Zijia Cheng

Zijia Cheng

Phd student in the Department of Physics, Princeton University

Sitemap

A list of all the posts and pages found on the site. For you robots out there is an XML version available for digesting as well.

Pages

Posts

Cool animals with sunglasses

less than 1 minute read

Published:

In a boring Saturday afternoon, while waiting for the ARPES map, I use the stable diffusion model to generate some cool animals with sunglasses. Follow my nightcafe account to see more cool pictures.

Drawing BZ without any pain

less than 1 minute read

Published:

Recently I have been working on a project that involving dealing with pretty complicated crystal structures and BZs. Having tired of working out bulk BZ and surface BZ for each crystal, I wrote a python script to do it for any structures. The script is surprisingly simple, and detailed code can found here. By the time I posted this blog, the project has been starred by 15 people. Glad that people find it useful!

portfolio

publications

talks

Signatures of Weyl Fermion Annihilation in a Correlated Kagome Magnet

Published:

The manipulation of topological states in quantum matter is an essential pursuit of fundamental physics and next-generation quantum technology. Here we report the magnetic manipulation of Weyl fermions in the kagome spin-orbit semimetal $Co_3Sn_2S_2$, observed by high-resolution photoemission spectroscopy. We demonstrate the exchange collapse of spin-orbit-gapped ferromagnetic Weyl loops into paramagnetic Dirac loops under suppression of the magnetic order. We further observe that topological Fermi arcs disappear in the paramagnetic phase, suggesting the annihilation of exchange-split Weyl points. Our findings indicate that magnetic exchange collapse naturally drives Weyl fermion annihilation, opening new opportunities for engineering topology under correlated order parameters.

Observation of a linked-loop quantum state in a topological magnet

Published:

Quantum phases can be classified by topological invariants, which take on discrete values capturing global information about the quantum state. Over the past decades, these invariants have come to play a central role in describing matter, providing the foundation for understanding superfluids5, magnets, the quantum Hall effect, topological insulators, Weyl semimetals and other phenomena. Here we report an unusual linking-number (knot theory) invariant associated with loops of electronic band crossings in a mirror-symmetric ferromagnet. Using state-of-the-art spectroscopic methods, we directly observe three intertwined degeneracy loops in the material’s three-torus, T3, bulk Brillouin zone. We find that each loop links each other loop twice. Through systematic spectroscopic investigation of this linked-loop quantum state, we explicitly draw its link diagram and conclude, in analogy with knot theory, that it exhibits the linking number (2, 2, 2), providing a direct determination of the invariant structure from the experimental data. We further predict and observe, on the surface of our samples, Seifert boundary states protected by the bulk linked loops, suggestive of a remarkable Seifert bulk–boundary correspondence. Our observation of a quantum loop link motivates the application of knot theory to the exploration of magnetic and superconducting quantum matter.

Visualization of Tunable Weyl Line in A–A Stacking Kagome Magnets

Published:

Kagome magnets provide a fascinating platform for a plethora of topological quantum phenomena, in which the delicate interplay between frustrated crystal structure, magnetization, and spin–orbit coupling (SOC) can engender highly tunable topological states. Here, utilizing angle-resolved photoemission spectroscopy, the Weyl lines are directly visualized with strong out-of-plane dispersion in the A–A stacked kagome magnet $GdMn_6Sn_6$. Remarkably, the Weyl lines exhibit a strong magnetization-direction-tunable SOC gap and binding energy tunability after substituting Gd with Tb and Li, respectively. These results not only illustrate the magnetization direction and valence counting as efficient tuning knobs for realizing and controlling distinct 3D topological phases, but also demonstrate $AMn_6Sn_6$ (A = rare earth, or Li, Mg, or Ca) as a versatile material family for exploring diverse emergent topological quantum responses.

Topological ferromagnetic Kondo lattice

Published:

Magnetic topological semimetals have recently emerged as a topic of central interest in condensed matter physics, but have mostly been explored in weakly-correlated materials. Strong interacting systems, such as Kondo lattices, can host tunable unconventional topological states thanks to their rich phase diagram with multiple intertwined degrees of freedom. Here we unravel the existence of Kondo-induced Weyl-loop states in CeCo2As2. Using angle-resolved photoemission spectroscopy and first-principle calculation, we visualize f-orbital-dominated heavy nodal rings near the Fermi level in the magnetic Kondo lattice phase. Remarkably, by tuning the ratio of Ce/La, we observe a substantial enhancement of anomalous Hall conductivity in the coherent Kondo lattice regime. The value of the Hall conductivity quantitatively matches with the first-principle calculation that optimized with our ARPES results and can be attributed to the large Berry curvature (BC) density engendered by the topological nodal rings. Our results promote $CeCo_2As_2$ as a topological Kondo magnet candidate and underpin the realization of various topological responses in a highly sensitive ferromagnetic Kondo lattice setting.

Untangling charge-order dependent bulk states from surface effects in a topological kagome metal ScV$_6$Sn$_6$

Published:

Kagome metals with charge density wave (CDW) order exhibit a broad spectrum of intriguing quantum phenomena. The recent discovery of the novel kagome CDW compound ScV$_6$Sn$_6$ has spurred significant interest. However, understanding the interplay between CDW and the bulk electronic structure has been obscured by a profusion of surface states and terminations in this quantum material. Here, we employ photoemission spectroscopy and potassium dosing to elucidate the complete bulk band structure of ScV$_6$Sn$_6$, revealing multiple van Hove singularities near the Fermi level. We surprisingly discover a robust spin-polarized topological Dirac surface resonance state at the M point within the twofold van Hove singularities. Assisted by first-principles calculations, the temperature dependence of the kz-resolved angle-resolved photoemission spectroscopy spectrum provides unequivocal evidence for the proposed $\sqrt{3} \times \sqrt{3} \times 3 $ charge order over other candidates. Our work not only enhances the understanding of the CDW-dependent bulk and surface states in ScV$_6$Sn$_6$, but also establishes an essential foundation for potential manipulation of the CDW order in kagome materials.

teaching

Teaching experience 1

Undergraduate course, University 1, Department, 2014

This is a description of a teaching experience. You can use markdown like any other post.

Teaching experience 2

Workshop, University 1, Department, 2015

This is a description of a teaching experience. You can use markdown like any other post.