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Showing 1 to 13 of 13 for “"Majorana Fermion"”.

  1. MAJORANA FERMION IN TOPOLOGICAL SUPERCONDUCTOR AND MOTT‐SUPERFLUID TRANSITION IN CIRCUIT‐QED SYSTEM

    … contains two parts. In Part I, we study the Majorana fermion and its transport in the topological superconductors. In Chapter 2, we investigate the edge states and the vortex core states in the spin-singlet superconductor with Rashba and Dresselhaus (110) spin-orbit couplings. In Chapter 3, …

    nus Repository record for MAJORANA FERMION IN TOPOLOGICAL SUPERCONDUCTOR AND MOTT‐SUPERFLUID TRANSITION IN CIRCUIT‐QED SYSTEM (opens in a new tab)

  2. Interaction effects in topological insulators

    … and a strongly interacting spin liquid in its Majorana fermion representation. We use the Hartree-Fock mean-field approach, slave-rotor approach and slave-boson approach to study correlation effects related to topological insulators. With the spontaneous symmetry breaking mechanism, we can have …

    texas Repository record for Interaction effects in topological insulators (opens in a new tab)

  3. Magic and Majorana Fermions in Quantum Computing, Topological Matter, and Dynamics

    … explores the resource of “magic”, and the use of Majorana fermions, in quantum many-body physics and quantum computing. Along with other quantum resources, magic helps determine the advantage that a quantum circuit can display over classical computation. For the components of the quantum computer …

    cambridge Repository record for Magic and Majorana Fermions in Quantum Computing, Topological Matter, and Dynamics (opens in a new tab)

  4. The Many Phases of the Surface Code: Coherent Errors and Many-Body Localisation

    … This method is based on a mapping to a free fermion model which allows calculating the expectation values using fermion linear optics. Using this method, we show that the connectivity of the graph can shift the error correcting performance between resilience against *X*- and *Z*-rotations. …

    cambridge Repository record for The Many Phases of the Surface Code: Coherent Errors and Many-Body Localisation (opens in a new tab)

  5. Beyond Color: Lattice Gauge Theory for Strongly-Coupled Physics

    … an 𝑆𝑈(3) gauge theory coupled to six flavors of fermions (the quarks). Despite this, it remains difficult to compute QCD observables because QCD is strongly-coupled, and typical perturbative methods used in QFT only work in specific regimes of validity for QCD. The most successful ab initio …

    mit Repository record for Beyond Color: Lattice Gauge Theory for Strongly-Coupled Physics (opens in a new tab)

  6. Studies on the effect of noise in boundary quantum phase transitions

    … achievements, we study the stabilization of a Majorana zero mode with the quantum frustration in a dissipative resonant level model. The Majorana zero mode is known to be unstable against the coupling to its partner at the other end of the Majorana hosted nanowire.</p><p>We prove that the …

    duke Repository record for Studies on the effect of noise in boundary quantum phase transitions (opens in a new tab)

  7. Superconducting Electron Transport in Graphene-Based Josephson Junctions

    … Our results may pave the way to realizing Majorana fermion or parafermion states predicted to be formed in certain hybrid QH-SC devices. </p><p> To conclude, we have explored supercurrent transport in multiple different regimes in the graphene Josephson junctions.</p>

    duke Repository record for Superconducting Electron Transport in Graphene-Based Josephson Junctions (opens in a new tab)

  8. Hollow condensates, topological ladders and quasiperiodic chains

    … chain, which is known to support localized Majorana fermion end modes. Bound states of the SSH ladder having the same spatial wavefunction profiles as these Majorana end modes are Dirac fermions or bosons. The SSH ladder is consequently more suited for experimental observation than the …

    uiuc Repository record for Hollow condensates, topological ladders and quasiperiodic chains (opens in a new tab)

  9. Investigation of current-phase relation in topological insulator Josephson junction

    … junction (TIJJ). In a magnetic field, localized Majorana bound states (MBS) are predicted to exist at the core of Josephson vortices. One of the key characteristics of such MBS in TIJJ system is that they possess a 4π periodic CPR, instead of conventional 2π sinusoidal CPR. Our measurements of …

    uiuc Repository record for Investigation of current-phase relation in topological insulator Josephson junction (opens in a new tab)

  10. Investigating Topological Quantum Matter: Machine Learning Topological Phases, Topological Quantum Codes, Interplay of Disorder and Topology via Transport Phenomena and Phase Transitions

    … plaquette values and energy gaps match the Majorana solution. Quantum-state tomography on a 2×2 cluster recovers the ground state with 97% fidelity and confirms the vortex-braiding protocol. Thus RBMs emerge as precise, symmetry-compatible variational states - and practical anyon simulators …

    cambridge Repository record for Investigating Topological Quantum Matter: Machine Learning Topological Phases, Topological Quantum Codes, Interplay of Disorder and Topology via Transport Phenomena and Phase Transitions (opens in a new tab)

  11. The superconducting proximity effect in Bi2Se3 thin-films

    … exotic excitations that obey rules distinct from fermions and bosons. They are of basic interest, illustrating Nature’s limitless creativity, and practical in-terest in that they may prove ideal platforms for the construction of error-proof quantum com-putational devices. In this work, the …

    uiuc Repository record for The superconducting proximity effect in Bi2Se3 thin-films (opens in a new tab)

  12. Precise magnetic control of the supercurrent and fluxoids in nanodevices: Memory effects and diode effects

    … to s-wave superconductors, are predicted to host Majorana Zero Modes (MZMs), which can be used for topologically protected quantum computing, as introduced by Fu and Kane in 2008. These predictions have since attracted significant attention. Various platforms of single Josephson junctions on TIs …

    uiuc Repository record for Precise magnetic control of the supercurrent and fluxoids in nanodevices: Memory effects and diode effects (opens in a new tab)