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In this paper, we investigate signatures of topological phase transitions in interacting systems. We show that the key signature is the existence of a topologically protected level crossing, which is robust and sharply defines the…

Strongly Correlated Electrons · Physics 2011-12-08 Christopher N. Varney , Kai Sun , Marcos Rigol , Victor Galitski

Recently topological states of matter have witnessed a new physical phenomenon where both edge modes and gapless bulk coexist at topological quantum criticality. The presence and absence of edge modes on a critical line can lead to an…

Strongly Correlated Electrons · Physics 2023-05-12 Ranjith R Kumar , Nilanjan Roy , Y R Kartik , S Rahul , Sujit Sarkar

Quantum phase transitions are central to our understanding of why matter at very low temperatures can exhibit starkly different properties upon small changes of microscopic parameters. Accurately locating those transitions is challenging…

Statistical Mechanics · Physics 2021-09-23 Asmi Haldar , Krishnanand Mallayya , Markus Heyl , Frank Pollmann , Marcos Rigol , Arnab Das

Topological quantum phase transitions are characterised by changes in global topological invariants. These invariants classify many body systems beyond the conventional paradigm of local order parameters describing spontaneous symmetry…

Strongly Correlated Electrons · Physics 2015-05-12 A. Amaricci , J. C. Budich , M. Capone , B. Trauzettel , G. Sangiovanni

Spatially resolved local quantum geometric markers play a crucial role in the diagnosis of topological phases without long-range translational symmetry, including amorphous systems. Here, we focus on the nonlocality of such markers. We…

Mesoscale and Nanoscale Physics · Physics 2025-11-14 Quentin Marsal , Hui Liu , Emil J. Bergholtz , Annica M. Black-Schaffer

In closed quantum systems, a dynamical phase transition is identified by nonanalytic behaviors of the return probability as a function of time. In this work, we study the nonunitary dynamics following quenches across exceptional points in a…

Statistical Mechanics · Physics 2018-08-29 Longwen Zhou , Qing-hai Wang , Hailong Wang , Jiangbin Gong

Understanding phase transitions in quantum matters constitutes a significant part of present day condensed matter physics. Quantum phase transitions concern ground state properties of many-body systems, and hence their signatures are…

Statistical Mechanics · Physics 2015-12-15 Sirshendu Bhattacharyya , Subinay Dasgupta , Arnab Das

Topology forms a cornerstone in modern condensed matter and statistical physics, offering a new framework to classify the phases and phase transitions beyond the traditional Landau paradigm. However, it is widely believed that topological…

Strongly Correlated Electrons · Physics 2026-01-05 Xue-Jia Yu , Limei Xu , Hai-Qing Lin

A quantum phase transition is usually achieved by tuning physical parameters in a Hamiltonian at zero temperature. Here, we demonstrate that the ground state of a topological phase itself encodes critical properties of its transition to a…

Strongly Correlated Electrons · Physics 2014-09-10 Timothy H. Hsieh , Liang Fu

Topological phase transitions challenge conventional paradigms in many-body physics by separating phases that are locally indistinguishable yet globally distinct. Using a quantum simulator of interacting erbium atoms in an optical lattice,…

Critical edge states appear at the bulk gap closing points of topological transitions. Their emergence signify the existence of topologically nontrivial critical points, whose descriptions fall outside the scope of gapped topological…

Mesoscale and Nanoscale Physics · Physics 2025-12-25 Longwen Zhou , Rujia Jing , Shenlin Wu

We demonstrate the existence of topological phase transitions in interacting, symmetry-protected quantum matter at finite temperatures. Using a combined numerical and analytical approach, we study a one-dimensional Su-Schrieffer-Heeger…

Quantum Gases · Physics 2025-02-11 Ze-Min Huang , Sebastian Diehl

Second order quantum phase transitions, with well-known features such as long-range entanglement, symmetry breaking, and gap closing, exhibit quantum enhancement for sensing at criticality. However, it is unclear which of these features are…

Quantum Physics · Physics 2022-08-29 Saubhik Sarkar , Chiranjib Mukhopadhyay , Abhijeet Alase , Abolfazl Bayat

Topological phase transitions in condensed matters accompany emerging singularities of the electronic wave function, often manifested by gap-closing points in the momentum space. In conventional topological insulators in three dimensions…

Strongly Correlated Electrons · Physics 2014-10-02 Bohm-Jung Yang , Eun-Gook Moon , Hiroki Isobe , Naoto Nagaosa

We study a continuous quantum phase transition that breaks a $Z_2$ symmetry. We show that the transition is described by a new critical point which does not belong to the Ising universality class, despite the presence of well defined…

Strongly Correlated Electrons · Physics 2011-07-19 Ying Ran , Xiao-gang Wen

Recently, the intriguing interplay between topology and quantum criticality has been unveiled in one-dimensional topological chains with extended nearest-neighbor couplings. In these systems, topologically distinct critical phases emerge…

Disordered Systems and Neural Networks · Physics 2025-07-25 Ranjith R Kumar , Pasquale Marra

Topological gapless phases of matter have been a recent interest among theoretical and experimental condensed matter physicists. Fermionic chains with extended nearest neighbor couplings have been observed to show unique topological…

Quantum Physics · Physics 2025-04-08 Ranjith R Kumar , Hideaki Obuse

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

Motivated by recent experimental progress in the study of quantum systems far from equilibrium, we investigate the relation between several dynamical signatures of topology in the coherent time-evolution after a quantum quench.…

Quantum Physics · Physics 2020-09-28 Lorenzo Pastori , Simone Barbarino , Jan Carl Budich

Equilibrium phase transitions may be defined as nonanalytic points of thermodynamic functions, e.g., of the canonical free energy. Given a certain physical system, it is of interest to understand which properties of the system account for…

Statistical Mechanics · Physics 2008-01-08 Michael Kastner
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