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We show that the $\nu=8$ integer quantum Hall state can support Majorana zero modes at domain walls between its two different stable chiral edge phases without superconductivity. This is due to the existence of an edge phase that does not…

Strongly Correlated Electrons · Physics 2015-12-08 Jennifer Cano , Meng Cheng , Maissam Barkeshli , David J. Clarke , Chetan Nayak

Majorana fermions have recently garnered a great attention outside the field of particle physics, in condensed matter physics. In contrast to their particle physics counterparts, Majorana fermions are zero energy, chargeless, spinless,…

Superconductivity · Physics 2019-09-25 Rémy Pawlak , Silas Hoffman , Jelena Klinovaja , Daniel Loss , Ernst Meyer

We investigate the topological properties of spin polarized fermionic polar molecules loaded in a multi-layer structure with the electric dipole moment polarized to the normal direction. When polar molecules are paired by attractive…

Quantum Gases · Physics 2019-05-01 Ching-Yu Huang , Yen-Ting Lin , Hao Lee , Daw-Wei Wang

We discuss the thermoelectrical properties of nanowires hosting Majorana edge states. For a Majorana nanowire directly coupled to two normal reservoirs the thermopower always vanishes regardeless of the value of the Majorana hybridization.…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Rosa Lopez , Minchul Lee , Llorens Serra , Jong Soo Lim

When two identical fermions exchange their positions, their wave function gains phase factor $-1$. We show that this distance-independent effect can induce nonlocal entanglement in one-dimensional (1D) electron systems having Majorana…

Mesoscale and Nanoscale Physics · Physics 2018-08-28 YeJe Park , Jeongmin Shim , S. -S. B. Lee , H. -S. Sim

We consider a helical spin liquid system which shows majorana fermion modes at the edge. The interaction between the quasiparticles in this system induces phase transition, Majorana-Ising transition. We comply the density matrix…

Strongly Correlated Electrons · Physics 2017-08-02 Dayasindhu Dey , Sudip Kumar Saha , P. Singha Deo , Manoranjan Kumar , Sujit Sarkar

We investigate the Majorana fermions in a semiconductor nanostructure with two wires connected through a ring. The nanostructure is mirror symmetric and in the proximity of a superconductor. The Rashba spin-orbit coupling and a magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-08-01 B. Y. Sun , M. W. Wu

Chiral Majorana fermion is a massless self-conjugate fermion which can arise as the edge state of certain two-dimensonal topological matters. It has been theoretically predicted and experimentally observed in a hybrid device of quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Biao Lian , Xiao-Qi Sun , Abolhassan Vaezi , Xiao-Liang Qi , Shou-Cheng Zhang

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 consider a lattice model of itinerant electrons coupled to an array of localized classical Heisenberg spins. The nature of the ground state ordered magnetic phases that result from the indirect spin-spin coupling mediated by the…

Strongly Correlated Electrons · Physics 2017-05-25 Wenjian Hu , Richard T. Scalettar , Rajiv R. P. Singh

We propose an experiment that would establish the entanglement of Majorana zero modes in semiconductor nanowires by testing the Bell and Clauser-Horne-Shimony-Holt inequalities. Our proposal is viable with realistic system parameters,…

Mesoscale and Nanoscale Physics · Physics 2024-02-13 David E. Drummond , Alexey A. Kovalev , Chang-Yu Hou , Kirill Shtengel , Leonid P. Pryadko

We address the issue whether it is possible to generate Majorana bound states at the magnetic-superconducting interface in two-dimensional topological insulators with hidden Dirac points in the spectrum. In this case, the Dirac point of…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Ferdinand Schulz , Kirill Plekhanov , Daniel Loss , Jelena Klinovaja

The recent experimental realization of 1D equal Rashba-Dresselhaus spin-orbit coupling (ERD-SOC) for cold atoms provide a disorder-free platform for the implementation and observation of Majorana fermions (MFs), similar to the well studied…

Quantum Gases · Physics 2016-06-22 Lei Jiang , Chunlei Qu , Chuanwei Zhang

We review the properties of Majorana fermions in particle physics and point out that Majorana modes in solid state systems are significantly different. The key reason is the concept of anti-particle in solid state systems is different from…

Mesoscale and Nanoscale Physics · Physics 2017-05-09 Qi Zhang , Biao Wu

There exists a variety of proposals to transform a conventional s-wave superconductor into a topological superconductor, supporting Majorana fermion mid-gap states. A necessary ingredient of these proposals is strong spin-orbit coupling.…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 T. -P. Choy , J. M. Edge , A. R. Akhmerov , C. W. J. Beenakker

Unequivocal signatures of Majorana zero energy modes in condensed matter systems and manipulation of the associated electron parity states are highly sought after for fundamental reasons as well as for the prospect of topological quantum…

Superconductivity · Physics 2018-02-20 Rosa Rodriguez-Mota , Smitha Vishveshwara , T. Pereg-Barnea

Recently, much attention has been paid to search for Majorana fermions in solid-state systems. Among various proposals there is one based on radio-frequency superconducting quantum interference devices (rf-SQUIDs), in which the appearance…

Time reversal symmetric topological superconductors in three spatial dimensions carry gapless surface Majorana fermions. They are robust against any time reversal symmetric single-body perturbation weaker than the bulk energy gap. We mimic…

Strongly Correlated Electrons · Physics 2016-10-26 Sharmistha Sahoo , Zhao Zhang , Jeffrey C. Y. Teo

Recently, the two-site Kitaev model hosting Majorana edge states was experimentally realized based on double quantum dots. In this context, we construct two-band effective models describing Majorana edge states of a finite-length Kitaev…

Superconductivity · Physics 2024-05-24 Motohiko Ezawa

We propose two experiments to probe the Majorana fermion edge states that occur at a junction between a superconductor and a magnet deposited on the surface of a topological insulator. Combining two Majorana fermions into a single Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Liang Fu , C. L. Kane