Low-Temperature Holographic Conductivity
arXiv:2607.12064
The paper studies how quantum fluctuations affect electrical conductivity in a holographic model at very low temperatures, finding a non‑monotonic temperature dependence and significant quantum corrections.
Abstract
We revisit holographic electrical conductivity in the regime of very low temperatures where quantum fluctuations in the throat of the near-extremal, asymptotically AdS dual black brane are strongly coupled. We treat the fluctuations via an effective two-dimensional action capturing the effects of the Schwarzian modes at the scale . Our main result is a non-monotonic temperature dependence: the quantum-corrected conductivity decreases as the temperature is lowered, reaches a minimum at , and grows as for . We further estimate the one-loop contribution to the conductivity directly from the four-dimensional gravitational path integral and find qualitative agreement with the effective two-dimensional description in the regime . We find that quantum corrections substantially modify the low-temperature behavior of the holographic conductivity in both approaches.
35 pages, 9 figures