In collaboration with experimental groups, we show that the charge-density-wave order and the associated correlated insulating state of 1T-TaS₂ are strongly enhanced upon approaching the two-dimensional limit. Our calculations trace this enhancement to strengthened Coulomb interactions arising from reduced out-of-plane screening.

Together with experimental collaborators, we provide direct evidence for d-wave altermagnetism in La₂O₃Mn₂Se₂ using circularly polarized RIXS. The observed dichroism is a direct consequence of altermagnetic symmetry constraints, establishing RIXS as a probe of magnetic phases inaccessible to conventional techniques.

High-resolution RIXS at the Cu L₃ edge reveals the formation of the superconducting gap in the overdoped cuprate Bi₂Sr₂Ca₂Cu₃O_10+δ. Comparison with our calculations of the momentum-dependent charge susceptibility supports a d-wave symmetry of the gap.

Combining X-ray spectroscopies with theory, we resolve the distinct orbital contributions to the electronic and magnetic structure of the trilayer nickelate La₄Ni₃O₁₀, showing that the more itinerant d_x²−y² states dominate the low-energy charge excitations.

In collaboration with experimental groups, we track how superconductivity emerges in (La,Pr)₃Ni₂O_7−δ thin films as strain and oxygen content are tuned independently: the Ni 3d_z² orbitals become increasingly itinerant while long-range spin-density-wave order collapses, pointing to orbital delocalization and the loss of magnetic coherence as the route to superconductivity.

RIXS measurements on superconducting bilayer nickelate thin films show that the in-plane d_x²−y² states form an itinerant backbone, while superconductivity emerges only when coherent d_z²–p_z–d_z² interlayer hybridization develops.

A comparative RIXS study of the trilayer nickelate La₄Ni₃O₁₀ and its bilayer counterpart reveals weaker electronic correlations and a reduced interlayer magnetic exchange in the trilayer compound, which together account for its substantially lower superconducting transition temperature.

We demonstrate that vision transformer architectures provide efficient and accurate variational ansätze for quantum impurity models, outperforming matrix product states in parameter efficiency. The approach extends naturally to the computation of dynamical quantities such as X-ray absorption spectra.

Using DMRG, we map out the ground-state phase diagram of the spin-1 bilinear-biquadratic Kitaev chain and uncover two Kitaev-induced phases: a Kitaev nematic phase arising via an Ising quantum critical point, and a Kitaev dimer phase that spontaneously breaks screw symmetry.

In collaboration with experimental groups, we report highly anisotropic charge dynamics in the trilayer nickelate La₄Ni₃O₁₀, revealing distinct behavior that sheds light on the electronic structure of this recently discovered material family.

We study how oxygen defects drive a dual instability of superconductivity in La₃Ni₂O_7+δ, providing insight into the sensitivity of nickelate superconductivity to structural disorder.

We introduce a neural network-based solver for the quantum impurity problem that operates directly at real frequencies, eliminating the need for analytic continuation within the DMFT framework.

We study the transient RIXS response of the transverse field Ising chain driven by a pump pulse. The low-energy spectra exhibit oscillatory features that correspond one-to-one with dynamical quantum phase transitions, offering an experimentally accessible route to their detection.

In collaboration with experimental groups, we report that lithium intercalation in FeSe gives rise to coexisting ferromagnetism and high-temperature superconductivity — a rare example of two typically competing orders.