spin Heisenberg Antif
	erromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy
	-Axis N´eel State. Phys. Rev. Lett. 50\, 1153 (1983).\n \n4. Aff
	leck\, I. \, Kennedy\, T.\, Lieb\, E. & Tasaki\, H. Rigorous results on
	 valence-bond ground states in antiferromagnets. Phys. Rev. Lett. 59\, 799 
	(1987).\n \n5. Sengupta\, P. & Batista\, C.D. Spin Supersolid in a
	n Anisotropic Spin-One Heisenberg Chain. Phys. Rev. Lett. 99\, 217205 (2007
	).\n \n6. Jordan\, P. & Wigner\, E. P. On Pauli’s Equivalenc
	e Ban. Z. Physik 47\, 631 (1928).\n \n7. Lieb\, E. \, Schultz\, T. &am
	p; Mattis\, D. Two Soluble Models of an Antiferromagnetic Chain. Ann. Phys.
	 16\,\n407 (1961).\n \n8. Lieb \, E. & Mattis\, D. Mathematical Ph
	ysics in One Dimension\, Academic Press\, New York and London\, (1966).
LOCATION:SCI 328\, 590 Commonwealth Avenue\, 02215
STATUS:CONFIRMED
CLASS:PUBLIC
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