Floquet-engineering of nodal rings and nodal spheres and their characterization using the quantum metric

@article{Salerno2019FloquetengineeringON,
  title={Floquet-engineering of nodal rings and nodal spheres and their characterization using the quantum metric},
  author={Grazia Salerno and Nathan Goldman and Giandomenico Palumbo},
  journal={arXiv: Mesoscale and Nanoscale Physics},
  year={2019}
}
Semimetals exhibiting nodal lines or nodal surfaces represent a novel class of topological states of matter. While conventional Weyl semimetals exhibit momentum-space Dirac monopoles, these more exotic semimetals can feature unusual topological defects that are analogous to extended monopoles. In this work, we describe a scheme by which nodal rings and nodal spheres can be realized in synthetic quantum matter through well-defined periodic-driving protocols. As a central result of our work, we… 

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References

SHOWING 1-10 OF 127 REFERENCES
Realistic Floquet Semimetal with Exotic Topological Linkages between Arbitrarily Many Nodal Loops.
TLDR
This Letter presents a class of exotic Floquet topological phases that has hitherto not been proposed in any realistic setup and proposes to use both a Berry-phase related winding number and the Alexander polynomial topological invariant to characterize the fascinating linkages among the nodal loops.
Observation of nodal-line semimetal with ultracold fermions in an optical lattice
The observation of topological phases beyond two dimensions, as widely reported in solid-state systems1,2, has been an open challenge for ultracold atoms. Although many theoretical schemes have been
Revealing Tensor Monopoles through Quantum-Metric Measurements.
TLDR
This work investigates the possibility of creating and measuring a tensor monopole in condensed-matter physics by introducing a realistic three-band model defined over a four-dimensional parameter space, and proposes a realisticThree-level atomic system, where Tensor monopoles could be generated and revealed through quantum-metric measurements.
Momentum-space cigar geometry in topological phases
Abstract.In this paper, we stress the importance of momentum-space geometry in the understanding of two-dimensional topological phases of matter. We focus, for simplicity, on the gapped boundary of
Topological Characterization of Periodically-Driven Quantum Systems
Topological properties of physical systems can lead to robust behaviors that are insensitive to microscopic details. Such topologically robust phenomena are not limited to static systems but can also
Measuring quantized circular dichroism in ultracold topological matter
The topology of two-dimensional materials traditionally manifests itself through the quantization of the Hall conductance, which is revealed in transport measurements1–3. Recently, it was predicted
Topological nodal semimetals
We present a study of “nodal-semimetal” phases in which nondegenerate conduction and valence bands touch at points (the “Weyl semimetal”) or lines (the “line-node semimetal”) in three-dimensional
Classifying and measuring geometry of a quantum ground state manifold
From the Aharonov-Bohm effect to general relativity, geometry plays a central role in modern physics. In quantum mechanics, many physical processes depend on the Berry curvature. However, recent
Topological nodal line semimetals
We review the recent, mainly theoretical, progress in the study of topological nodal line semimetals in three dimensions. In these semimetals, the conduction and the valence bands cross each other
Topological semimetals with a double-helix nodal link
Topological nodal line semimetals are characterized by the crossing of the conduction and valence bands along one or more closed loops in the Brillouin zone. Usually, these loops are either isolated
...
1
2
3
4
5
...