### Abstract

We investigate the effect of strong interactions on the spectral properties of quantum wires with strong Rashba spin-orbit (SO) interaction in a magnetic field, using a combination of matrix product state and bosonization techniques. Quantum wires with strong Rashba SO 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 SO 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 k = 0 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.

Originalsprache | englisch |
---|---|

Aufsatznummer | 063009 |

Fachzeitschrift | New Journal of Physics |

Jahrgang | 19 |

Ausgabenummer | 6 |

DOIs | |

Publikationsstatus | Veröffentlicht - 1 Jun 2017 |

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### ASJC Scopus subject areas

- !!Physics and Astronomy(all)

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*New Journal of Physics*,

*19*(6), [063009]. https://doi.org/10.1088/1367-2630/aa7027

**Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction.** / Winkler, G. W.; Ganahl, M.; Schuricht, D.; Evertz, H. G.; Andergassen, S.

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Forschung › Begutachtung

*New Journal of Physics*, Jg. 19, Nr. 6, 063009. https://doi.org/10.1088/1367-2630/aa7027

}

TY - JOUR

T1 - Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction

AU - Winkler, G. W.

AU - Ganahl, M.

AU - Schuricht, D.

AU - Evertz, H. G.

AU - Andergassen, S.

PY - 2017/6/1

Y1 - 2017/6/1

N2 - We investigate the effect of strong interactions on the spectral properties of quantum wires with strong Rashba spin-orbit (SO) interaction in a magnetic field, using a combination of matrix product state and bosonization techniques. Quantum wires with strong Rashba SO 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 SO 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 k = 0 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.

AB - We investigate the effect of strong interactions on the spectral properties of quantum wires with strong Rashba spin-orbit (SO) interaction in a magnetic field, using a combination of matrix product state and bosonization techniques. Quantum wires with strong Rashba SO 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 SO 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 k = 0 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.

KW - bosonization

KW - DMRG

KW - Luttinger liquid

KW - Majorana

KW - matrix product states

KW - spin-orbit interaction

KW - strong correlations

UR - http://www.scopus.com/inward/record.url?scp=85021650720&partnerID=8YFLogxK

U2 - 10.1088/1367-2630/aa7027

DO - 10.1088/1367-2630/aa7027

M3 - Article

VL - 19

JO - New journal of physics

JF - New journal of physics

SN - 1367-2630

IS - 6

M1 - 063009

ER -