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Majorana modes can arise as zero energy bound states in a variety of solid state systems. A two-dimensional phase supporting these quasiparticles, for instance, emerges on the surface of a topological superconductor with the zero modes…

Strongly Correlated Electrons · Physics 2021-03-26 Tarun Tummuru , Alberto Nocera , Ian Affleck

We study superconducting pairing in the doped Kitaev-Heisenberg model by taking into account the recently proposed symmetric off-diagonal exchange $\Gamma$. By performing a mean-field analysis, we classify all possible superconducting…

Superconductivity · Physics 2018-01-17 Johann Schmidt , Daniel D. Scherer , Annica M. Black-Schaffer

The Kitaev model on the honeycomb lattice is a paradigmatic system known to host a wealth of nontrivial topological phases and Majorana edge modes. In the static case, the Majorana edge modes are nondispersive. When the system is…

Strongly Correlated Electrons · Physics 2021-05-19 Paolo Molignini , Albert Gasull Celades , R. Chitra , Wei Chen

The Kitaev-Hubbard model of interacting fermions is defined on the honeycomb lattice and, at strong coupling, interpolates between the Heisenberg model and the Kitaev model. It is basically a Hubbard model with ordinary hopping $t$ and…

Strongly Correlated Electrons · Physics 2015-06-11 J. P. L. Faye , S. R. Hassan , D. Sénéchal

In extended Kitaev models on the honeycomb lattice, off-diagonal interactions (e.g. the $\Gamma, \Gamma^{'}$ terms) give rise to non-Kitaev quantum spin liquid (QSL) and several magnetically ordered phases. In the present work, we dope…

Strongly Correlated Electrons · Physics 2021-09-14 Su-Ming Zhang , Zheng-Xin Liu

Topological phases in magnetic materials offer novel tunability of topological properties via varying the underlying magnetism. We show that three dimensional Kitaev materials can provide a great opportunity for controlling…

Strongly Correlated Electrons · Physics 2021-10-11 Wonjune Choi , Tomonari Mizoguchi , Yong Baek Kim

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

We study the dynamics of a three-dimensional generalization of Kitaev's honeycomb lattice spin model (defined on the hyperhoneycomb lattice) subjected to a harmonic driving of $J_z$, one of the three types of spin-couplings in the…

Strongly Correlated Electrons · Physics 2024-03-12 Soumya Sasidharan , Naveen Surendran

Topological flat bands have gained extensive interest as a platform for exploring the interplay between nontrivial band topology and correlation effects. In recent studies, strongly correlated phenomena originating from a topological flat…

Mesoscale and Nanoscale Physics · Physics 2025-04-25 Sogen Ikegami , Kiyu Fukui , Shun Okumura , Yasuyuki Kato , Yukitoshi Motome

We present a comprehensive theoretical study of interacting and disordered topological phases of coupled Kitaev wires, which may support further realistic applications of Majorana fermions. We develop a variety of analytical, mathematical…

Superconductivity · Physics 2025-04-08 Frederick Del Pozo , Loïc Herviou , Olesia Dmytruk , Karyn Le Hur

Exactly soluble spin-$\frac{1}2$ models on three-dimensional lattices are proposed by generalizing Kitaev model on honeycomb lattice to three dimensions with proper periodic boundary conditions. The simplest example is spins on a diamond…

Strongly Correlated Electrons · Physics 2011-11-10 Tieyan Si , Yue yu

The ground-state properties of the single-band triangular lattice Hubbard model with hopping anisotropy and strong interactions remain elusive so far. Here we show that twisted diamond homobilayers with band extrema at $Y$ valley can…

Strongly Correlated Electrons · Physics 2025-03-26 Wen Sun , Chuyi Tuo , Hong Yao

We propose a minimalist architecture for achieving various crystalline-symmetry-protected Majorana modes in an array of coupled quantum dots. Our framework is motivated by the recent experimental demonstrations of two-site and three-site…

Mesoscale and Nanoscale Physics · Physics 2024-07-02 Bradraj Pandey , Gonzalo Alvarez , Elbio Dagotto , Rui-Xing Zhang

We study the Kitaev-Ising model, where ferromagnetic Ising interactions are added to the Kitaev model on a lattice. This model has two phases which are characterized by topological and ferromagnetic order. Transitions between these two…

Quantum Physics · Physics 2013-03-27 Vahid Karimipour , Laleh Memarzadeh , Parisa Zarkeshian

Existence of nontrivial topological phases in a tight binding Haldane-like model on the depleted Lieb lattice is reported. This two-band model is formulated by considering the nearest-neighbor, next-nearest-neighbor and…

Mesoscale and Nanoscale Physics · Physics 2023-12-18 Arghya Sil , Asim Kumar Ghosh

An effective model in the isolated dimer limit of the Kitaev-type model on a decorated honeycomb lattice is investigated at finite temperature. The ground state of this model is exactly shown to be a chiral spin liquid with spontaneous…

Strongly Correlated Electrons · Physics 2015-06-19 Joji Nasu , Yukitoshi Motome

The Kitaev-Heisenberg model defined on both honeycomb and triangular lattices has been studied intensively in recent years as a possible model to describe spin-orbital physics in iridium oxides. In the model, there are many phases…

Strongly Correlated Electrons · Physics 2018-08-15 Masanori Kishimoto , Katsuhiro Morita , Yukihiro Matsubayashi , Shigetoshi Sota , Seiji Yunoki , Takami Tohyama

Dimer models have long been a fruitful playground for understanding topological physics. Here we introduce a new class - termed Majorana-dimer models - wherein bosonic dimers are decorated with pairs of Majorana modes. We find that the…

Strongly Correlated Electrons · Physics 2016-09-14 Brayden Ware , Jun Ho Son , Meng Cheng , Ryan V. Mishmash , Jason Alicea , Bela Bauer

We investigate the nonlinear response of the Kitaev honeycomb lattice model in a weak magnetic field using the theory of two-dimensional coherent spectroscopy. We observe that at the isotropic point in the non-Abelian phase of this model,…

Strongly Correlated Electrons · Physics 2023-04-10 M. Kazem Negahdari , Abdollah Langari

We identify the existence of various symmetry-protected topological states in one-dimensional superlattices with periodically modulated hopping amplitudes or on-site potentials, which can be characterized by the quantized Berry phase $\pi$…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Huaiming Guo , Shu Chen