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Related papers: Effects of geometric frustration in Kitaev chains

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We investigate the topological properties of a Kitaev chain in the shape of a legged-ring, which is here referred to as Kitaev tie. We demonstrate that the Kitaev tie is a frustrated system in which topological properties are determined by…

Mesoscale and Nanoscale Physics · Physics 2021-01-29 Alfonso Maiellaro , Francesco Romeo , Roberta Citro

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 investigate the topological properties of a dimerized Kitaev chain with long-range interactions, including the intercell hopping and superconducting pairing terms. It is found that even only when the intercell hopping term appears, the…

Mesoscale and Nanoscale Physics · Physics 2020-09-18 Xue-Si Li , Jia-Rui Li , Shu-Feng Zhang , Lian-Lian Zhang , Wei-Jiang Gong

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

We study the phase diagram of a topological string-net type lattice model in the presence of geometrically frustrated interactions. These interactions drive several phase transitions that reduce the topological order, leading to a rich…

Statistical Mechanics · Physics 2016-10-12 Marc D. Schulz , Fiona J. Burnell

We consider the Kitaev chain model with finite and infinite range in the hopping and pairing parameters, looking in particular at the appearance of Majorana zero energy modes and massive edge modes. We study the system both in the presence…

Strongly Correlated Electrons · Physics 2017-06-01 Antonio Alecce , 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 present a comprehensive study of two of the most experimentally relevant extensions of Kitaev's spinless model of a 1D p-wave superconductor: those involving (i) longer range hopping and superconductivity and (ii) inhomogeneous…

Superconductivity · Physics 2013-10-08 Wade DeGottardi , Manisha Thakurathi , Smitha Vishveshwara , Diptiman Sen

We investigate emergent topological gapless phases in the square-lattice Kitaev model with additional hopping terms. In the presence of nearest-neighbor hopping only, the model is known to exhibit gapless phases with two topological gapless…

Strongly Correlated Electrons · Physics 2023-11-21 Jihyeon Park , Gun Sang Jeon

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

We study a one-dimensional topological superconductor, the Kitaev chain, under the influence of a non-Hermitian but $\mathcal{PT}$-symmetric potential. This potential introduces gain and loss in the system in equal parts. We show that the…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Henri Menke , Moritz M. Hirschmann

We systematically study a Kitaev chain with imbalanced pair creation and annihilation, which is introduced by non-Hermitian pairing terms. Exact phase diagram shows that the topological phase is still robust under the influence of the…

Quantum Physics · Physics 2018-03-28 C. Li , X. Z. Zhang , G. Zhang , Z. Song

We study the phase diagram of a disordered Kitaev chain with long-range pairing when connected to two metallic leads exchanging particles with external Lindblad baths. We (i) monitor the subgap modes at increasing disorder, (ii) compute the…

Strongly Correlated Electrons · Physics 2025-04-30 Emmanuele G. Cinnirella , Andrea Nava , Gabriele Campagnano , Domenico Giuliano

We study the hole-doped Kitaev-Heisenberg chain using the density-matrix renormalization group. In the Kitaev-only limit, the bond-directional exchange itself promotes pairing, favoring spin-singlet and spin-triplet superconducting…

Strongly Correlated Electrons · Physics 2026-04-01 Cliò Efthimia Agrapidis , Satoshi Nishimoto

We study electrical, thermal and thermoelectric transport in a hybrid device consisting of a long-range Kitaev chain coupled to two metallic leads at two ends. Electrical and thermal currents are calculated in this device under both voltage…

Mesoscale and Nanoscale Physics · Physics 2025-05-23 Averi Banerjee , Syeda Rafisa Rahaman , Nilanjan Bondyopadhaya

In recent years, tools from quantum information theory have become indispensable in characterizing many-body systems. In this work, we employ measures of entanglement to study the interplay between disorder and the topological phase in 1D…

Mesoscale and Nanoscale Physics · Physics 2019-01-18 Liron Levy , Moshe Goldstein

We introduce a one-dimensional non-Hermitian Kitaev chain with staggered imbalance in the $p$-wave superconducting pairing. By tuning the chemical potential and the pairing imbalance, we find that the eigenenergy spectrum undergoes…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Xiao-Jue Zhang , Rong Lü , Qi-Bo Zeng

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

We present a detailed study of the topological properties of the Kitaev chain with long-range pairing terms and in the presence of an Aubry-Andr\'e-Harper on-site potential. Specifically, we consider algebraically decaying superconducting…

Mesoscale and Nanoscale Physics · Physics 2021-03-01 Joana Fraxanet , Utso Bhattacharya , Tobias Grass , Debraj Rakshit , Maciej Lewenstein , Alexandre Dauphin

The state of a quantum system, adiabatically driven in a cycle, may acquire a measurable phase depending only on the closed trajectory in parameter space. Such geometric phases are ubiquitous, and also underline the physics of robust…

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