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We consider the effect of the uniaxial strain applied to a graphene monolayer with a realized quantum valley Hall state, for which we use a version of the Haldane model. In its specific point, the latter model has two spectral valleys: the gapless one and the gapped one. Using analytical and numerical arguments, we show that this state is unstable against mechanical deformations of the lattice, which influences the energy spectrum, the density of states, and the conductivity tensor.
Abstract The quantum skyrmionic phase is modeled in a two-dimensional helical spin lattice. This topological skyrmionic phase retains its nature in a large parameter space before moving to a ferromagnetic phase. Next-nearest-neighbor interaction improves the stability and it also causes a shift of the topological phase in the parameter space.
Abstract Spin–orbit coupling (SOC) is pivotal for various fundamental spin-dependent phenomena in solids and their technological applications. In semiconductors, these phenomena have been so far studied in relatively weak electron–electron interaction regimes, where the single electron picture holds. However, SOC can profoundly compete against Coulomb interaction, which could lead to the emergence of unconventional electronic phases.
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