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Non-Bloch Band Theory of Non-Hermitian Systems.
A generalized Bloch band theory in one-dimensional spatially periodic tight-binding models is established and it is shown how to define the Brillouin zone in non-Hermitian systems.
Hall effect of light.
The semiclassical equation of motion for the wave packet of light is derived taking into account the Berry curvature in momentum-space, which leads to the shift of wave-packet motion perpendicular to the gradient of the dielectric constant, i.e., the polarization-dependent Hall effect of light.
Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
- S. Murakami
- 1 September 2007
Phase transitions between the quantum spin Hall (QSH) and the insulator phases in three dimensions (3D) are studied. We find that in inversion-asymmetric systems there appears a gapless phase between…
Topological chiral magnonic edge mode in a magnonic crystal
Topological phases have been explored in various fields in physics such as spintronics, photonics, liquid helium, correlated electron system and cold-atomic system. This leads to the recent…
Intrinsic spin Hall effect in platinum: first-principles calculations.
It is argued that the large SHE observed experimentally in platinum is of intrinsic nature and that the vertex correction due to impurity scattering vanishes.
Dissipationless Quantum Spin Current at Room Temperature
Although microscopic laws of physics are invariant under the reversal of the arrow of time, the transport of energy and information in most devices is an irreversible process. It is this…
Spin Anisotropy and Quantum Hall Effect in the Kagomé Lattice : Chiral Spin State based on a Ferromagnet
A ferromagnet with spin anisotropies on the 2D Kagome lattice is theoretically studied. This is a typical example of the flat-band ferromagnet. The Berry phase induced by the tilting of the spins…
Rotational motion of magnons and the thermal Hall effect
Due to the Berry curvature in momentum space, the magnon wave packet undergoes two types of orbital motions in analogy with the electron system: the self-rotation motion and a motion along the…
SU (2) non-Abelian holonomy and dissipationless spin current in semiconductors
Following our previous work [S. Murakami, N. Nagaosa, and S. C. Zhang, Science 301, 1348 (2003)] on the dissipationless quantum spin current, we present an exact quantum-mechanical calculation of…
Quantum spin Hall effect and enhanced magnetic response by spin-orbit coupling.
- S. Murakami
- PhysicsPhysical review letters
- 30 June 2006
It is theoretically predicted that two-dimensional bismuth will show the quantum spin-Hall effect, both by calculating the helical edge states, and by showing the nontriviality of the Z2 topological number.