Relativistic massless Weyl and Dirac fermions exhibit the isotropic and linear dispersion
relations to preserve the Pioncaré symmetry, the most fundamental symmetry in high energy …

We propose an efficient algorithm for constructing k⋅ p effective Hamiltonians, which is
much faster than previously proposed algorithms. This algorithm is implemented in …

We study a class of topological materials which in their momentum-space band structure
exhibit threefold degeneracies known as triple points. Focusing specifically on PT-symmetric …

We derive two fundamental laws of chiral band crossings:(i) a local constraint relating the
Chern number to phase jumps of rotation eigenvalues and (ii) a global constraint …

Dualities are hidden symmetries that map seemingly unrelated physical systems onto each
other. The goal of this work is to systematically construct families of Hamiltonians endowed …

ZrTe 5 is considered a potential candidate for either a Dirac semimetal or a topological
insulator in close proximity to a topological phase transition. Recent optical conductivity …

We analyze triply degenerate nodal points [or triple points (TPs) for short] in energy bands of
crystalline solids. Specifically, we focus on spinless band structures, ie, when spin-orbit …

In the band theory, first-principles calculations, the tight-binding method and the effective k· p
model are usually employed to investigate electronic structures of condensed matters. The …

One of the cornerstones of condensed matter physics, the description of wave functions on
periodic lattices in terms of energy bands of Bloch states, serves as the unifying thread in …

We study a class of topological materials which in their momentum-space band structure
exhibit three-fold degeneracies known as triple points. Specifically, we investigate and …