PNAS

Quantum metric–induced giant and reversible nonreciprocal transport phenomena in chiral loop-current phases of kagome metals

2025-08-25

Emergence of quantum orders with nontrivial quantum geometric properties in metals represent central issues in condensed matter physics. In this context, recently discovered chiral loop-current order in kagome metals has garnered significant attention. Particularly noteworthy is the giant electrical magnetochiral anisotropy (eMChA) observed in CsV 3 Sb 5 , which provides compelling evidence for the simultaneous breaking of time-reversal and inversion symmetries. However, the origin of the eMChA and its fundamental connection to the loop-current remain highly elusive, as the loop-current itself preserves inversion symmetry. Here, we demonstrate that the loop-current phase breaks inversion symmetry in the presence of the experimentally observed stripe charge-density wave, leading to finite eMChA coefficient γ eM . In this mechanism, γ eM is proportional to the product of the loop-current-induced orbital magnetization, M orb 0 , and the lifetime of conduction electrons, τ . Therefore, γ eM is reversible by the magnetic fields, and it takes large value in kagome metals with τ v Fermi ≫ a 0 (=lattice constant). Surprisingly, the quantum metric, which defines a fundamental geometric aspect of Bloch wavefunctions, acquires significant momentum dependence in the loop-current phase, resulting in a dramatic enhancement of eMChA by ∼100 times. This research not only clarifies the fundamental symmetry-breaking states in kagome metals but also opens a path for exploring quantum metric–induced phenomena arising from exotic quantum phase transitions in various metals.

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DOI https://doi.org/10.1073/pnas.2503645122