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Dynamical structure factor (S(k,$\omega$)) is calculated for the one-dimensional (1D) transverse field Ising model, and its recent extension to include a three spin term, with quenched binary disorder. We study the low energy modes for…

Disordered Systems and Neural Networks · Physics 2018-08-17 Jian Wang , Sudip Chakravarty

Electron transport through the T-shaped quantum-dot (QD) structure is theoretically investigated, by considering a Majorana zero mode coupled to the terminal QD. It is found that in the double-QD case, the presence of the Majorana zero mode…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Wei-Jiang Gong , Shu-Feng Zhang , Zhi-Chao Li , Guangyu Yi , Yi-Song Zheng

A wide variety of experimental platforms, ranging from semiconductor quantum-dot arrays to moir\'e materials, have recently emerged as powerful quantum simulators for studying the Hubbard model and its variants. Motivated by these…

Strongly Correlated Electrons · Physics 2024-10-03 Johannes Dieplinger , Rhine Samajdar , R. N. Bhatt

Recent years have brought an explosion of activities in the research of topological aspects of condensed-matter systems. Topologically non-trivial phases of matter are typically accompanied by protected surface states or exotic degenerate…

We investigate the linear thermoelectric response of an interacting quantum dot side-coupled by one of two Majorana fermions (MFs) formed at the ends of a topological superconducting wire. We employ the numerical renormalization group…

Mesoscale and Nanoscale Physics · Physics 2014-08-22 Heunghwan Khim , Rosa Lopez , Jong Soo Lim , Minchul Lee

We introduce a new type of one-dimensional Kitaev chain with staggered $p$-wave superconducting pairing. We find three physical regimes in this model by tuning the $p$-wave pairing and the chemical potential of the system. In the…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Xiao-Jue Zhang , Rong Lü , Qi-Bo Zeng

It has been proposed that band-inverted electron-hole bilayers support a phase transition from an insulating phase with spontaneously broken time-reversal symmetry to a quantum spin Hall insulator phase as a function of increasing electron…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Tania Paul , V. Fernández Becerra , Timo Hyart

One-dimensional topological superconductors treated at the mean-field level host zero-energy edge Majorana modes, which encode topological degeneracy of their ground states. Geometric manipulations (braiding) of multiple wires can be used…

Strongly Correlated Electrons · Physics 2024-07-19 Ivar Martin , Kartiek Agarwal

We study the robustness of topological ground state degeneracy to long-range interactions in quantum many-body systems. We focus on slowly decaying two-body interactions that scale like a power-law $1/r^\alpha$ where $\alpha$ is smaller…

Quantum Physics · Physics 2026-04-16 Etienne Granet , Michael Levin

We study double quantum dots coupled to a quasistatic cavity mode with high mode-volume compression allowing for strong light-matter coupling. Besides the cavity-mediated interaction, electrons in different double quantum dots interact with…

Mesoscale and Nanoscale Physics · Physics 2024-08-23 Valerii K. Kozin , Dmitry Miserev , Daniel Loss , Jelena Klinovaja

Strong Zero Modes (SZMs) are (approximately) conserved quantities that result in (approximate) double degeneracies in the entire spectra of certain Hamiltonians, with the Majorana zero mode of the transverse-field Ising chain being a…

Statistical Mechanics · Physics 2026-03-04 Sanjay Moudgalya , Olexei I. Motrunich

Spin chains with open boundaries, such as the transverse field Ising model, can display coherence times for edge spins that diverge with the system size as a consequence of almost conserved operators, the so-called strong zero modes. Here,…

Statistical Mechanics · Physics 2018-10-03 Loredana M. Vasiloiu , Federico Carollo , Juan P. Garrahan

We introduce a one-dimensional non-Hermitian Kitaev chain with staggered imbalance in the $p$-wave superconducting pairing. By tuning the chemical potential and the pairing imbalance, we find that the eigenenergy spectrum undergoes…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Xiao-Jue Zhang , Rong Lü , Qi-Bo Zeng

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

We solve analytically the problem of a finite length Kitaev chain coupled to a quantum dot (QD), which extends the standard Kitaev chain problem making it more closely related to the quantum dot-semiconductor-superconductor (QD-SM-SC)…

Mesoscale and Nanoscale Physics · Physics 2019-04-03 Chuanchang Zeng , Christopher Moore , Apparao M. Rao , Tudor D. Stanescu , Sumanta Tewari

Low temperature zero-bias conductance through two side-coupled quantum dots is investigated using Wilson's numerical renormalization group technique. A low-temperature phase diagram is computed. Near the particle-hole symmetric point…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 J. Bonca , R. Zitko

Semiconductor quantum dots in close proximity to superconductors may provoke localized bound states within the superconducting energy gap known as Yu-Shiba-Rusinov (YSR) state, which is a promising candidate for constructing Majorana zero…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 Jia-Ning Wang , Yong-Chen Xiong , Wang-Huai Zhou , Tan Peng , Ziyu Wang

In a hybrid system consisting of two quantum dots (QDs) coupled to a superconductor (SC), zero-bias peaks in the differential conductance spectrum have been reported as potential signatures of Majorana fermions (MFs). However, such…

Mesoscale and Nanoscale Physics · Physics 2025-06-16 Zhi-Lei Zhang , Guo-Jian Qiao , C. P. Sun

We have recently shown [Phys. Rev. B {\bf 89}, 165314 (2014)] that a non--interacting quantum dot coupled to a one--dimensional topological superconductor and to normal leads can sustain a Majorana mode even when the dot is expected to be…

Mesoscale and Nanoscale Physics · Physics 2015-04-03 David A. Ruiz-Tijerina , E. Vernek , Luis G. G. V. Dias da Silva , J. C. Egues

We study a Josephson junction in a Kitaev chain with particle-hole symmetric nearest neighbor interactions. When the phase difference across the junction is $\pi$, we show analytically that the full spectrum is fourfold degenerate up to…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Julia Boeyens , Izak Snyman