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Related papers: Topological phases in Kitaev chain with imbalanced…

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It was recently shown that an interacting Kitaev topological superconductor model is exactly solvable based on two-step Jordan-Wigner transformations together with one spin rotation. We generalize this model by including the dimerization,…

Strongly Correlated Electrons · Physics 2017-10-25 Motohiko Ezawa

We study the combined effects of disorder and range of the couplings on the phase diagram of one-dimensional topological superconductors. We consider an extended version of the Kitaev chain where hopping and pairing terms couple many sites.…

Strongly Correlated Electrons · Physics 2023-04-28 Gianluca Francica , Edoardo Maria Tiburzi , Luca Dell'Anna

We study the energy levels and transport properties of an extended Kitaev chain with a phase gradient. It is demonstrated that the hopping phase difference can effectively induce the generation of Majorana bound states, which are located at…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Xuan Zhang , Cheng-Ming Miao , Qing-Feng Sun , Ying-Tao Zhang

We classify the gapped phases of Z_N parafermions in one dimension and construct a representative of each phase. Even in the absence of additional symmetries besides parafermionic parity, parafermions may be realized in a variety of phases,…

Strongly Correlated Electrons · Physics 2020-09-11 Roberto Bondesan , Thomas Quella

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

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.…

Topology in quantum matter is typically associated with gapped phases. For example, in symmetry protected topological (SPT) phases, the bulk energy gap localizes edge modes near the boundary. In this work we identify a new mechanism that…

Strongly Correlated Electrons · Physics 2021-08-25 Ryan Thorngren , Ashvin Vishwanath , Ruben Verresen

We investigate the robustness of Majorana edge modes under disorder and interactions. We exploit a recently found mapping of the interacting Kitaev chain in the symmetric region ($\mu = 0$, $t = \Delta$) to free fermions. Extending the…

Mesoscale and Nanoscale Physics · Physics 2018-01-03 Max McGinley , Johannes Knolle , Andreas Nunnenkamp

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

We study a Kitaev model on a square lattice, which describes topologically trivial superconductor when gap opens, while supports topological gapless phase when gap closes. The degeneracy points are characterized by two vortices in momentum…

Superconductivity · Physics 2019-03-22 Kunliang Zhang , Peng Wang , Zhi Song

We explore the salient features of the `Kitaev ladder', a two-legged ladder version of the spin-1/2 Kitaev model on a honeycomb lattice, by mapping it to a one-dimensional fermionic p-wave superconducting system. We examine the connections…

Strongly Correlated Electrons · Physics 2015-05-27 Wade DeGottardi , Diptiman Sen , Smitha Vishveshwara

One of the problems concerning topological phases in solid-state systems which still remains urgent is an issue of many-body effects. In this study we address it within perturbative theory framework by considering topological phase…

Mesoscale and Nanoscale Physics · Physics 2023-10-24 M. S. Shustin , S. V. Aksenov , I. S. Burmistrov

The fermionic Kitaev chain is a canonical model featuring topological Majorana zero modes. We report the experimental realization of its bosonic analogue in a nano-optomechanical network where parametric interactions induce two-mode…

The long-range interaction can fundamentally alter properties in gapped topological phases such as emergent massive edge modes. However, recent research has shifted attention to topological nontrivial critical points or phases, and it is…

Strongly Correlated Electrons · Physics 2024-08-16 Wen-Hao Zhong , Wei-Lin Li , Yong-Chang Chen , Xue-Jia Yu

Topological phases are states of matter defined by global topological invariants that remain invariant under adiabatic parameter variations, provided no topological phase transition occurs. This endows them with intrinsic robustness against…

Quantum Physics · Physics 2025-05-28 Guang-Chen He , Zhao-Xian Chen , Xiao-Meng Zhang , Ze-Guo Chen , Ming-Hui Lu

We introduce a density matrix-based network analysis to explore the ground state of the Kitaev chain, uncovering previously hidden structural and entanglement features. This approach successfully identifies the critical point associated…

Quantum Physics · Physics 2025-11-26 Guillem Llodrà , Roberta Zambrini , Gian Luca Giorgi

The key to unraveling intriguing phenomena observed in various Kitaev materials lies in understanding the interplay of Kitaev ($K$) interaction and a symmetric off-diagonal $\Gamma$ interaction. To provide insight into the challenging…

Strongly Correlated Electrons · Physics 2021-07-15 Qiang Luo , Jize Zhao , Xiaoqun Wang , Hae-Young Kee

One-dimensional lattices with chiral symmetry are known to possess quantized Zak phase and nontrivial topological phases. Here it is shown that quantized Zak phase and nontrivial edge states, partially protected by inversion symmetry rather…

Optics · Physics 2018-12-11 Stefano Longhi

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

A superconducting wire described by a p-wave pairing and a Kitaev Hamiltonian exhibits Majorana fermions at its edges and is topologically protected by symmetry. We consider two Kitaev wires (chains) coupled by a Coulomb type interaction…

Strongly Correlated Electrons · Physics 2016-05-04 Loïc Herviou , Christophe Mora , Karyn Le Hur