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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…

介观与纳米尺度物理 · 物理学 2020-09-18 Xue-Si Li , Jia-Rui Li , Shu-Feng Zhang , Lian-Lian Zhang , Wei-Jiang Gong

Tight bosonic analogs of free-fermionic symmetry-protected topological phases, and their associated edge-localized excitations, have long evaded the grasp of condensed-matter and AMO physics. In this work, building on our initial…

量子物理 · 物理学 2024-01-17 Vincent P. Flynn , Emilio Cobanera , Lorenza Viola

We examine theoretically the visualization of Majorana fermions in a two-dimensional trapped ultracold atomic Fermi gas with spin-orbit coupling. By increasing an external Zeeman field, the trapped gas transits from non-topological to…

量子气体 · 物理学 2012-02-24 Xia-Ji Liu , Lei Jiang , Han Pu , Hui Hu

We study the topological edge plasmon modes between two "diatomic" chains of identical plasmonic nanoparticles. Zak phase for longitudinal plasmon modes in each chain is calculated analytically by solutions of macroscopic Maxwell's…

介观与纳米尺度物理 · 物理学 2015-05-11 C. W. Ling , Meng Xiao , C. T. Chan , S. F. Yu , Kin Hung Fung

Graphene, a two dimensional (2D) carbon sheet, acquires many of its amazing properties from the Dirac point nature of its electronic structures with negligible spin-orbit coupling. Extending to 3D space, graphene networks with negative…

介观与纳米尺度物理 · 物理学 2015-07-09 Hongming Weng , Yunye Liang , Qiunan Xu , Rui Yu , Zhong Fang , Xi Dai , Yoshiyuki Kawazoe

In quenching a topological phase across phase transition, the dynamical bulk-surface correspondence emerges that the bulk topology of $d$-dimensional ($d$D) phase relates to the nontrivial pattern of quench dynamics emerging on $(d-1)$D…

Majorana modes and fractional fermions are two types of edge zero modes appearing separately in topological superconductors and dimerized chains. Here we reveal how to harvest both types of edge modes simultaneously in an exotic chain. Such…

强关联电子 · 物理学 2016-02-04 Dan-bo Zhang , Qiang-Hua Wang , Z. D. Wang

We investigate the evolutions of edge Majorana fermions (MFs) and unveil that they can be used to char- acterize different topological phases and study the topological phase transitions. For some limiting cases of the evolution process for…

介观与纳米尺度物理 · 物理学 2018-10-24 Yucheng Wang

Two-dimensional second-order topological superconductors host zero-dimensional Majorana bound states at their boundaries. In this work, focusing on rotation-invariant crystalline topological superconductors, we establish a bulk-boundary…

介观与纳米尺度物理 · 物理学 2020-04-29 Elis Roberts , Jan Behrends , Benjamin Béri

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…

介观与纳米尺度物理 · 物理学 2018-01-03 Max McGinley , Johannes Knolle , Andreas Nunnenkamp

Topological phases supported by quasi-periodic spin-chain models and their bulk-boundary principles are investigated by numerical and K-theoretic methods. We show that, for both the un-correlated and correlated phases, the operator algebras…

强关联电子 · 物理学 2024-02-13 Yifei Liu , Lea F. Santos , Emil Prodan

The fermionic and Majorana edge mode dynamics of various topological systems is compared, after a sudden global quench of the Hamiltonian parameters takes place. Attention is focused on the regimes where the survival probability of an edge…

介观与纳米尺度物理 · 物理学 2016-06-22 P. D. Sacramento

Majorana zero modes are well studied in the gapped phases of topological systems. We investigate Majorana zero modes at the topological quantum criticality in one dimensional topological superconducting model with longer range interaction.…

强关联电子 · 物理学 2021-07-15 S Rahul , Ranjith R Kumar , Y R Kartik , Sujit Sarkar

The Kitaev chain model exhibits topological order that manifests as topological degeneracy, Majorana edge modes and $Z_{2}$ topological invariance of the abulk spectrum. This model can be obtained from a transverse field Ising model(TFIM)…

强关联电子 · 物理学 2020-02-10 Rukhsan Ul Haq , Louis H Kauffman

Topological phase transitions in band models are usually associated to the gap closing between the highest valance band and the lowest conduction band, which can give rise to different types of nodal structures, such as Dirac/Weyl points,…

介观与纳米尺度物理 · 物理学 2024-04-05 Giandomenico Palumbo

We consider a helical spin liquid system which shows majorana fermion modes at the edge. The interaction between the quasiparticles in this system induces phase transition, Majorana-Ising transition. We comply the density matrix…

强关联电子 · 物理学 2017-08-02 Dayasindhu Dey , Sudip Kumar Saha , P. Singha Deo , Manoranjan Kumar , Sujit Sarkar

We study one-component fermions in chain lattices with proximity-induced superconducting gap and interparticle short-range interaction, capable of hosting Majorana fermions. By systematically tracking various physical quantities, we show…

超导电性 · 物理学 2015-09-22 Y. -H. Chan , Ching-Kai Chiu , Kuei Sun

The search for robust topological superconductivity and Majorana bound states continues, exploring both one-dimensional (1D) systems such as semiconducting nanowires and two-dimensional (2D) platforms. In this work we study a 2D approach…

介观与纳米尺度物理 · 物理学 2023-04-21 Fernando Peñaranda , Ramón Aguado , Elsa Prada , Pablo San-Jose

Semiconducting nanowires in proximity to superconductors are promising experimental systems for Majorana fermions, which may ultimately be used as building blocks for topological quantum computers. A serious challenge in the experimental…

超导电性 · 物理学 2012-07-19 Jay D. Sau , S. Das Sarma

A topological superfluid phase characterized by an emergent chiral-p-wave pair potential is expected to form in a two-dimensional Fermi superfluid subject to s-wave pairing, spin-orbit coupling and a large-enough Zeeman splitting. Andreev…

量子气体 · 物理学 2023-05-17 Kadin Thompson , Joachim Brand , Ulrich Zülicke