Motivated by recent experiments, we investigate the excitation energy of a proximitized Rashba wire in presence position dependent pairing. In particular, focus on spectroscopic pattern produced overlap between two Majorana bound states that appear for values Zeeman field smaller than value necessary reaching bulk topological superconducting phase. The can arise because locally is regime. We find three parameter ranges with different spectral properties: crossings, anticrossings, and...

Quantum batteries are quantum systems designed to store energy and release it on demand. The optimization of their performance is an intensively studied topic within the realm technologies. Such forces question: how do many-body work as batteries? To address this issue, we rely symmetry breaking via phase transitions. Specifically, analyze a dimerized XY chain in transverse field prototype storage device. This model, which characterized by ground states with different symmetries depending...

The simultaneous breaking of time-reversal and inversion symmetry can lead to peculiar effects in Josephson junctions, such as the anomalous effect or supercurrent rectification, which is a dissipationless analog diode effect. Due their impact new quantum technologies, it important find robust platforms external means manipulate above controlled way. Here, we theoretically consider junction based on spin Hall system normal channel, subjected magnetic field direction defined by spin-momentum...

We investigate the performance of a one-dimensional dimerized $XY$ chain as spin quantum battery. Such integrable model shows rich phase diagram that emerges through mapping spins onto auxiliary fermionic degrees freedom. consider charging protocol relying on double quench an internal parameter, namely strength dimerization, and address energy stored in systems. observe three distinct regimes, depending timescale characterizing duration charging: short-time regime related to dynamics single...

Topological superconductors give rise to unconventional superconductivity, which is mainly characterized by the symmetry of superconducting pairing amplitude. However, since amplitude not directly observable, its experimental identification rather difficult. In our work, we propose a system, composed quantum point contact and proximity-induced $s$-wave superconductivity at helical edge two-dimensional topological insulator, for demonstrate presence odd-frequency intimate connection...

Abstract Understanding the properties of far-from-equilibrium quantum systems is becoming a major challenge both fundamental and applied physics. For instance, lack thermalization in integrable (many body) localized provides new insights understanding relaxation dynamics phases. On more applicative side, possibility exploiting states, for example pump-probe experiments, opens unprecedented scenarios. The effort providing classification phases, terms local or topological order parameters,...

Abstract Zigzag nanoribbons hosting the Haldane Chern insulator model are considered. In this context, a reentrant topological phase, characterized by emergence of quasi zero dimensional in-gap states, is discussed. The bound which reside in gap opened hybridization counter-propagating edge modes localized at ends strip and found to be robust against on-site disorder. These findings supported behavior Zak phase over parameter space, exhibits jumps π correspondence transitions between trivial...

The transport properties of an interacting one-dimensional quantum dot capacitively coupled to atomic force microscope probe are investigated. is described within a Luttinger liquid framework which captures both Friedel and Wigner oscillations. In the linear regime, we demonstrate that conductance peak position height oscillate as tip scanned along dot. A pronounced beating pattern in maximum observed, connected oscillations electron density. Signatures effects induced by molecule clearly...

Parafermions are generalizations of Majorana fermions that may appear in interacting topological systems. They known to be powerful building blocks quantum computers. Existing proposals for realizations parafermions typically rely on strong electronic correlations which hard achieve the laboratory. We identify a novel physical system generically develop. It is based point contact formed by helical edge states spin Hall insulator vicinity an ordinary $s$-wave superconductor. Interestingly,...

Majorana bound states are interesting candidates for applications in topological quantum computation. Low-energy models allowing one to grasp their properties hence conceptually important. The usual scenario these is that two relevant gapped phases, separated by a gapless point, exist. In of the boundary absent, while other supports states. We show customary model violates this paradigm. phase should not host fermions fractional soliton exponentially localized at only end. By varying...

Abstract Landau theory’s implicit assumption that microscopic details cannot affect the global phases has been challenged only recently in systems such as antiferromagnetic quantum spin chains with periodic boundary conditions. The new paradigm of topological frustration accordingly put forward. In this context, exhibit a dependence on work, we show modifies zero temperature phase diagram XY chain transverse magnetic field by inducing transitions. Here, transitions mean non-analyticities are...

