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Topological surface States in three-dimensional magnetic insulators.
TLDR
This Letter gives an efficient algorithm to compute whether a given magnetic band structure has nontrivial Hopf invariant, a double-exchange-like tight-binding model that realizes the nontrivials case, and a numerical study of the surface states of this model.
One-dimensional topologically protected modes in topological insulators with lattice dislocations
Topological defects, such as domain walls and vortices, have long fascinated physicists. A novel twist is added in quantum systems such as the B-phase of superfluid helium He3, where vortices are
Projected-wave-function study of the spin-1/2 Heisenberg model on the Kagomé lattice.
TLDR
A Gutzwiller projected-wave-function study for the spin-1/2 Heisenberg model on the Kagomé lattice indicates that a U(1)-Dirac spin-liquid state has the lowest energy, and it is shown that this state represents a quantum phase whose low-energy physics is governed by four flavors of two-component Dirac fermions coupled to a U (1) gauge field.
Properties of an algebraic spin liquid on the kagome lattice
In recent work, we argued that a particular algebraic spin liquid (ASL) may be the ground state of the S = 1/2 kagome lattice Heisenberg antiferromagnet. This state, which lacks a spin gap, is
Quantum Hall effects in a Weyl semimetal: Possible application in pyrochlore iridates
There have been lots of interest in pyrochlore Iridates A2Ir2O7 where both strong spin-orbital coupling and strong correlation are present. A recent LDA calculation suggests that the system is likely
Classification of symmetry enriched topological phases with exactly solvable models
Recently a new class of quantum phases of matter: symmetry protected topological states, such as topological insulators, attracted much attention. In presence of interactions, group cohomology
Generalized Modular Transformations in (3+1)D Topologically Ordered Phases and Triple Linking Invariant of Loop Braiding
In topologically ordered quantum states of matter in 2+1D (space-time dimensions), the braiding statistics of anyonic quasiparticle excitations is a fundamental characterizing property which is
Interface engineering of quantum Hall effects in digital transition metal oxide heterostructures.
TLDR
It is predicted that LaAuO(3) bilayers have a topologically non-trivial energy gap of about 0.15 eV, which is sufficiently large to realize the quantum spin Hall effect at room temperature.
Weak indices and dislocations in general topological band structures
It has recently been shown that crystalline defects - dislocation lines - in three dimensional topological insulators, can host protected one dimensional modes propagating along their length. We
Nodal Spin Density Wave and band topology of the FeAs based materials
The recently discovered FeAs-based materials exhibit a $(\ensuremath{\pi},0)$ spin density wave (SDW) in the undoped state, which gives way to superconductivity upon doping. Here we show that due to
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