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arXiv · 2510.03985

Can out-of-equilibrium linear response reveal anyonic statistics?

Gu Zhang·Igor Gornyi·Yuval Gefen
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Abstract

Determination of the anyonic statistical braiding phase has relied on either Aharonov-Bohm inter- ference experiments or cross-correlations measured in collider platforms. Here we consider collider setups, supporting stationary far-from-equilibrium anyonic beams, characterized by an effective chemical potential and an effective temperature, which carry universal information about the ele- mentary charge and the statistical braiding phase. We develop an out-of-equilibrium linear response theory designed to describe charge and thermal quantum transport under deviations from this ef- fective equilibrium (unlike linear response designed to describe transport near genuine equilibrium). Our effective linear-response transport coefficients directly reflect the fractional charge and statistics of the anyons involved, avoiding the need to measure higher-order current correlations. Moreover, the emergence of finite thermoelectric (Peltier and Seebeck) coefficients signifies the presence of real anyon collisions (as opposed to virtual braiding in the time domain), intimately associated with the breaking of a characteristic particle-hole symmetry specific to anyonic gases.

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Gu Zhang, Igor Gornyi, Yuval Gefen. 2025-10-05. Can out-of-equilibrium linear response reveal anyonic statistics?. https://arxiv.org/abs/2510.03985

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