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We study the effective low-energy fermionic theory of the Kondo-Kitaev model to leading order in the Kondo coupling. Our main goal is to understand the nature of the superconducting instability induced in the proximate metal due to its…

Superconductivity · Physics 2024-05-07 Sondre Duna Lundemo , Asle Sudbø

We consider the effect of spin-orbit coupling on a two-dimensional Kondo Lattice model, in which conduction electrons are antiferromagnetically coupled to a Yao-Lee spin liquid. When a Rashba spin-orbit interaction and a nearest-neighbor…

Strongly Correlated Electrons · Physics 2025-01-07 Zekun Zhuang , Piers Coleman

We theoretically address spin chain analogs of the Kitaev quantum spin model on the honeycomb lattice. The emergent quantum spin liquid phases or Anderson resonating valence bond (RVB) states can be understood, as an effective model, in…

Strongly Correlated Electrons · Physics 2017-11-15 Karyn Le Hur , Ariane Soret , Fan Yang

Superconductivity usually emerges from a metallic normal state which follows the Fermi-liquid paradigm. If, in contrast, the normal state is a fractionalized non-Fermi liquid, then pairing may either eliminate fractionalization via a…

Strongly Correlated Electrons · Physics 2025-05-22 Matthew Bunney , Urban F. P. Seifert , Stephan Rachel , Matthias Vojta

Topology, symmetry, electron correlations, and the interplay between them have formed the cornerstone of our understanding of quantum materials in recent years and are used to identify new emerging phases. While the first two give a fair…

Strongly Correlated Electrons · Physics 2022-12-07 Fatemeh Mohammadi , Amirhossein Saedpanah , Abolhassan Vaezi , Mehdi Kargarian

By using an extended mean-field theory, we study the phase diagram of the topological Kondo lattice model on the honeycomb lattice at half-filling in which the conduction electrons are described by the Haldane model. Besides the…

Strongly Correlated Electrons · Physics 2013-01-24 Yin Zhong , Yu-Feng Wang , Yong-Qiang Wang , Hong-Gang Luo

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

We find evidence that superconductivity intrudes into the paramagnetic-to-magnetic transition of the Kondo lattice model if magnetic frustration is added. Specifically, we study by variational method the model on a square lattice in the…

Strongly Correlated Electrons · Physics 2014-11-12 Mohammad Zhian Asadzadeh , Michele Fabrizio , Federico Becca

A conclusive experimental realization of 2D chiral topological superconductivity remains elusive. Here we present a theoretical demonstration that a topological $d+id$ fractionalized superconducting phase (SC*) can emerge in the…

Strongly Correlated Electrons · Physics 2025-12-22 Chengzhi Tang , Hong Yao

The Kitaev model exhibits a Quantum Spin Liquid hosting emergent fractionalized excitations. We study the Kitaev model on the honeycomb lattice coupled to a magnetic field along the [111] axis. Utilizing large scale matrix product based…

Strongly Correlated Electrons · Physics 2018-12-06 Matthias Gohlke , Roderich Moessner , Frank Pollmann

Motivated by the recent numerical simulations for doped $t$-$J$ model on the honeycomb lattice, we study superconductivity of singlet and triplet pairing on the honeycomb lattice Hubbard model. We show that a superconducting state with…

Strongly Correlated Electrons · Physics 2020-12-25 Yang Qi , Liang Fu , Kai Sun , Zhengcheng Gu

We study a honeycomb Kondo lattice model in which Dirac conduction electrons are coupled to a spin-1/2 Kitaev quantum spin liquid. For weak Kondo coupling, the spins fractionalize into Majorana fermions comprising a gapless Dirac mode and…

Strongly Correlated Electrons · Physics 2026-03-30 Jennifer Lin , Frank Krüger

Topological spin liquids in two spatial dimensions are stable phases in the presence of a small magnetic field, but may give way to field-induced phenomena at intermediate field strengths. Sandwiched between the low-field spin liquid…

Strongly Correlated Electrons · Physics 2021-02-17 Ciarán Hickey , Matthias Gohlke , Christoph Berke , Simon Trebst

A spin-$\frac{1}{2}$ Kitaev sublattice interacting with a subsystem of spinless fermions is studied on a honeycomb lattice when the fermion band is half filled. The model Hamiltonian describes a topological Kondo lattice with the Kitaev…

Strongly Correlated Electrons · Physics 2015-04-08 Igor N. Karnaukhov , Igor O. Slieptsov

We explore the potential experimental realization of the mixed-spin Kitaev model in materials such as Zr$_{0.5}$Ru$_{0.5}$Cl$_3$, where spin-1/2 and spin-3/2 ions occupy distinct sublattices of a honeycomb lattice. By developing a…

Strongly Correlated Electrons · Physics 2025-05-09 Willian Natori , Yang Yang , Hui-Ke Jin , Johannes Knolle , Natalia B. Perkins

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

Topological superconductors support Majorana modes, which are quasiparticles that are their own antiparticles and which obey non-Abelian statistics in which successive exchanges of particles do not always commute. Here we investigate…

Superconductivity · Physics 2024-03-29 Jonathan Schirmer , J. K. Jain , C. -X. Liu

Motivated by recent experiments on $\beta-$Li$_2$IrO$_3$, we study the phase diagram of the Heisenberg-Kitaev model on a three dimensional lattice of tri-coordinated Ir$^{4+}$, dubbed the hyperhoneycomb lattice by Takagi et. al. The lattice…

Strongly Correlated Electrons · Physics 2014-01-22 Eric Kin-Ho Lee , Robert Schaffer , Subhro Bhattacharjee , Yong Baek Kim

We investigate the nature of the topological phase transition of the antiferromagnetic Kitaev model on the honeycomb lattice in the presence of a magnetic field along the [111] direction. The field opens a topological gap in the Majorana…

Strongly Correlated Electrons · Physics 2026-03-30 S. Thiagarajan , C. Watson , T. Yzeiri , H. Hu , B. Uchoa , F. Krüger

We explore superconductivity in strongly interacting electrons on a decorated honeycomb lattice (DHL). An easy-plane ferromagnetic interaction arises from spin-orbit coupling in the Mott insulating phase, which favors a triplet resonance…

Superconductivity · Physics 2022-12-22 Manuel Fernández López , Ben J. Powell , Jaime Merino
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