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Robust states emerging at the boundaries of a system are an important hallmark of topological matter. Here, using the Su-Schrieffer-Heeger model and the Kitaev chain as examples, we study the impact of a type of experimentally realizable…

Mesoscale and Nanoscale Physics · Physics 2024-12-06 Yi Peng , Chao Yang , Haiping Hu , Yucheng Wang

This study explores the possibility and presents a methodology to synthesize a classical mechanical analogue to the quantum mechanical 1D Kitaev model. While being fundamentally different, we will identify significant conceptual…

Mesoscale and Nanoscale Physics · Physics 2023-05-18 Ting-Wei Liu , Fabio Semperlotti

The redistribution of energy levels between energy bands is studied for a family of simple effective Hamiltonians depending on one control parameter and possessing axial symmetry and energy-reflection symmetry. Further study is made on the…

Quantum Physics · Physics 2017-07-14 Guillaume Dhont , Toshihiro Iwai , Boris Zhilinskii

Recently topological states of matter have witnessed a new physical phenomenon where both edge modes and gapless bulk coexist at topological quantum criticality. The presence and absence of edge modes on a critical line can lead to an…

Strongly Correlated Electrons · Physics 2023-05-12 Ranjith R Kumar , Nilanjan Roy , Y R Kartik , S Rahul , Sujit Sarkar

A chain of quantum dots (QDs) in semiconductor-superconductor hybrid systems can form an artificial Kitaev chain hosting Majorana bound states (MBSs). These zero-energy states are expected to be localised on the edges of the chain, at the…

Using dynamical mean-field theory and exact diagonalization we study the phase diagram of the repulsive Haldane-Hubbard model, varying the interaction strength and the sublattice potential difference. In addition to the quantum Hall phase…

Quantum Gases · Physics 2016-06-08 Tuomas I. Vanhala , Topi Siro , Long Liang , Matthias Troyer , Ari Harju , Päivi Törmä

In this work we investigate non-Hermitian topological phase transitions using real-space edge states as a paradigmatic tool. We focus on the simplest non-Hermitian variant of the Su-Schrieffer-Hegger model, including a parameter that…

Strongly Correlated Electrons · Physics 2024-03-15 Rui Aquino , Nei Lopes , Daniel G. Barci

The key to unraveling intriguing phenomena observed in various Kitaev materials lies in understanding the interplay of Kitaev ($K$) interaction and a symmetric off-diagonal $\Gamma$ interaction. To provide insight into the challenging…

Strongly Correlated Electrons · Physics 2021-07-15 Qiang Luo , Jize Zhao , Xiaoqun Wang , Hae-Young Kee

We consider a two-dimensional generalization of the Su-Schrieffer-Heeger model which is known to possess a non-trivial topological band structure. For this model, which is characterized by a single parameter, the hopping ratio $0 \leq r\leq…

Superconductivity · Physics 2023-03-29 Ying Wang , Gautam Rai , Stephan Haas , Anuradha Jagannathan

Non-Hermitian systems with non-reciprocal hopping may display the non-Hermitian skin effect, where states under open boundary conditions localize exponentially at one edge of the system. This localization has been linked to spectral winding…

Disordered Systems and Neural Networks · Physics 2025-12-01 Clément Fortin , Kai Wang , T. Pereg-Barnea

We experimentally demonstrate that Majorana-like bound states (MLBSs) can occur in quasi-one-dimensional metamaterials, analogous to Majorana zero modes (MZM) in the Kitaev chain. In a mechanical spinner ladder system, we observe a…

Materials Science · Physics 2022-02-01 Kai Qian , David J. Apigo , Karmela Padavić , Keun Hyuk Ahn , Smitha Vishveshwara , Camelia Prodan

A superconducting wire described by a p-wave pairing and a Kitaev Hamiltonian exhibits Majorana fermions at its edges and is topologically protected by symmetry. We consider two Kitaev wires (chains) coupled by a Coulomb type interaction…

Strongly Correlated Electrons · Physics 2016-05-04 Loïc Herviou , Christophe Mora , Karyn Le Hur

We investigate string correlations in an infinite-size spin-1/2 bond-alternating Heisenberg chain. By employing the infinite matrix product state representation with the infinite time evolving block decimation method, a finite string…

Statistical Mechanics · Physics 2013-05-30 Hai Tao Wang , Bo Li , Sam Young Cho

We study the bulk and edge properties of a driven Kitaev chain, where the driving is performed as instantaneous quenches of the on-site energies. We identify three periodic driving regimes: low period, which is equivalent to a static model,…

Superconductivity · Physics 2019-01-08 Tilen Cadez , Rubem Mondaini , Pedro D. Sacramento

Haldane model is a celebrated tight binding toy model in a 2D honeycomb lattice that exhibits quantized Hall conductance in the absence of an external magnetic field. In our work, we deform the bands of the Haldane model smoothly by varying…

Mesoscale and Nanoscale Physics · Physics 2023-04-24 Srijata Lahiri , Saurabh Basu

We study the half-filled Haldane model with Anderson and binary disorder and determine its phase diagram, as a function of the Haldane flux and staggered sub-lattice potential, for increasing disorder strength. We establish that disorder…

Strongly Correlated Electrons · Physics 2018-07-31 Miguel Gonçalves , Pedro Ribeiro , Eduardo V. Castro

In this general article, we map the one-dimensional transverse field quantum Ising model of ferromagnetism to Kitaev's one-dimensional p-wave superconductor, which has its application in fault-tolerant topological quantum computing. Mapping…

Mesoscale and Nanoscale Physics · Physics 2021-12-07 Kartik Chhajed

We investigate the topological phases that appear in an orbital version of the Benalcazar-Bernevig-Hughes (BBH) model in the presence of conventional spin-singlet $s$-wave superconductivity and with the possibility of tuning an in-plane…

Superconductivity · Physics 2024-08-30 Rodrigo Arouca , Tanay Nag , Annica M. Black-Schaffer

We re-examine the band structure of the stripe charge ordered state of $\alpha$-(BEDT-TTF)$_2$I$_3$ under pressure by using an extended Hubbard model within the Hartree mean-field theory. By increasing pressure, we find a topological…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 A. Kobayashi , Y. Suzumura , F. Piéchon , G. Montambaux

A number of topological phases are found to emerge in the ferromagnetic Kitaev-Heisenberg model on CaVO lattice in the presence of Dzyaloshinskii-Moriya interaction. Heisenberg and Kitaev terms have been considered on nearest and…

Strongly Correlated Electrons · Physics 2021-05-05 Moumita Deb , Asim Kumar Ghosh
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