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Certain types of topological superconductors and superfluids are known to host protected Majorana zero modes in cores of Abrikosov vortices. When such vortices are arranged in a dense periodic lattice one expects zero modes from neighboring…

Superconductivity · Physics 2015-10-28 Tianyu Liu , M. Franz

Inspired by recent experimental discoveries of superconductivity in chirally-stacked and twisted multilayer graphene, we study models of $f$-wave superconductivity on the honeycomb lattice with arbitrary numbers of layers. These models…

Superconductivity · Physics 2024-09-26 Võ Ti\'ên Phong , Héctor Sainz-Cruz , Eugene J. Mele , Francisco Guinea

We investigate dissipation-induced p-wave paired states of fermions in two dimensions and show the existence of spatially separated Majorana zero modes in a phase with vanishing Chern number. We construct an explicit and natural model of a…

Quantum Gases · Physics 2013-03-07 C. -E. Bardyn , M. A. Baranov , E. Rico , A. Imamoglu , P. Zoller , S. Diehl

We show that the topological Majorana modes in nanowires much longer than the superconducting coherence length are adiabatically connected with discrete zero-energy states generically occurring in short nanowires. We demonstrate that these…

Superconductivity · Physics 2013-03-27 Tudor D. Stanescu , Roman M. Lutchyn , S. Das Sarma

We study topological superconductor in one-dimensional (1D) mosaic lattice whose on-site potentials are modulated for equally spaced sites. When the system is topologically nontrivial, Majorana zero modes appear at the two ends of the 1D…

Disordered Systems and Neural Networks · Physics 2020-12-15 Qi-Bo Zeng , Rong Lü , Li You

Majorana zero modes are quasiparticle states localized at the boundaries of topological superconductors that are expected to be ideal building blocks for fault-tolerant quantum computing. Several observations of zero-bias conductance peaks…

We propose a novel platform for the creation and manipulation of Majorana zero modes consisting of a ferromagnetic metallic wire placed between conventional superconductors which are in proximity to ferromagnetic insulators. Our device…

Superconductivity · Physics 2022-09-16 Giorgos Livanas , Nikos Vanas , Manfred Sigrist , Georgios Varelogiannis

We propose to realize a one-dimensional chiral topological superconducting state at the magnetic domain walls stripe of a magnetic topological insulator coupled with a conventional $s$-wave superconductor. The localized Majorana zero modes…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Jing Wang

Semiconductor moir\'e superlattices provide a highly tunable platform to study the interplay between electron correlation and band topology. For example, the generalized Kane-Mele-Hubbard model can be simulated by the topological moir\'e…

Superconductivity · Physics 2024-01-11 Xun-Jiang Luo , Wen-Xuan Qiu , Fengcheng Wu

We investigate the effect of correlated disorder on Majorana zero modes (MZMs) bound to magnetic vortices in two-dimensional topological superconductors. By starting from a lattice model of interacting fermions with a $p_x \pm i p_y$…

Superconductivity · Physics 2021-07-21 Casey Christian , Eugene F. Dumitrescu , Gábor B. Halász

Topological phases in one-dimensional superconducting systems are commonly characterized by symmetry-protected invariants. These invariants determine the number of Majorana zero-energy boundary modes but do not specify their corresponding…

Other Condensed Matter · Physics 2026-05-11 Vijay Pathak , Vaishnav Mallya , Sujit Sarkar

We show that topological phases should be realizable in readily available and well studied heterostructures. In particular we identify a new class of topological materials which are well known in spintronics: helical…

Superconductivity · Physics 2017-01-26 Chien-Te Wu , Brandon M. Anderson , Wei-Han Hsiao , K. Levin

We aim to study a one-dimensional $p$-wave superconductor with quasiperiodic on-site potentials. A modified real-space-Pfaffian method is applied to calculate the topological invariants. We confirm that the Majorana zero mode is protected…

Disordered Systems and Neural Networks · Physics 2021-07-20 Shujie Cheng , Yufei Zhu , Gao Xianlong , Tong Liu

Distinguishing between topological Majorana zero modes and quasi Majorana modes -- trivial low energy Andreev bound states -- is an important step towards realizing topological hybrid nanowire devices. We propose that this distinction can…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Gu Zhang , Christian Spånslätt

We study free fermionic models that host Majorana zero modes using the Majorana orthogonal transformation, which is a type of transformation between different fermionic models under Majorana representation of complex fermions. Using…

Strongly Correlated Electrons · Physics 2021-09-08 Jianlong Fu

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…

Strongly Correlated Electrons · Physics 2016-02-04 Dan-bo Zhang , Qiang-Hua Wang , Z. D. Wang

Majorana zero modes (MZMs)--bearing potential applications for topological quantum computing--are verified in quasi-one-dimensional (1D) Fermion systems, including semiconductor nanowires, magnetic atomic chains, planar Josephson junctions.…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Shu-guang Cheng , Jie Liu , Haiwen Liu , Hua Jiang , Qing-feng Sun , X. C. Xie

There has been recent interest in superconductor-magnetic insulator hybrid Rashba nanowire setups for potentially hosting Majorana zero modes at smaller external Zeeman fields. Using the non-equilibrium Green's function technique, we…

Mesoscale and Nanoscale Physics · Physics 2023-01-27 Roshni Singh , Bhaskaran Muralidharan

The interplay of time-reversal and $n$-fold rotation symmetries ($n=2,4,6$) is known to bring a new class of topological crystalline insulators (TCIs) having $n$ surface Dirac cones due to surface rotation anomaly. We show that the…

Superconductivity · Physics 2020-11-25 Shingo Kobayashi , Akira Furusaki

We analyze the prospects for stabilizing Majorana zero modes in semiconductor nanowires that are proximity-coupled to higher-temperature superconductors. We begin with the case of iron pnictides which, though they are s-wave…

Strongly Correlated Electrons · Physics 2012-12-18 Younghyun Kim , Jennifer Cano , Chetan Nayak