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Derivation of Matrix Product Ansatz for the Heisenberg Chain from Algebraic Bethe Ansatz
Hosho Katsura, Isao Maruyama
We derive a matrix product representation of the Bethe ansatz state for the XXX and XXZ spin-1/2 Heisenberg chains using the algebraic Bethe ansatz. In this representation, the com…
Ferromagnetism in the Hubbard model with Topological/Non-Topological Flat Bands
Hosho Katsura, Isao Maruyama, Akinori Tanaka +1
We introduce and study two classes of Hubbard models with magnetic flux or with spin-orbit coupling, which have a flat lowest band separated from other bands by a nonzero gap. We s…
Electro-spinon in one-dimensional Mott insulator
Hosho Katsura, Masahiro Sato, Takashi Furuta +1
The low-energy dynamical optical response of dimerized and undimerized spin liquid states in a one-dimensional charge transfer Mott insulator is theoretically studied. An exact ana…
Theory of Thermal Hall Effect in Quantum Magnets
Hosho Katsura, Naoto Nagaosa, Patrick A Lee
We present a theory of the thermal Hall effect in insulating quantum magnets, where the heat current is totally carried by charge-neutral objects such as magnons and spinons. Two d…