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Junctions of three quantum wires
Masaki Oshikawa, Claudio Chamon, Ian Affleck
We study a junction of three quantum wires enclosing a magnetic flux. The wires are modeled as single-channel spinless Tomonaga-Luttinger liquids. This is the simplest problem of a…
Systematic Derivation of Order Parameters through Reduced Density Matrices
Shunsuke Furukawa, Gregoire Misguich, Masaki Oshikawa
A systematic method for determining order parameters for quantum many-body systems on lattices is developed by utilizing reduced density matrices. This method allows one to extract…
Saturated Ferromagnetism from Statistical Transmutation in Two Dimensions
Yasuhiro Saiga, Masaki Oshikawa
The total spin of the ground state is calculated in the U -> infinity Hubbard model with uniform magnetic flux perpendicular to a square lattice, in the absence of Zeeman coupling.…
Fractionalization, topological order, and quasiparticle statistics
Masaki Oshikawa, T. Senthil
We argue, based on general principles, that topological order is essential to realize fractionalization in gapped insulating phases in dimensions . In with genus $g…
Exact Analysis of ESR Shift in the Spin-1/2 Heisenberg Antiferromagnetic Chain
Y. Maeda, K. Sakai, M. Oshikawa
A systematic perturbation theory is developed for the ESR shift and is applied to the spin-1/2 Heisenberg chain. Using the Bethe ansatz technique, we exactly analyze the resonance…