skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Explore Research Products in the PAR
It may take a few hours for recently added research products to appear in PAR search results.


  • Home
  • Search Results
  • Page 1 of 2

Search for: All records

Creators/Authors contains: "Sun, Zhe"

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. ; ; (, Transactions of the American Mathematical Society)
    We introduce a topological intersection number for an ordered pair of SL 3 \operatorname {SL}_3 -webs on a decorated surface. Using this intersection pairing between reduced ( SL 3 , A ) (\operatorname {SL}_3,\mathcal {A}) -webs and a collection of ( SL 3 , X ) (\operatorname {SL}_3,\mathcal {X}) -webs associated with the Fock–Goncharov cluster coordinates, we provide a natural combinatorial interpretation of the bijection from the set of reduced ( SL 3 , A ) (\operatorname {SL}_3,\mathcal {A}) -webs to the tropical set A PGL 3 , S ^<#comment/> + ( Z t ) \mathcal {A}^+_{\operatorname {PGL}_3,\hat {S}}(\mathbb {Z}^t) , as established by Douglas and Sun in [Forum Math. Sigma 12 (2024), p. e5, 55]. We provide a new proof of the flip equivariance of the above bijection, which is crucial for proving the Fock–Goncharov duality conjecture of higher Teichmüller spaces for SL 3 \operatorname {SL}_3 . 
    more » « less
    Free, publicly-accessible full text available August 1, 2026
  2. ; ; ; (, Chemical Engineering Science)
    Full Text Available 
  3. ; ; ; ; ; ; ; ; ; ; et al (, Nature Electronics)
    Full Text Available 
  4. ; ; ; (, Chemical Engineering Journal)
    Full Text Available 
  5. ; ; ; ; ; ; ; ; ; ; et al (, Nature)
    Full Text Available 
  6. ; ; ; ; ; ; ; ; ; ; et al (, Science)
    Quantum geometry in condensed-matter physics has two components: the real part quantum metric and the imaginary part Berry curvature. Whereas the effects of Berry curvature have been observed through phenomena such as the quantum Hall effect in two-dimensional electron gases and the anomalous Hall effect (AHE) in ferromagnets, the quantum metric has rarely been explored. Here, we report a nonlinear Hall effect induced by the quantum metric dipole by interfacing even-layered MnBi2Te4with black phosphorus. The quantum metric nonlinear Hall effect switches direction upon reversing the antiferromagnetic (AFM) spins and exhibits distinct scaling that is independent of the scattering time. Our results open the door to discovering quantum metric responses predicted theoretically and pave the way for applications that bridge nonlinear electronics with AFM spintronics. 
    more » « less
  7. ; ; ; ; (, The Annals of Applied Statistics)
    Full Text Available 
  8. ; ; ; ; ; ; ; ; ; ; et al (, 2D Materials)
    null (Ed.)
    Full Text Available 
  9. ; ; ; (, Transportation Research Part B: Methodological)
    Full Text Available 
  10. ; ; ; ; ; ; ; ; ; ; et al (, Climate Dynamics)
    Full Text Available