Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics Condensed Matter

Tunable topological phases in 2D materials via nonlocal three-body interactions

Farshad Azizi

Published Jul 25, 2025• 3 citations
Publisher

Abstract

We present a comprehensive theoretical framework to explore emergent quantum phases in two-dimensional (2D) materials driven by nonlocal three-body interactions. By formulating a generalized Hamiltonian with nonlocal exchange terms, we derive analytical expressions for the energy gap, wave functions, and critical phase transitions. Our model predicts a topological phase transition at critical interaction strengths, validated through extensive numerical simulations. We analyze the robustness of these phases against temperature, disorder, and external fields, offering insights into their stability and tunability. These findings advance our understanding of quantum phases in 2D systems, with potential applications in quantum computing and spintronics.

DOI
10.1088/1361-648x/adf484

Related papers

Stability of Periodically Driven Topological Phases against Disorder

Oles Shtanko, Ramis Movassagh

In recent experiments, time-dependent periodic fields are used to create exotic topological phases of matter with potential applications ranging from quantum transport to quantum computing. These nonequilibrium states, at high driving frequencies, exhibit the quintessential robustness against local disorder similar to equilibrium topological phases. However, proving the existence of such topological phases in a general setting is an open problem. We propose a universal effective theory that leverages on modern free probability theory and ideas in random matrices to analytically predict the existence of the topological phase for finite driving frequencies and across a range of disorder. We find that, depending on the strength of disorder, such systems may be topological or trivial and that there is a transition between the two. In particular, the theory predicts the critical point for the transition between the two phases and provides the critical exponents. We corroborate our results by comparing them to exact diagonalizations for driven-disordered 1D Kitaev chain and 2D Bernevig-Hughes-Zhang models and find excellent agreement. This Letter may guide the experimental efforts for exploring topological phases.

arXiv:1803.08519•Physical Review Letters•Sep 20, 2018•19 citations

Quantum-Driven Topological Phase Transition Control

Jincheng Zhang

Quantum-driven topological phase transition control represents a paradigm shift in materials science, offering unprecedented precision in manipulating exotic topological phases. This paper explores a novel approach leveraging quantum entanglement to induce the formation of topological defects, providing a means to precisely control material properties and unlock novel functionalities. We detail a method for inducing topological phase transitions through controlled entanglement, focusing on the formation of robust, stable defects that can be manipulated with remarkable fidelity. The resulting phase transformations hold the potential for advancements in quantum computing, spintronics, and other fields.

•Sep 2, 2026•0 citations

Stability of Disordered Floquet Topological Phases

Oles Shtanko, Ramis Movassagh

In recent experiments, time-dependent periodic fields are used to create exotic topological phases of matter with potential applications ranging from quantum transport to quantum computing. These non-equilibrium states, at high driving frequencies, exhibit the quintessential robustness against local disorder that is also seen at equilibrium. However, the existence of topological stability under a general setting is an open problem. We propose an effective theory that leverages on modern free probability theory and ideas in random matrices to analytically capture the existence of the topological phase for finite driving frequencies and across a range of disorder. We predict that, depending on the strength of disorder, such systems may be gapped (topological) or gapless (trivial). The theory can be used to predict properties of the transition between the two phases including the critical point. We corroborate our results by comparing to exact diagonalization for driven-disordered 1D Kitaev chain and 2D Bernevig-Hughes-Zhang (BHZ) models.

•Mar 22, 2018•0 citations

Quantum Complexity Theory via Topological Phase Transitions

Jincheng Zhang

Quantum Complexity Theory (QCT) aims to provide a framework for understanding and predicting the behavior of complex quantum systems. This paper explores a novel approach based on topological phase transitions, offering a new perspective on the study of quantum mechanics and its applications. We propose a method for modeling the system using a topological graph, analyzing transitions between states, and utilizing the inherent properties of topological phases to uncover underlying dynamics. This work integrates topology and quantum mechanics to provide a robust and insightful tool for analyzing complex quantum phenomena. The framework presented herein offers a potential pathway to developing more accurate simulations and predictions, ultimately advancing our comprehension of quantum systems.

•Sep 2, 2026•0 citations

Quantum-Induced Topological Phase Transition Analysis

Jincheng Zhang

This paper investigates the application of quantum entanglement to the analysis of topological phase transitions, aiming to develop a novel method for unprecedented accuracy. We propose a framework that leverages quantum entanglement to quantitatively assess the stability of topological phases, potentially offering a significant advancement over existing analytical techniques. This research explores the potential of entanglement to reveal subtle correlations critical for phase transition prediction, ultimately providing a more robust and accurate understanding of these phenomena.

