Dongzhe (Denzel) Zheng

Ph.D. Researcher, MAE, Princeton University
Master of Mathematics, University of Cambridge

Accepted · March 16, 2026

Toroidal Loop-Current Order in Kagome \(AV_3Sb_5\): Zero-Field Diode and Anomalous Hall

Journal of Physics: Condensed Matter (JPCM)

Resolving the phenomenological coexistence of charge density wave-driven anomalous Hall effect (AHE) and zero-field superconducting diode effect (SDE) in kagome metals. This work establishes a unified theoretical framework connecting microscopic orbital current patterns to macroscopic transport signatures.

Emergent Gauge Structures in Correlated Quantum Matter

Theoretical Framework

Establishing systematic theoretical connections between microscopic electron correlations and macroscopic quantum responses. The central thesis posits that collective electronic ordering in strongly correlated systems can be faithfully encoded as emergent gauge field configurations.

Demonstrating that composite toroidal loop-current order induces emergent orbital gauge fields, providing a gauge-covariant Ginzburg-Landau framework independent of material-specific microscopic details. This formalism enables predictive modeling of topological transport phenomena across diverse quantum material platforms.

Momentum Translation Equivalence in the Low-Energy Long-Wavelength Limit

Active Research

Mapping the odd-in-\(k\) electron self-energy induced by symmetry-breaking ordered states to emergent gauge field-driven momentum space translation. This mapping reveals deep connections between broken-symmetry phases and effective gauge theories in the \(k \to 0\), \(\omega \to 0\) regime.

Formulating how superconducting condensates couple to electromagnetic and orbital gauge potentials to spontaneously generate finite pairing momentum \(\mathbf{q} \neq 0\) and intrinsic Josephson phase bias \(\varphi_0\). This mechanism provides microscopic justification for observed nonreciprocal superconducting transport.