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We study a periodically driven one dimensional Kitaev model in the presence of disorder. In the clean limit our model exhibits four topological phases corresponding to the existence or non-existence of edge modes at zero and pi quasienergy.…

Quasi-particles described by Green's functions of equilibrium systems exhibit non-Hermitian topological phenomena because of their finite lifetime. This non-Hermitian perspective on equilibrium systems provides new insights into correlated…

Strongly Correlated Electrons · Physics 2020-07-28 Tsuneya Yoshida , Robert Peters , Norio Kawakami , Yasuhiro Hatsugai

Topological superconductors are foreseen as good candidates for the search of Majorana zero modes, where they appear as edge states and can be used for quantum computation. In this context, it becomes necessary to study the robustness and…

Mesoscale and Nanoscale Physics · Physics 2025-02-14 Dunkan Martínez , Álvaro Díaz-Fernández , Pedro A Orellana , Francisco Domínguez-Adame

The dynamical balance of the pairing term plays a crucial role in the emergence of topological superconductivity in the p-wave spinless Kitaev chain, particularly in the non-Hermitian regime. In this work, we systematically investigate the…

Superconductivity · Physics 2025-09-29 Y. B. Shi , Y. X. Zhang , S. W. Liu , Z. Song

The discovery of topological phases in condensed matter systems has changed the modern conception of phases of matter. The global nature of topological ordering makes these phases robust and hence promising for applications. However, the…

Few-site implementations of the Kitaev chain offer a minimal platform to study the emergence and stability of Majorana bound states. Here, we realize two- and three-site chains in semiconducting quantum dots coupled via superconductors, and…

In this article we provide a general mechanism for generating interaction-enabled fermionic topological phases. We illustrate the mechanism with crystalline symmetry-protected topological phases in 1D and 2D. These non-trivial phases…

Strongly Correlated Electrons · Physics 2016-03-23 Matthew F. Lapa , Jeffrey C. Y. Teo , Taylor L. Hughes

The interplay of superconductivity with a non-trivial spin texture holds promises for the engineering of non-abelian Majorana quasi-particles. A wide class of systems expected to exhibit exotic correlations are based on nanoscale conductors…

We study one-dimensional topological superconductivity in the presence of time-reversal symmetry. This phase is characterized by having a bulk gap, while supporting a Kramers' pair of zero-energy Majorana bound states at each of its ends.…

Mesoscale and Nanoscale Physics · Physics 2016-09-15 Arbel Haim , Konrad Wölms , Erez Berg , Yuval Oreg , Karsten Flensberg

We use Nielsen's geometric approach to quantify the circuit complexity in a one-dimensional Kitaev chain across a topological phase transition. We find that the circuit complexities of both the ground states and non-equilibrium steady…

Topological superconductors, such as noncentrosymmetric superconductors with strong spin-orbit coupling, exhibit protected zero-energy surface states, which possess an intricate helical spin structure. We show that this nontrival spin…

Superconductivity · Physics 2013-10-10 Johannes S. Hofmann , Raquel Queiroz , Andreas P. Schnyder

We study theoretically proximity-induced superconductivity and ferromagnetism on the surface of a topological insulator. In particular, we investigate how the Andreev-bound states are influenced by the interplay between these phenomena,…

Superconductivity · Physics 2015-05-18 Jacob Linder , Yukio Tanaka , Takehito Yokoyama , Asle Sudbø , Naoto Nagaosa

Noncentrosymmetric superconductors with line nodes are expected to possess topologically protected flat zero-energy bands of surface states, which can be described as Majorana modes. We here investigate their fate if residual interactions…

Strongly Correlated Electrons · Physics 2020-02-05 Janna E. Rückert , Gergő Roósz , Carsten Timm

Recent thermal-conductivity measurements evidence a magnetic-field-induced non-Abelian spin liquid phase in the Kitaev material $\alpha$-$\mathrm{RuCl}_{3}$. Although the platform is a good Mott insulator, we propose experiments that…

Strongly Correlated Electrons · Physics 2020-07-22 David Aasen , Roger S. K. Mong , Benjamin M. Hunt , David Mandrus , Jason Alicea

We investigate gradual development of the quasiparticle states in two quantum dots attached to opposite sides of the topological superconducting nanowire, hosting the boundary modes. Specifically, we explore the non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 R. Taranko , K. Wrześniewski , I. Weymann , T. Domański

Kitaev chain model with nearest neighbor interaction U is solved exactly at the symmetry point $\Delta=t$ and chemical potential $\mu=0$ in open boundary condition. By applying two Jordan-Wigner transformations and a spin-rotation, such a…

Strongly Correlated Electrons · Physics 2018-03-15 Jian-Jian Miao , Hui-Ke Jin , Fu-Chun Zhang , Yi Zhou

Bi-layer Kagome compounds provide an exciting playground where the interplay of topology and strong correlations can give rise to exotic phases of matter. Motivated by recent first principles calculation on such systems (Phys. Rev. Lett…

Strongly Correlated Electrons · Physics 2023-11-29 Aabhaas Vineet Mallik , Adhip Agarwala , Tanusri Saha-Dasgupta

We study the Kitaev-Heisenberg-$\Gamma$-$\Gamma'$ model that describes the magnetism in strong spin-orbit coupled honeycomb lattice Mott insulators. In strong $[111]$ magnetic fields that bring the system into the fully polarized…

Strongly Correlated Electrons · Physics 2018-08-15 P. A. McClarty , X. -Y. Dong , M. Gohlke , J. G. Rau , F. Pollmann , R. Moessner , K. Penc

We study charge transport of a topological superconductor connected to different electromagnetic environments using a low-energy description where only the Majorana bound states in the superconductor are included. Extending earlier findings…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 Konrad Wölms , Karsten Flensberg

We consider a general problem of a Josephson contact between two multiband superconductors with coexisting superconducting and magnetic phases. As a particular example, we use the quasiclassical theory of superconductivity to study the…

Strongly Correlated Electrons · Physics 2020-01-01 Ammar A. Kirmani , Maxim Dzero , Alex Levchenko