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We consider ultracold atoms in a two-dimensional optical lattice of the dice geometry in a tight-binding regime. The atoms experience a laser-assisted tunneling between the nearest neighbour sites of the dice lattice accompanied by the…

Motivated by the prospect of attaining Majorana modes at the ends of nanowires, we analyze interacting Majorana systems on general networks and lattices in an arbitrary number of dimensions, and derive various universal spin duals. Such…

介观与纳米尺度物理 · 物理学 2013-01-16 Zohar Nussinov , Gerardo Ortiz , Emilio Cobanera

We show that networks of topological nanowires can realize the physics of exactly solvable Kitaev spin models with two-body interactions. This connection arises from the description of the low-energy theory of both systems in terms of a…

介观与纳米尺度物理 · 物理学 2014-02-26 Graham Kells , Ville Lahtinen , Jiri Vala

This paper studies an extended Kitaev chain with three sublattices per unit cell. This extended version is obtained by hybridizing a modified Su-Schrieffer-Heeger model featuring trimerized unit cells with the standard Kitaev chain,…

介观与纳米尺度物理 · 物理学 2026-02-13 Mohammad Ghuneim , Raditya Weda Bomantara

Fractional excitations hold immense promise for both fundamental physics and quantum technologies. However, constructing lattice models for their dynamics under gauge fields remains a formidable challenge due to inherent obstructions. Here,…

强关联电子 · 物理学 2025-07-22 K. B. Yogendra , G. Baskaran , Tanmoy Das

We unveil an interesting example of topological flat bands of Majorana fermions in quantum spin liquids. We study the Kitaev model on a periodically depleted honeycomb lattice, under a magnetic field within the perturbation theory. The…

强关联电子 · 物理学 2025-10-10 Kiyu Fukui , Yukitoshi Motome

The expected phenomenology of non-interacting topological band insulators (TBI) is now largely theoretically understood. However, the fate of TBIs in the presence of interactions remains an active area of research with novel,…

强关联电子 · 物理学 2013-05-30 Mehdi Kargarian , Abdollah Langari , Gregory A. Fiete

We present the phase diagram and critical properties of a coupled $XY$-Ising model on a triangular lattice using the mean-field approximation, the Migdal-Kadanoff scheme of renormalization group and Monte-Carlo simulations. The topology of…

凝聚态物理 · 物理学 2009-10-28 M. Hébert , M. L. Plumer

Altermagnet-superconductor heterostructures have been shown, in principle, to provide a route towards realising topological superconductivity, and therefore host topologically protected boundary states. In this work we demonstrate that the…

介观与纳米尺度物理 · 物理学 2026-01-12 George McArdle , Brian Kiraly , Peter Wadley , Adam Gammon-Smith

We present a scheme to realize a topological superconducting system supporting Majorana zero modes, within a number-conserving framework suitable for optical-lattice experiments. Our approach builds on the engineering of pair-hopping…

We derive and study a spin one-half Hamiltonian on a honeycomb lattice describing the exchange interactions between Ir$^{4+}$ ions in a family of layered iridates $A_2$IrO$_3$ ($A$=Li,Na). Depending on the microscopic parameters, the…

强关联电子 · 物理学 2014-11-20 Jiri Chaloupka , George Jackeli , Giniyat Khaliullin

In two dimensions, topological phases of free Majorana fermions coupled to a $\mathbb{Z}_2$ gauge field are known to be classified according to the Chern number $\nu \in \mathbb{Z}$. Its value mod 16 specifies the type of anyonic…

强关联电子 · 物理学 2023-04-06 J. -N. Fuchs , S. Patil , J. Vidal

We investigate the topological phase diagram of {an extension of the Haldane model with equal spin pairing superconductivity}. In two dimensions, we find a topological nodal superconducting phase, which exhibits a chiral Majorana mode…

介观与纳米尺度物理 · 物理学 2026-04-21 Simone Traverso , Niccolò Traverso Ziani , Maura Sassetti , Fernando Dominguez

We demonstrate that a plethora of higher order topological phases emerge in magnet-superconductor hybrid (MSH) systems through the interplay of a stacked magnetic structure and an underlying triangular surface lattice; the latter being of…

We show that the decorated honeycomb lattice supports a number of topological insulating phases with a non-trivial Z_2 invariant and time-reversal symmetry protected gapless edge modes. We investigate the stability of these phases with…

介观与纳米尺度物理 · 物理学 2010-05-20 Andreas Rüegg , Jun Wen , Gregory A. Fiete

Motivated by the recent experimental realization of the Haldane model by ultracold fermions in an optical lattice, we investigate phase diagrams of the hard-core Bose-Hubbard model on a honeycomb lattice. This model is closely related with…

量子气体 · 物理学 2017-08-02 T. Nakafuji , I. Ichinose

Kitaev's honeycomb-lattice spin-$1/2$ model has become a paradigmatic example for $\mathbb{Z}_2$ quantum spin liquids, both gapped and gapless. Here we study the fate of these spin-liquid phases in differently stacked bilayer versions of…

We use the methods of topological quantum chemistry to explore the topology of phonons on time-reversal symmetric crystals with the structure of the planar honeycomb (layer group $p6/mmm$). This approach is not tied to a particular model of…

介观与纳米尺度物理 · 物理学 2021-03-03 Juan L. Mañes

The edge state of the topological insulator coupled to a superconductor system is able to simulate the Majorana fermion in zero energy mode since the Kitaev-type pairing is induced by exchanging quasi-excitations in electron tunneling.…

介观与纳米尺度物理 · 物理学 2025-06-23 Xin Yue , Guo-Jian Qiao , C. P. Sun

As the simplest non-Fermi liquids, orthogonal metals have gapped single-particle excitations but show normal metallic behaviors in thermodynamic and transport quantities. Such an exotic metallic state could be realized in a Hubbard model…

强关联电子 · 物理学 2014-11-05 Yin Zhong , Lan Zhang , Han-Tao Lu , Hong-Gang Luo