We evaluate the spin density oscillations arising in quantum Hall dots created via two localized magnetic barriers. The combined presence of barriers and spin-momentum locking, hallmark topological insulators, leads to peculiar phenomena: a half-integer charge is trapped dot for antiparallel magnetization barriers, appear in-plane density, which are enhanced electron interactions. Furthermore, we show that number these determined by particles inside dot, so or absence fractional can be...

The properties of the strongly interacting edge states two dimensional topological insulators in presence two-particle backscattering are investigated. We find an anomalous behavior density-density correlation functions, which show oscillations that neither Friedel nor Wigner type: they, instead, represent a crystal fermions fractional charge $e/2$, with $e$ electron charge. By studying Fermi operator, we demonstrate state characterized by such still bears signatures spin-momentum locking....

The chiral anomaly is based on a non-conserved charge and can happen in Dirac fermion systems under the influence of external electromagnetic fields. In this case, spectral flow leads to transfer right- left-moving excitations or vice versa. corresponding particles happens momentum space. We here describe an intriguing way introduce into real Our system consists two quantum dots that are formed at helical edge spin Hall insulator basis three magnetic impurities. Such setup gives rise...

Thermal effects on the total charge density are studied for a one-dimensional correlated quantum dot by means of path integral Monte Carlo method. The competition between Friedel and Wigner oscillations at zero temperature is driven ratio interaction electronic strength kinetic energy electrons. At onset formation molecule, we show that thermal enhancement occurs in range temperatures, which can be observed electron density. We further low-temperature may change to upon an increase temperature.

Using a Luttinger liquid theory we investigate the time evolution of particle density one-dimensional fermionic system with open boundaries and subject to finite duration quench interparticle interaction. We provide analytical asymptotic solutions unitary system, showing that both switching on off ramp create light-cone perturbations in density. The post-quench dynamics is strongly affected by interference between these two perturbations. In particular, find discrepancy time-dependent one...

The transport properties of a suspended carbon nanotube probed by means scanning tunnel microscope (STM) tip are investigated. A microscopic theory the coupling between electrons and mechanical vibrations is developed. It predicts position-dependent constant, sizable only in region where vibron located. This fact has profound consequences on properties, which allow to extract information location size vibrating portions nanotube.

The properties of prototypical examples one-dimensional fermionic systems undergoing a sudden quantum quench from gapless state to (partially) gapped are analyzed. By means generalized Gibbs ensemble analysis or by numerical solutions in the interacting cases, we observe an anomalous, nonmonotonic response steady-state correlation functions as function strength mechanism opening gap. In order interpret this result, calculate full dynamical evolution these functions, which shows freezing...

We propose a novel realization for topologically superconducting phase hosting Majorana zero modes on the basis of quantum spin Hall systems. Remarkably, our proposal is completely free ferromagnets. Instead, we confine helical edge states around narrow defect line finite length in two-dimensional topological insulator. demonstrate formation new regime, protected presence $s$-wave superconductivity and Zeeman coupling. Interestingly, when system weakly tunnel coupled to state reservoirs,...

The simultaneous breaking of time-reversal and inversion symmetry, in connection to superconductivity, leads transport properties with disrupting scientific technological potential. Indeed, the anomalous Josephson effect superconducting-diode hold promises enlarge applications superconductors nanostructures general. In this context, system we theoretically analyze is a junction (JJ) coupled reconstructed topological channels as link; such are at edges two-dimensional insulator (2DTI). We...

The temperature-induced emergence of Wigner correlations over finite-size effects in a strongly interacting one-dimensional quantum dot is studied the framework spin coherent Luttinger liquid. We demonstrate that, for temperatures comparable with zero mode excitations, Friedel oscillations are suppressed by thermal fluctuations higher modes. On other hand, oscillations, sensitive to charge only, stable and become more visible. This behavior has been proved be robust both electron density...

Abstract We study the spin ordering of a quantum dot defined via magnetic barriers in an interacting Hall edge. The spin‐resolved density–density correlation functions are computed. show that strong electron interactions induce ground state with highly correlated pattern. crossover from liquid‐type correlations at weak to texture found parallels formation one‐dimensional Wigner molecule ordinary strongly dot. magnified image A dot, delimited by two barriers, embedded into (© 2013 WILEY‐VCH...