Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction
arXiv:1701.03793 · doi:10.1088/1367-2630/aa7027
Abstract
We investigate the effect of strong interactions on the spectral properties of quantum wires with strong Rashba spin-orbit interaction in a magnetic field, using a combination of Matrix Product State and bosonization techniques. Quantum wires with strong Rashba spin-orbit interaction and magnetic field exhibit a partial gap in one-half of the conducting modes. Such systems have attracted wide-spread experimental and theoretical attention due to their unusual physical properties, among which are spin-dependent transport, or a topological superconducting phase when under the proximity effect of an s-wave superconductor. As a microscopic model for the quantum wire we study an extended Hubbard model with spin-orbit interaction and Zeeman field. We obtain spin resolved spectral densities from the real-time evolution of excitations, and calculate the phase diagram. We find that interactions increase the pseudo gap at and thus also enhance the Majorana-supporting phase and stabilize the helical spin order. Furthermore, we calculate the optical conductivity and compare it with the low energy spiral Luttinger Liquid result, obtained from field theoretical calculations. With interactions, the optical conductivity is dominated by an excotic excitation of a bound soliton-antisoliton pair known as a breather state. We visualize the oscillating motion of the breather state, which could provide the route to their experimental detection in e.g. cold atom experiments.
References in corpus (82)
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- The density-matrix renormalization group in the age of matrix product states
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Helical liquids and Majorana bound states in quantum wires
- Efficient classical simulation of slightly entangled quantum computations
- New Perspectives for Rashba Spin-Orbit Coupling
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Efficient simulation of one-dimensional quantum many-body systems
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Bosonization and Strongly Correlated Systems
- One-Dimensional Fermi liquids
- Exponential Protection of Zero Modes in Majorana Islands
- The Kernel Polynomial Method
- Spin-Orbit Coupled Degenerate Fermi Gases
- Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Dynamical density-matrix renormalization-group method
- Dynamical Correlation Functions using the Density Matrix Renormalization Group
- Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
- Universal theory of nonlinear Luttinger liquids
- Spin Accumulation in Quantum Wires with Strong Rashba Spin-Orbit Coupling
- Observation of a One-Dimensional Spin-Orbit Gap in a Quantum Wire
- Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
- Spectral functions in one-dimensional quantum systems at T>0
- Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
- Spin-orbit interaction in InSb nanowires
- Majorana Fermions in Strongly Interacting Helical Liquids
- Spectral function of the one-dimensional Hubbard model away from half filling
- Chebyshev matrix product state approach for spectral functions
- Phase diagram of the one-dimensional extended Hubbard model at quarter filling
- Fractional Helical Liquids and Non-Abelian Anyons in Quantum Wires
- Nuclear magnetism and electron order in interacting one-dimensional conductors
- Weakly coupled one-dimensional Mott insulators
- Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
- Strongly interacting Majorana modes in an array of Josephson junctions
- Nuclear Magnetism and Electronic Order in 13C Nanotubes
- Spectral Functions with the Density Matrix Renormalization Group: Krylov-space Approach for Correction Vectors
- Tunneling spectra simulation of interacting Majorana wires
- Probing variations of the Rashba spin-orbit coupling at the nanometer scale
- Magnetic crystals and helical liquids in alkaline-earth fermionic gases
- Signatures of interaction-induced helical gaps in nanowire quantum point contacts
- Chebyshev expansion for Impurity Models using Matrix Product States
- Efficient DMFT impurity solver using real-time dynamics with Matrix Product States
- Spin-orbital effects in magnetized quantum wires and spin chains
- Tomonaga-Luttinger parameters for doped Mott insulators
- Lanczos algorithm with Matrix Product States for dynamical correlation functions
- Evidence for Helical Nuclear Spin Order in GaAs Quantum Wires
- Spectral functions and time evolution from the Chebyshev recursion
- Synthetic gauge fields in synthetic dimensions: Interactions and chiral edge modes
- Chiral currents in one-dimensional fractional quantum Hall states
- Competing effects of interactions and spin-orbit coupling in a quantum wire
- Luttinger liquids with boundaries: Power-laws and energy scales
- The fate of 1D spin-charge separation away from Fermi points
- Transport properties of the one-dimensional Hubbard model at finite temperature
- Rashba spin splitting in quantum wires
- Cooper-Pair Injection into Quantum Spin Hall Insulators
- Metal-insulator transition in a quantum wire driven by a modulated Rashba spin-orbit coupling
- Renormalization-group analysis of the one-dimensional extended Hubbard model with a single impurity
- Low-energy theory and RKKY interaction for interacting quantum wires with Rashba spin-orbit coupling
- Finite temperature spectral function of Mott insulators and CDW States
- Numerical evaluation of Greens functions based on the Chebyshev expansion
- Theory of spin noise in nanowires
- Modulated Rashba interaction in a quantum wire: Spin and charge dynamics
- Spectral properties of Luttinger liquids: A comparative analysis of regular, helical, and spiral Luttinger liquids
- Spin-charge coupling in quantum wires at zero magnetic field
- Dynamic response functions and helical gaps in interacting Rashba nanowires with and without magnetic fields
- Real-time dynamics in the one-dimensional Hubbard model
- Low-energy properties of fractional helical Luttinger liquids
- Shot-Noise in Fractional Wires: a Universal Fano-Factor Different than the Tunneling Charge
- Spin-orbit coupling and spectral function of interacting electrons in carbon nanotubes
- DMRG analysis of the SDW-CDW crossover region in the 1D half-filled Hubbard-Holstein model
- Spin filtering and entanglement detection due to spin-orbit interaction in carbon nanotube cross-junctions
- Boundary effects on one-particle spectra of Luttinger liquids
- Helical gaps in interacting Rashba wires at low electron densities
- Strongly Interacting Holes in Ge/Si Nanowires
- Crystallization of fractional charges in a strongly interacting quasi-helical quantum dot
- Spectral properties of one-dimensional spiral spin density wave states
- Equivalence of Rashba-Hubbard and Hubbard chains
- Anomalous Friedel oscillations in a quasi-helical quantum dot
Cited by in corpus (7)
- Distinguishing Majorana Zero Modes from Impurity States through Time-Resolved Transport
- Block-spiral magnetism: An exotic type of frustrated order
- Persistent spin textures and currents in wurtzite nanowire-based quantum structures
- Electrostatical formation of the Majorana quasiparticles in the quantum dot--nanoring structure
- Electron correlation effects in superconducting nanowires in and out of equilibrium
- Non-Equilibrium Charge Dynamics in Majorana-Josephson Devices
- Nonclassical dynamics of Néel vector and magnetization accompanied by THz and high-harmonic radiation from ultrafast-light-driven NiO antiferromagnet insulator