•Aug 31, 2026•0 citations

Quantum Resonance-Driven Topological Phase Transitions

Jincheng Zhang

Quantum resonance, a phenomenon where energy levels are amplified through periodic fluctuations, has been proposed as a potential driver for topological phase transitions. This paper investigates the emergence of such transitions driven by quantum resonance, exploring a novel model that predicts topological states through the controlled manipulation of resonant frequencies. We present a theoretical framework centered on the interplay between quantum states, resonant frequencies, and the formation of topological defects. The core mechanism focuses on leveraging resonance to initiate and sustain these transitions, ultimately leading to the creation of robust topological phases. This work offers a fundamentally new approach to understanding phase transitions, potentially unlocking new functionalities in materials science and quantum information processing.

•Sep 7, 2026•0 citations
We present a comprehensive theoretical framework to explore emergent quantum phases in two-dimensional (2D) materials driven by nonlocal three-body interactions. By formulating a generalized Hamiltonian with nonlocal exchange terms, we derive analytical expressions for the energy gap, wave functions, and critical phase transitions. Our model predicts a topological phase transition at critical interaction strengths, validated through extensive numerical simulations. We analyze the robustness of these phases against temperature, disorder, and external fields, offering insights into their stability and tunability. These findings advance our understanding of quantum phases in 2D systems, with potential applications in quantum computing and spintronics.
In recent experiments, time-dependent periodic fields are used to create exotic topological phases of matter with potential applications ranging from quantum transport to quantum computing. These nonequilibrium states, at high driving frequencies, exhibit the quintessential robustness against local disorder similar to equilibrium topological phases. However, proving the existence of such topological phases in a general setting is an open problem. We propose a universal effective theory that leverages on modern free probability theory and ideas in random matrices to analytically predict the existence of the topological phase for finite driving frequencies and across a range of disorder. We find that, depending on the strength of disorder, such systems may be topological or trivial and that there is a transition between the two. In particular, the theory predicts the critical point for the transition between the two phases and provides the critical exponents. We corroborate our results by comparing them to exact diagonalizations for driven-disordered 1D Kitaev chain and 2D Bernevig-Hughes-Zhang models and find excellent agreement. This Letter may guide the experimental efforts for exploring topological phases.
Quantum-driven topological phase transition control represents a paradigm shift in materials science, offering unprecedented precision in manipulating exotic topological phases. This paper explores a novel approach leveraging quantum entanglement to induce the formation of topological defects, providing a means to precisely control material properties and unlock novel functionalities. We detail a method for inducing topological phase transitions through controlled entanglement, focusing on the formation of robust, stable defects that can be manipulated with remarkable fidelity. The resulting phase transformations hold the potential for advancements in quantum computing, spintronics, and other fields.
In recent experiments, time-dependent periodic fields are used to create exotic topological phases of matter with potential applications ranging from quantum transport to quantum computing. These non-equilibrium states, at high driving frequencies, exhibit the quintessential robustness against local disorder that is also seen at equilibrium. However, the existence of topological stability under a general setting is an open problem. We propose an effective theory that leverages on modern free probability theory and ideas in random matrices to analytically capture the existence of the topological phase for finite driving frequencies and across a range of disorder. We predict that, depending on the strength of disorder, such systems may be gapped (topological) or gapless (trivial). The theory can be used to predict properties of the transition between the two phases including the critical point. We corroborate our results by comparing to exact diagonalization for driven-disordered 1D Kitaev chain and 2D Bernevig-Hughes-Zhang (BHZ) models.
Quantum Complexity Theory (QCT) aims to provide a framework for understanding and predicting the behavior of complex quantum systems. This paper explores a novel approach based on topological phase transitions, offering a new perspective on the study of quantum mechanics and its applications. We propose a method for modeling the system using a topological graph, analyzing transitions between states, and utilizing the inherent properties of topological phases to uncover underlying dynamics. This work integrates topology and quantum mechanics to provide a robust and insightful tool for analyzing complex quantum phenomena. The framework presented herein offers a potential pathway to developing more accurate simulations and predictions, ultimately advancing our comprehension of quantum systems.
This paper investigates the application of quantum entanglement to the analysis of topological phase transitions, aiming to develop a novel method for unprecedented accuracy. We propose a framework that leverages quantum entanglement to quantitatively assess the stability of topological phases, potentially offering a significant advancement over existing analytical techniques. This research explores the potential of entanglement to reveal subtle correlations critical for phase transition prediction, ultimately providing a more robust and accurate understanding of these phenomena.
Quantum resonance, a phenomenon where energy levels are amplified through periodic fluctuations, has been proposed as a potential driver for topological phase transitions. This paper investigates the emergence of such transitions driven by quantum resonance, exploring a novel model that predicts topological states through the controlled manipulation of resonant frequencies. We present a theoretical framework centered on the interplay between quantum states, resonant frequencies, and the formation of topological defects. The core mechanism focuses on leveraging resonance to initiate and sustain these transitions, ultimately leading to the creation of robust topological phases. This work offers a fundamentally new approach to understanding phase transitions, potentially unlocking new functionalities in materials science and quantum information processing.