REVIEW 3 cited by
Universal Wilson Loop Bound of Quantum Geometry
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
abstract
We define the absolute Wilson loop winding and prove that it bounds the (integrated) quantum metric from below. This Wilson loop lower bound naturally reproduces the known Chern and Euler bounds of the integrated quantum metric and provides an explicit lower bound of the integrated quantum metric due to the time-reversal protected $Z_2$ index, answering a hitherto open question. In general, the Wilson loop lower bound can be applied to any other topological invariants characterized by Wilson loop winding, such as the particle-hole $Z_2$ index. As physical consequences of the $Z_2$ bound, we show that the time-reversal $Z_2$ index bounds superfluid weight and optical conductivity from below and bounds the direct gap of a band insulator from above.
Forward citations
Cited by 3 Pith papers
-
Exact models of chiral flat-band superconductors
For a single-flavor flat band with inversion symmetry, a local attraction between opposite-parity orbitals yields exact superconducting ground states, including topological pairing.
-
Geometric bound on structure factor
The fourth-order term of the static structure factor of band insulators obeys a geometric lower bound, saturated by 'harmonic bands' such as Landau levels.
-
Superfluid Weight of Strongly Inhomogeneous Superconductors
An inhomogeneous superconductor's superfluid weight must include the response of the pairing potential to the vector potential; for unpinned vortex lattices this correction cancels the naive value completely.
Discussion (0). Continue with ORCID to comment.