Akira Furusaki

Vector chiral and multipolar orders in the spin-1 2 frustrated ferromagnetic chain in magnetic field

We study the one-dimensional spin-1/2 Heisenberg chain with competing ferromagnetic nearest-neighbor

Topological classification with additional symmetries from Clifford algebras

{J}_{1}

Random Quantum Spin Chains: A Real-Space Renormalization Group Study.

and antiferromagnetic next-nearest-neighbor

ANDERSON LOCALIZATION DUE TO A RANDOM MAGNETIC FIELD IN TWO DIMENSIONS

{J}_{2}

Cross-correlated responses of topological superconductors and superfluids.

exchange couplings in the presence of magnetic field. We use both numerical approaches (the density-matrix renormalization-group method and exact diagonalization) and effective-field-theory approach and obtain the ground-state phase diagram for wide parameter range of the coupling ratio

THEORY OF STRONG INELASTIC COTUNNELING

{J}_{1}/{J}_{2}

Z2 topological term, the global anomaly, and the two-dimensional symplectic symmetry class of anderson localization

. The phase diagram is rich and has a variety of phases, including the vector chiral phase, the nematic phase, and other multipolar phases. In the vector chiral phase, which appears in relatively weak magnetic field, the ground state exhibits long-range order (LRO) of vector chirality which spontaneously breaks a parity symmetry. The nematic phase shows a quasi-LRO of antiferronematic spin correlation and arises as a result of formation of two-magnon bound states in high magnetic fields. Similarly, the higher multipolar phases, such as triatic

Breakdown of the topological classificationZfor gapped phases of noninteracting fermions by quartic interactions

(p=3)

Conductance of a helical edge liquid coupled to a magnetic impurity.

and quartic

Nonmagnetic impurities in spin gap systems

(p=4)