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Bipartite charge fluctuations (BCF) have been introduced to provide an experimental indication of many-body entanglement. They have proved themselves to be a very efficient and useful tool to characterize quantum phase transitions in a…

Strongly Correlated Electrons · Physics 2017-10-04 Loic Herviou , Christophe Mora , Karyn Le Hur

The interplay of topology and disorder in non-equilibrium quantum systems is an intriguing subject. Here, we look for a suitable platform that enables an in-depth exploration of the topic. To this end, We analyze the topological and…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 Koustav Roy , Shilpi Roy , Saurabh Basu

We investigate the topological phases in a coupled one-dimensional p-wave superconducting Fibonacci quasicrystal modeled by the quasiperiodic Kitaev chain. Recent studies have shown that the coupled system can host topological edge modes…

Superconductivity · Physics 2026-05-07 Koki Mizuno

The effect of multiple topological transitions for electron-hole excitations is discovered in full shell proximitized semiconducting nanowires with trapped superconducting vortices, recently shown to be a promising platform for the…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 A. A. Kopasov , A. S. Mel'nikov

In an attempt to theoretically investigate the quantum phase transition and criticality in topological models, we study Kitaev chain with longer-range couplings (finite number of neighbors) as well as truly long-range couplings (infinite…

Strongly Correlated Electrons · Physics 2021-08-18 Y R Kartik , Ranjith R Kumar , S Rahul , Nilanjan Roy , Sujit Sarkar

We study a periodically driven one dimensional Kitaev model in the presence of disorder. In the clean limit our model exhibits four topological phases corresponding to the existence or non-existence of edge modes at zero and pi quasienergy.…

We investigate the nature of the topological quantum phase transition between the gapless and gapped Kitaev quantum spin liquid phases away from the exactly solvable point. The transition is driven by anisotropy of the Kitaev couplings. At…

Strongly Correlated Electrons · Physics 2024-10-03 Huanzhi Hu , Frank Krüger

We numerically study the quantum phase transitions and the stability of Majorana zero modes in a generalized Kitaev model in one dimension when the chemical potential is periodically modulating in space. By using the exact diagonalization…

Statistical Mechanics · Physics 2016-06-17 Takumi Ohta , Keisuke Totsuka

We investigate the role of quantum fluctuations in topological quantum phase transitions of quantum spin Hall insulators and quantum anomalous Hall insulators. Employing the variational cluster approximation to obtain the single-particle…

Strongly Correlated Electrons · Physics 2014-04-08 Jan Carl Budich , Ronny Thomale , Gang Li , Manuel Laubach , Shou-Cheng Zhang

An attempt is made to quantum simulate the topological classification, such as winding number, geometric phase and symmetry properties for a quantum simulated Kitaev chain. We find, {\alpha} (ratio between the spin-orbit coupling and…

Strongly Correlated Electrons · Physics 2020-09-11 Y R Kartik , Ranjith R Kumar , S Rahul , Sujit Sarkar

We study quantum phase transitions in the honeycomb Kitaev model under a magnetic field, focusing on the topological nature of Majorana fermion excitations. We find a gapless phase between the low-field gapless quantum spin liquid and the…

Strongly Correlated Electrons · Physics 2018-09-12 Joji Nasu , Yasuyuki Kato , Yoshitomo Kamiya , Yukitoshi Motome

One-dimensional Floquet topological superconductors possess two types of degenerate Majorana edge modes at zero and $\pi$ quasieneriges, leaving more room for the design of boundary time crystals and quantum computing schemes than their…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Hailing Wu , Shenlin Wu , Longwen Zhou

The observation of Majorana fermions as collective excitations in condensed-matter systems is an ongoing quest, and several state-of-the-art experiments have been performed in the last decade. As a potential avenue in this direction, we…

Strongly Correlated Electrons · Physics 2022-07-27 Adhip Pattanayak , Sumiran Pujari , Gopal Dixit

Robustness of edge states and non-Abelian excitations of topological states of matter promises quantum memory and quantum processing, which is naturally immune against microscopic imperfections such as static disorder. However, topological…

Quantum Physics · Physics 2015-10-21 Ying Hu , Zi Cai , Mikhail A. Baranov , Peter Zoller

We present a general recipe to describe topological phase transitions in condensed matter systems with interactions. We show that topological invariants in the presence of interactions can be efficiently calculated by means of a…

Materials Science · Physics 2025-08-07 S. S. Krishtopenko , A. V. Ikonnikov , F. Hartmann , S. Höfling , B. Jouault , F. Teppe

The topological phases of random Kitaev $\alpha$-chains are labelled by the number of localized edge Majorana Zero Modes. The critical lines between these phases thus correspond to delocalization transitions for these localized edge…

Disordered Systems and Neural Networks · Physics 2018-10-18 Cecile Monthus

We discover novel topological effects in the one-dimensional Kitaev chain modified by long-range Hamiltonian deformations in the hopping and pairing terms. This class of models display symmetry-protected topological order measured by the…

Strongly Correlated Electrons · Physics 2016-09-20 O. Viyuela , D. Vodola , G. Pupillo , M. A. Martin-Delgado

Using a combination of the mean-field Bogoliubov deGennes (BdG) approach and the Density Matrix Renormalization Group (DMRG) method, we discover first order topological transitions between topological superconducting and trivial insulating…

Strongly Correlated Electrons · Physics 2023-03-29 Shruti Agarwal , Shreekant Gawande , Satoshi Nishimoto , Jeroen van den Brink , Sanjeev Kumar

We present a reentrant phase transition in a bridging model between two different topological models: Kitaev and Haldane chains. This model is activated by introducing a bond alternation into the Kitaev chain [A. Yu Kitaev, Phys.-Usp. {\bf…

Strongly Correlated Electrons · Physics 2017-12-20 Takanori Sugimoto , Mitsuyoshi Ohtsu , Takami Tohyama

We theoretically study a Kitaev chain with a quasiperiodic potential, where the quasiperiodicity is introduced by a Fibonacci sequence. Based on an analysis of the Majorana zero-energy mode, we find the critical $p$-wave superconducting…

Strongly Correlated Electrons · Physics 2017-10-12 Rasoul Ghadimi , Takanori Sugimoto , Takami Tohyama
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