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We theoretically investigate emergent topological phases in an extended spin-full Su-Schrieffer-Heeger (SSH) model considering Rashba spin-orbit interaction, all possible complex next to next nearest neighbor (NNNN) hopping preserving…

Mesoscale and Nanoscale Physics · Physics 2024-10-15 Hemant Kumar Sharma , Arijit Saha , Saptarshi Mandal

The Topological Hypothesis states that phase transitions should be related to changes in the topology of configuration space. The necessity of such changes has already been demonstrated. We characterize exactly the topology of the…

Statistical Mechanics · Physics 2007-05-23 S. Risau-Gusman , A. C. Ribeiro-Teixeira , D. A. Stariolo

We study topological properties of one-dimensional non-Hermitian systems without chiral symmetry and give phase diagrams characterized by topological invariants $\nu_E$ and $\nu_{total}$, associated with complex energy vorticity and…

Mesoscale and Nanoscale Physics · Physics 2018-11-16 Hui Jiang , Chao Yang , Shu Chen

Kibble-Zurek (KZ) mechanism describes the scaling behavior when driving a system across a continuous symmetry-breaking transition. Previous studies have shown that the KZ-like scaling behavior also lies in the topological transitions in the…

Statistical Mechanics · Physics 2024-10-21 Huan Yuan , Jinyi Zhang , Shuai Chen , Xiaotian Nie

We investigate the quantum phases of a half-filled generalized interacting Su-Schrieffer-Heeger model with intracell, nearest-neighbor, and next-nearest-neighbor intercell hoppings, together with an on-site inter-sublattice interaction. In…

Strongly Correlated Electrons · Physics 2026-04-08 Jing-Hua Niu , Jia-Lin Liu , Ke Wang , Shan-Wen Tsai , Jin Zhang

We study the topological phase transitions occurring in three-dimensional (3D) multicomponent lattice Abelian-Higgs (LAH) models, in which an $N$-component scalar field is minimally coupled with a noncompact Abelian gauge field, with a…

Statistical Mechanics · Physics 2024-04-18 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

Many complex dynamical systems in the real world, including ecological, climate, financial, and power-grid systems, often show critical transitions, or tipping points, in which the system's dynamics suddenly transit into a qualitatively…

Physics and Society · Physics 2023-05-19 Prosenjit Kundu , Neil G. MacLaren , Hiroshi Kori , Naoki Masuda

Recent studies of moir\'e physics have unveiled a wealth of opportunities for significantly advancing the field of quantum phase transitions. However, properties of reentrant phase transitions driven by moir\'e strength are poorly…

Quantum Physics · Physics 2026-01-16 Guo-Qing Zhang , L. F. Quezada , Shi-Hai Dong

We investigate the nature of quantum criticality and topological phase transitions near the critical lines obtained for the extended Kitaev chain with next nearest neighbor hopping parameters and non-Hermitian chemical potential. We…

Strongly Correlated Electrons · Physics 2023-07-31 S Rahul , Nilanjan Roy , Ranjith R Kumar , Y R Kartik , Sujit Sarkar

Fathoming interplay between symmetry and topology of many-electron wave-functions has deepened understanding of quantum many body systems, especially after the discovery of topological insulators. Topology of electron wave-functions…

Strongly Correlated Electrons · Physics 2017-03-15 SangEun Han , Gil Young Cho , Eun-Gook Moon

For a generalized Su-Schrieffer-Heeger model the energy zero is always critical and hyperbolic in the sense that all reduced transfer matrices commute and have their spectrum off the unit circle. Disorder driven topological phase…

Mathematical Physics · Physics 2023-05-03 Joris De Moor , Christian Sadel , Hermann Schulz-Baldes

We have studied the phase transition of the contact process near a multiple junction of $M$ semi-infinite chains by Monte Carlo simulations. As opposed to the continuous transitions of the translationally invariant ($M=2$) and semi-infinite…

Statistical Mechanics · Physics 2017-02-14 R. Juhász , F. Iglói

We show, via explicit computation on a constrained bosonic model, that the presence of subsystem symmetries can lead to a quantum phase transition (QPT) where the critical point exhibits an emergent enhanced symmetry. Such a transition…

Strongly Correlated Electrons · Physics 2025-08-27 Anirudha Menon , Anwesha Chattopadhyay , K. Sengupta , Arnab Sen

We investigate the critical behavior and the dynamics of the amplitude (Higgs) mode close to the superfluid-insulator quantum phase transition in an amorphous system (i.e., a system subject to topological randomness). In particular, we map…

Disordered Systems and Neural Networks · Physics 2024-10-11 Vishnu Pulloor Kuttanikkad , Martin Puschmann , Rajesh Narayanan , Thomas Vojta

Quantum phase transitions are a ubiquitous many-body phenomenon that occurs in a wide range of physical systems, including superconductors, quantum spin liquids, and topological materials. However, investigations of quantum critical systems…

Strongly Correlated Electrons · Physics 2021-09-06 Timo Kist , Jose L. Lado , Christian Flindt

Schelling's model of segregation demonstrates that even in the absence of social or governmental interventions, individuals with mild in-group preferences can self-organize into strongly segregated neighborhoods. Many variants of this…

Physics and Society · Physics 2026-02-11 Fabio van Dissel , Tuan Minh Pham , Wout Merbis

Interdependent networks are more fragile under random attacks than simplex networks, because interlayer dependencies lead to cascading failures and finally to a sudden collapse. This is a hybrid phase transition (HPT), meaning that at the…

Statistical Mechanics · Physics 2016-04-12 Deokjae Lee , S. Choi , M. Stippinger , J. Kertész , B. Kahng

We study decoherence induced by a dynamic environment undergoing a quantum phase transition. Environment's susceptibility to perturbations - and, consequently, efficiency of decoherence - is amplified near a critical point. Over and above…

Quantum Physics · Physics 2013-05-29 Bogdan Damski , H. T. Quan , Wojciech H. Zurek

Random graphs have played an instrumental role in modelling real-world networks arising from the internet topology, social networks, or even protein-interaction networks within cells. Percolation, on the other hand, has been the fundamental…

Probability · Mathematics 2018-09-12 Souvik Dhara

The interest in the topological properties of materials brings into question the problem of topological phase transitions. As a control parameter is varied, one may drive a system through phases with different topological properties. What…

Strongly Correlated Electrons · Physics 2019-03-05 Mucio A. Continentino , Sabrina Rufo , Griffith M. Rufo