Majorana bound states in a hybrid Kitaev ladder with long-range pairing

• URL: http://arxiv.org/abs/2606.19963v1
• Date: Thu, 18 Jun 2026 09:05:30 GMT
• Title: Majorana bound states in a hybrid Kitaev ladder with long-range pairing
• Abstract summary: We investigate an inter-leg coupled hybrid Kitaev ladder composed of two parallel superconducting chains with distinct pairing interactions.<n>The mutual influence of long-range pairing exponent, chemical potential, and inter-leg coupling strength gives rise to a rich topological phase diagram.<n>Our results highlight the potential of long-range hybrid systems for engineering tunable topological states relevant for quantum information applications.
• Score: 0.9857968274865204
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate an inter-leg coupled hybrid Kitaev ladder composed of two parallel superconducting chains with distinct pairing interactions. The upper chain of the ladder hosts conventional $p$-wave pairing, while the lower chain exhibits long-range pairing that decays algebraically with distance. We demonstrate that the mutual influence of long-range pairing exponent, chemical potential, and inter-leg coupling strength gives rise to a rich topological phase diagram characterized by multiple Majorana zero modes and massive Dirac modes. In particular, we show that the inter-leg coupling renormalizes the effective energy scales, leading to a systematic shift of the topological phase boundaries and enabling controlled tuning of the Majorana modes. Furthermore, we identify a transition from a two Majorana zero mode phase to a phase encapsulating four Majorana zero modes, as the long-range pairing exponent is varied. This transition is accompanied by a crossover regime in which Majorana zero modes coexist with massive Dirac modes, reflecting hybridization between edge and bulk excitations. This ladder thus provides a minimal and attractive platform for realizing the impact of a long-range pairing on topological phases. Our results highlight the potential of long-range hybrid systems for engineering tunable topological states relevant for quantum information applications.

Related papers

• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers [45.88028371034407]
  Bond-directional spin-spin interactions in a Fermi-Hubbard bilayer can be realized with ultracold fermions in Raman optical lattices.<n>We analyze the Fermi-liquid and Mott-insulating phases, highlighting a correspondence between Dirac and Majorana quasi-particles.<n>Our results establish that cold-atom quantum simulators based on Raman optical lattices can be a playground for extended Kitaev models.
  arXiv  Detail & Related papers  (2025-04-22T10:07:56Z)
• Quantum phases of hardcore bosons with repulsive dipolar density-density interactions on two-dimensional lattices [0.0]
  bosons dynamics is described by the extended-Bose-Hubbard Hamiltonian on a two-dimensional lattice. We consider three different lattice geometries: square, honeycomb, and triangular. Our results are of immediate relevance for experimental realisations of self-organised crystalline ordering patterns in analogue quantum simulators.
  arXiv  Detail & Related papers  (2023-11-17T16:35:02Z)
• Non-Hermitian Aubry-André-Harper model with short- and long-range p-wave pairing [14.37149160708975]
  We investigate a non-Hermitian Aubry-Andr'e-Harper model with short-range, as well as long-range p-wave pairing. We observe the emergence of Majorana zero modes in the case of short-range pairing, whereas massive Dirac modes emerge in the case of long-range pairing.
  arXiv  Detail & Related papers  (2023-11-08T11:14:10Z)
• Quantum phases of the biased two-chain-coupled Bose-Hubbard Ladder [0.6086160084025234]
  We investigate the quantum phases of bosons in a two-chain-coupled ladder. We find signatures of both insulating-to-superfluid and super-to-insulating quantum phase transitions. We show that for infinite interaction bias, the model is amenable to some analytical treatments.
  arXiv  Detail & Related papers  (2023-08-29T05:52:02Z)
• Softening of Majorana edge states by long-range couplings [77.34726150561087]
  Long-range couplings in the Kitaev chain is shown to modify the universal scaling of topological states close to the critical point. We prove that the Majorana states become increasingly delocalised at a universal rate which is only determined by the interaction range.
  arXiv  Detail & Related papers  (2023-01-29T19:00:08Z)
• Phase diagram of Rydberg-dressed atoms on two-leg triangular ladders [50.591267188664666]
  We investigate the phase diagram of hard-core bosons in a triangular ladder with next-to-nearest-neighbor interaction along each leg. For weak interactions, Abelian bosonization predicts a spin density wave and a fully gapless Luttinger liquid phase. The competition with the zigzag interaction generates a charge density wave, a 'polarized holonic' phase, and a crystalline phase at the filling 2/5.
  arXiv  Detail & Related papers  (2022-07-01T12:49:04Z)
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model [77.34726150561087]
  We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model. We simulate the light-induced transition between two competing phases.
  arXiv  Detail & Related papers  (2022-05-13T13:13:31Z)
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
  Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
  arXiv  Detail & Related papers  (2022-03-31T13:32:12Z)
• Topological phases of an interacting Majorana Benalcazar-Bernevig-Hughes model [0.0]
  We study the effects of Coulomb repulsive interactions on a Majorana Benalcazar-Bernevig-Hughes (MBBH) model. The MBBH model belongs to the degenerate class of second-order topological superconductors.
  arXiv  Detail & Related papers  (2022-02-23T11:56:05Z)
• Probing Majorana Modes via Local Spin Dynamics [0.0]
  We study Majorana modes in a quantum spin chain with bond-dependent exchange interactions. Here, we consider two-time correlations for the Kitaev-Heisenberg (KH) Hamiltonian close to the so-called Kitaev critical point. We derive perturbative interactions that map the KH spin chain onto the topological regime of Kitaev's fermionic model.
  arXiv  Detail & Related papers  (2021-12-30T12:40:53Z)
• Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice [52.77024349608834]
  We investigate the phase diagram of hard-core bosons in two-leg ladders in the presence of soft-shoulder potentials. We show how the competition between local and non-local terms gives rise to a phase diagram with liquid phases with dominant cluster, spin, and density-wave quasi-long-range ordering.
  arXiv  Detail & Related papers  (2021-12-20T09:46:08Z)
• Entanglement Phases in large-N hybrid Brownian circuits with long-range couplings [0.0]
  We develop solvable models of large-$N$ hybrid quantum circuits on qubits and fermions with long-range power-law interactions. We find that long-range free-fermionic circuits exhibit a distinct phase diagram with two different fractal entangled phases.
  arXiv  Detail & Related papers  (2021-08-31T18:00:04Z)
• Qubit-photon bound states in topological waveguides with long-range hoppings [62.997667081978825]
  Quantum emitters interacting with photonic band-gap materials lead to the appearance of qubit-photon bound states. We study the features of the qubit-photon bound states when the emitters couple to the bulk modes in the different phases. We consider the coupling of emitters to the edge modes appearing in the different topological phases.
  arXiv  Detail & Related papers  (2021-05-26T10:57:21Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.