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Non-Hermitian topological phases have gained widespread interest due to their unconventional properties, which have no Hermitian counterparts. In this work, we propose to use machine learning to identify and predict non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2021-02-11 Brajesh Narayan , Awadhesh Narayan

Unsupervised learning is a discipline of machine learning which aims at discovering patterns in big data sets or classifying the data into several categories without being trained explicitly. We show that unsupervised learning techniques…

Statistical Mechanics · Physics 2016-11-04 Lei Wang

In this letter, we apply the artificial neural network in a supervised manner to map out the quantum phase diagram of disordered topological superconductor in class DIII. Given the disorder that keeps the discrete symmetries of the ensemble…

Disordered Systems and Neural Networks · Physics 2018-05-16 Nobuyuki Yoshioka , Yutaka Akagi , Hosho Katsura

The latest advances of statistical physics have shown remarkable performance of machine learning in identifying phase transitions. In this paper, we apply domain adversarial neural network (DANN) based on transfer learning to studying…

Statistical Mechanics · Physics 2022-07-04 Jianmin Shen , Feiyi Liu , Shiyang Chen , Dian Xu , Xiangna Chen , Shengfeng Deng , Wei Li , Gabor Papp , Chunbin Yang

Modern distributed networks, notably transformers, acquire a remarkable ability (termed `in-context learning') to adapt their computation to input statistics, such that a fixed network can be applied to data from a broad range of systems.…

Machine Learning · Computer Science 2026-04-15 Cole Gibson , Wenping Cui , Gautam Reddy

In recent years, machine learning (ML) techniques have emerged as powerful tools for studying many-body complex systems, and encompassing phase transitions in various domains of physics. This mini review provides a concise yet comprehensive…

Nuclear Theory · Physics 2024-01-05 Yu-Gang Ma , Long-Gang Pang , Rui Wang , Kai Zhou

Determining phase diagrams and phase transitions semi-automatically using machine learning has received a lot of attention recently, with results in good agreement with more conventional approaches in most cases. When it comes to more…

Disordered Systems and Neural Networks · Physics 2019-12-04 Hugo Théveniaut , Fabien Alet

Machine-learning driven models have proven to be powerful tools for the identification of phases of matter. In particular, unsupervised methods hold the promise to help discover new phases of matter without the need for any prior…

We study the two-dimensional XY model with quenched random phases by Monte Carlo simulation and finite-size scaling analysis. We determine the phase diagram of the model and study its critical behavior as a function of disorder and…

Disordered Systems and Neural Networks · Physics 2016-08-31 J. Maucourt , D. R. Grempel

We study Generalised Restricted Boltzmann Machines with generic priors for units and weights, interpolating between Boolean and Gaussian variables. We present a complete analysis of the replica symmetric phase diagram of these systems,…

Disordered Systems and Neural Networks · Physics 2017-11-01 Adriano Barra , Giuseppe Genovese , Peter Sollich , Daniele Tantari

Although classifying topological quantum phases have attracted great interests, the absence of local order parameter generically makes it challenging to detect a topological phase transition from experimental data. Recent advances in…

Quantum Gases · Physics 2022-10-12 Entong Zhao , Ting Hin Mak , Chengdong He , Zejian Ren , Ka Kwan Pak , Yu-Jun Liu , Gyu-Boong Jo

Identifying phase transitions and classifying phases of matter is central to understanding the properties and behavior of a broad range of material systems. In recent years, machine-learning (ML) techniques have been successfully applied to…

Disordered Systems and Neural Networks · Physics 2023-06-23 Julian Arnold , Frank Schäfer

Topological phase transitions, which do not adhere to Landau's phenomenological model (i.e. a spontaneous symmetry breaking process and vanishing local order parameters) have been actively researched in condensed matter physics. Machine…

Mesoscale and Nanoscale Physics · Physics 2021-03-03 Alexander Kerr , Geo Jose , Colin Riggert , Kieran Mullen

After decades of progress and effort, obtaining a phase diagram for a strongly-correlated topological system still remains a challenge. Although in principle one could turn to Wilson loops and long-range entanglement, evaluating these…

Strongly Correlated Electrons · Physics 2017-12-14 Yi Zhang , Roger G. Melko , Eun-Ah Kim

Let $\{\xi_i\}_{i \geq 1}$ be a sequence of i.i.d.\ positive random variables. Starting from the usual square lattice replace each horizontal edge that links a site in $i$-th vertical column to another in the $(i+1)$-th vertical column by…

Probability · Mathematics 2020-10-21 Marcelo R. Hilario , Marcos Sá , Remy Sanchis , Augusto Teixeira

Knowledge of phase diagrams is essential for material design as it helps in understanding microstructure evolution during processing. The determination of phase diagrams is thus one of the central tasks in materials science. When exploring…

Materials Science · Physics 2022-03-08 Guillaume Deffrennes , Kei Terayama , Taichi Abe , Ryo Tamura

Phase diagrams are an invaluable tool for material synthesis and provide information on the phases of the material at any given thermodynamic condition. Conventional phase diagram generation involves experimentation to provide an initial…

In several physical systems, important properties characterizing the system itself are theoretically related with specific degrees of freedom. Although standard Monte Carlo simulations provide an effective tool to accurately reconstruct the…

High Energy Physics - Lattice · Physics 2017-05-29 Marco Cristoforetti , Giuseppe Jurman , Andrea I. Nardelli , Cesare Furlanello

Phase transitions mark qualitative reorganizations of collective behavior, yet identifying their boundaries remains challenging whenever analytic solutions are absent and conventional simulations fail. Here we introduce learnability as a…

Materials Science · Physics 2025-10-10 Şener Özönder

As machine learning becomes increasingly important in engineering and science, it is inevitable that machine learning techniques will be applied to the investigation of materials, and in particular the structural phase transitions common in…

Materials Science · Physics 2021-03-30 Jiale Zhang , Danni Wei , Feng Zhang , Xi Chen , Dawei Wang
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