New physics in strongly coupled
electron-phonon systems
New physics in strongly coupled
electron-phonon systems
Resonating valence bonds states (quantum "spin" liquids/ices)
Exotic superconductivity (pair density wave, charge 4e/6e, Pauli-violating)
Routes towards high-Tc (see page Superconductivity)
Resonating valence bond states
Resonating valence bond (RVB) states describe one of the most extreme classes of quantum phases that feature emergent gauge fields at low energy. Since Anderson revived this concept in 1973 in the spin physics context, the pursuit of such phases has been mostly restricted to the studies of frustrated antiferromagnets. In this series of works, we found an entirely different route to their possible realizations, which builds on phonon degrees of freedom on lattice bonds—roughly realizing Pauling's original intuitive depiction of RVB in 1949.
We provide three explicit minimal models as caricatures of certain electron-phonon systems, in which we show with asymptotically exact results that deconfined gauge fields emerge in certain strong coupling regimes of their phase diagrams.
Relevant Publications:
ZH and Steven A. Kivelson. PNAS 122 (15) e2421778122 (2025). arXiv: 2405.17539
ZH and Steven A. Kivelson. Phys. Rev. Lett. 130, 186404 (2023). arXiv: 2210.16321
Xun Cai, ZH, Zi-Xiang Li, Steven A. Kivelson, Hong Yao. PNAS 122 (33) e2426111122. arXiv: 2408.04002
Commentary:
Resonant valence bond Coulomb phase: From spins to phonons by Claudio Castelnovo, PNAS 122 (21) e2506041122
Talk slides:
Exotic superconductivity
Novel superconducting states can arise when the electron-electron and electron-phonon interactions are both strong, such as pair density wave [1,2,3,4], charge-4e/6e [1], and Pauli-violating [2] superconductivity.
Relevant Publications:
ZH, Steven A. Kivelson, and Hong Yao. Phys. Rev. Lett. 125, 167001 (2020). arXiv: 2006.16253
ZH and Steven A. Kivelson. Phys. Rev. B 105, L100509 (2022). arXiv: 2112.03278
Kevin S. Huang*, ZH*, Steven A. Kivelson, and Hong Yao. npj Quan. Mater. 7, 17 (2022). arXiv: 2103.04984
Jiucai Wang, Wen Sun, Hao-Xin Wang, ZH, Steven A. Kivelson, Hong Yao. Phys. Rev. B 112, L140505 (2025). arXiv: 2404.11950
Talk slides: