Topics in Condensed Matter Theory:
Suggested presentation topics
Topological versus "spin-wave" transitions in
XY and Ising models, classical
Hesenberg model in three dimensions.
B. I. Halperin, in Physics of defects ,
Proceedings of the Les Houches
Summer Institute (North-Holland, Amsterdam 1980).
M-h. Lau, C. Dasgupta, Phys. Rev. B, 39,
Numerical investigation of the role of topological defects in the
three-dimensional Heisenberg transition.
M. Kamal, G. Murthy, Phys. Rev. Lett., 71,
New O(3) Transition in Three Dimensions.
O. I. Motrunich, A. Vishwanath, cond-mat/0311222 (2003)
Emergent Photons and New Transitions in the O(3) Sigma Model with Hedgehog Suppression.
Quantum phase transitions (e.g. in transverse field Ising).
Cambridge University Press, 1999.
Quantum Phase Transitions,
Geometric phase associated with instantons for two-dimensional quantum
F. D. M. Haldane, Phys. Rev. Lett., 61,
O(3) Nonlinear Sigma-Model and the Topological
Distinction between Integer and Half-Integer-Spin
Antiferromagnets in 2 Dimensions.
S. Sachdev and N. Read, Int. J. Mod. Phys. B, 5,
Large N Expansion for Frustrated and Doped
Spin gap phase in CaV4O9.
O.A. Starykh et. al., Phys. Rev. Lett,
Origin of Spin Gap in CaV4O9: Effects of Frustration
and Lattice Distortions.
S. Taniguchi et al., J. Phys. Soc. Jpn.
64, 2758 (1995).
Spin Gap Behavior of S=1/2 Quasi-Two-Dimensional System
Spinons versus magnons. O(N) versus CPM-1
approach to spin models.
A.V. Chubukov and O.A. Starykh, Phys. Rev. B,
Confinement of spinons in CPM-1 model.
Kalmeyer-Laughlin state of two dimensional antiferromagnets.
V. Kalmeyer and R.B. Laughlin, Phys. Rev. B,
Theory of the spin liquid state of the Heisenber antiferromagnet.
Dimerized versus Haldane phase of spin ladder.
A.O. Gogolin, A.A. Nersesyan, A.M. Tsvelik,
Cambridge University Press, 1998, Ch. 21.
Bosonization and Strongly Correlated Systems,
Topological order. Boundary states of spin chains (experiment).
M. Hagiwara et. al., Physica B, 177, 386
Magnetization process of an S=1 impure linear chain Heisenberg
RVB and Quantum Dimer models.
S.A. Kivelson, D.S. Rokhsar, and J.P. Sethna, Phys. Rev. B
35, 8865 (1987).
Topology of the resonating valence-bond state:
Solitons and high-Tc superconductivity.
R. Moessner and S.L. Sondhi, Phys. Rev. Lett.
86, 1881 (2001).
Resonating Valence Bond Phase in the Triangular
Lattice Quantum Dimer Model.