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We consider Majorana lattices with two-site interactions consisting of a general function of the fermion bilinear. The models are exactly solvable in the limit of a large number of on-site fermions. The four-site chain exhibits a quantum…

High Energy Physics - Theory · Physics 2025-10-21 Pablo Basteiro , Giuseppe Di Giulio , Johanna Erdmenger , Zhuo-Yu Xian

We analyze the formation of Majorana zero-modes at the edge of a two-dimensional topological superconductor. In particular, we study a time-reversal-invariant triplet phase that is likely to exist in doped Bi$_2$Se$_3$. Upon the…

Superconductivity · Physics 2017-08-23 Vo Tien Phong , Niels R. Walet , Francisco Guinea

We present a theory of electronic properties of gated triangular graphene quantum dots with zigzag edges as a function of size and carrier density. We focus on electronic correlations, spin and geometrical effects using a combination of…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 P. Potasz , A. D. Guclu , A. Wojs , P. Hawrylak

Contemporary quantum devices are reaching new limits in size and complexity, allowing for the experimental exploration of emergent quantum modes. However, this increased complexity introduces significant challenges in device tuning and…

The realization of Majorana zero modes is in the centre of intense theoretical and experimental investigations. Unfortunately, their exchange that can reveal their exotic statistics needs manipulations that are still beyond our experimental…

Quantum Physics · Physics 2016-10-26 Jin-Shi Xu , Kai Sun , Yong-Jian Han , Chuan-Feng Li , Jiannis K. Pachos , Guang-Can Guo

The search for conditions supporting degenerate steady states in nonequilibrium topological superconductors is important for advancing dissipative quantum engineering, a field that has attracted significant research attention over the past…

Mesoscale and Nanoscale Physics · Physics 2026-05-20 M. S. Shustin , S. V. Aksenov , I. S. Burmistrov

By considering Majorana zero modes to laterally couple to the quantum dot, we evaluate the thermoelectric effect in one single-dot system. The calculation results show that if one Majorana zero mode couples to the dot, the thermoelectric…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Xiao-Qi Wang , Shu-Feng Zhang , Hu Han , Guang-Yu Yi , Wei-Jiang Gong

The inclusion of long-range couplings in the Kitaev chain is shown to modify the universal scaling of topological states close to the critical point. By means of the scattering approach, we prove that the Majorana states \textit{soften},…

Mesoscale and Nanoscale Physics · Physics 2023-07-04 Alessandro Tarantola , Nicolò Defenu

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…

Mesoscale and Nanoscale Physics · Physics 2018-01-03 Max McGinley , Johannes Knolle , Andreas Nunnenkamp

We investigate quantum transport in a hybrid system composed of two quantum dots (QDs) coupled through a pair of spatially separated Majorana zero modes (MZMs) with negligible coupling energy. We focus on nonlocal correlations mediated by…

Mesoscale and Nanoscale Physics · Physics 2026-03-05 Sirui Yu , Hong Mao , Jinshuang Jin , Chui-Ping Yang

We investigate zero-bias conductance peaks that arise from coalescing subgap Andreev states, consistent with emerging Majorana zero modes, in hybrid semiconductor-superconductor wires defined in a two-dimensional InAs/Al heterostructure…

In a recent breakthrough experiment [Nature (London) 614, 445 (2023)], signatures of Majorana zero modes have been observed in tunnel spectroscopy for a minimal Kitaev chain constructed from coupled quantum dots. However, as Ising anyons,…

Mesoscale and Nanoscale Physics · Physics 2023-08-31 Chun-Xiao Liu , Haining Pan , F. Setiawan , Michael Wimmer , Jay D. Sau

We show that a one dimensional ultra-cold Fermi gas with Rashba-like spin orbit coupling, a Zeeman field and intrinsic attractive interactions exhibits a novel topological superfluid state, which forms in spite of total number conservation…

Quantum Gases · Physics 2015-04-09 Jonathan Ruhman , Ehud Altman

Magnetic atoms on superconductors induce localized Yu-Shiba-Rusinov (YSR) bound states. The proposal that topological superconductivity and Majorana modes can be engineered in arrays of hybridizing YSR states has led to their intense…

We analyse an exactly solvable spin-$1/2$ chain which is a generalised version of Kitaev's honeycomb model. We show that every state of the system has a $2^{N/4}$ fold degeneracy, where $N$ is the number of sites. We present analytic…

Strongly Correlated Electrons · Physics 2015-05-19 Abhinav Saket , S. R. Hassan , R. Shankar

Majorana zero modes (MZMs) realize a representation of non-abelian braid groups that enable topological quantum computation, wherein the storage and manipulation of information occur in decoherence-free degrees of freedom. This paper is…

Strongly Correlated Electrons · Physics 2021-11-17 Sihao Huang

We perform a detailed study of the effect of finite bias and magnetic field on the tunneling-induced decay of the state of a quantum dot by applying a recently discovered general duality [PRB 93, 81411 (2016)]. This duality provides deep…

Mesoscale and Nanoscale Physics · Physics 2017-01-19 Joren Vanherck , Jens Schulenborg , Roman B. Saptsov , Janine Splettstoesser , Maarten R. Wegewijs

We explore the signatures of Majorana fermions in a nanowire based topological superconductor-quantum dot-topological superconductor hybrid device by charge transport measurements. The device is made from an epitaxially grown InSb nanowire…

Superconductivity · Physics 2014-12-02 M. T. Deng , C. L. Yu , G. Y. Huang , M. Larsson , P. Caroff , H. Q. Xu

Transport through two quantum dots laterally embedded in Aharonov-Bohm interferometry with infinite intradot and arbitrary interdot Coulomb repulsion is analyzed in the weak coupling and Coulomb blockade regime. By employing the modified…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jing Ma , Bing Dong , X. L. Lei

Negative differential resistance - a decrease in current with increasing bias voltage - is a counter-intuitive effect that is observed in various molecular junctions. Here, we present a novel mechanism that may be responsible for such an…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Yonatan Dubi