Volume 135, Number 3, August 2021
|Number of page(s)||7|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||18 October 2021|
Extracting partition function zeros from Fukui-Todo simulations
1 Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine - Lviv, 79011, Ukraine
2 Centre for Fluid and Complex Systems, Coventry University - Coventry, CV1 5FB, UK
3 𝕃 4 Collaboration & Doctoral College for the Statistical Physics of Complex Systems Leipzig- Lorraine-Lviv-Coventry, Europe
Received: 28 March 2021
Accepted: 13 August 2021
The Fukui-Todo algorithm is an important element of the array of simulational approaches to tackling critical phenomena in statistical physics. The partition-function-zero approach is of fundamental importance to understand such phenomena and a precise tool to measure their properties. However, because the Fukui-Todo algorithm bypasses sample-by-sample energy computation, zeros cannot easily be harnessed through the energy distribution. Here this obstacle is overcome by a novel reweighting technique and zero-detection protocol. The efficacy of the approach is demonstrated in simple iconic models which feature transitions of both first and second order.
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