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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
Topological Defects Coupling Smectic Modulations to Intra–Unit-Cell Nematicity in Cuprates
TLDR
A Ginzburg-Landau functional is proposed and demonstrated how it can explain the coexistence of the smectic and intra–unit-cell broken symmetries and also correctly predict their interplay at the atomic scale.
The space group classification of topological band-insulators
Topological insulators are now shown to be protected not only by time-reversal symmetry, but also by crystal lattice symmetry. By accounting for the crystalline symmetries, additional topological
Commensurate 4a0-period charge density modulations throughout the Bi2Sr2CaCu2O8+x pseudogap regime
Significance Strong Coulomb interactions between electrons on adjacent Cu atoms result in charge localization in the cuprate Mott-insulator state. When a few percent of electrons are removed, both
Universal probes of two-dimensional topological insulators: dislocation and π flux.
TLDR
It is conjecture that by studying the zero modes bound to dislocations all translationally distinguishable two-dimensional topological band insulators can be classified.
Interplay between electronic topology and crystal symmetry : Dislocation-line modes in topological band insulators
We elucidate the general rule governing the response of dislocation lines in three-dimensional topological band insulators. According to this
Machine learning in electronic-quantum-matter imaging experiments
TLDR
These ANNs are used to analyse an archive of experimentally derived EQM image arrays from carrier-doped copper oxide Mott insulators, discovering the existence of a lattice-commensurate, four-unit-cell periodic, translational-symmetry-breaking EQM state and determining that this state is unidirectional.
Electronic states of graphene grain boundaries
We introduce a model for amorphous grain boundaries in graphene and find that stable structures can exist along the boundary that are responsible for local density of states enhancements both at zero
Topological superconductivity with deformable magnetic skyrmions
Magnetic skyrmions are nanoscale spin configurations that are efficiently created and manipulated. They hold great promises for next-generation spintronics applications. In parallel, the interplay of
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