arXiv subjects

Nassim Derriche

Publications and source records attributed to Nassim Derriche.

4 recordsLinked to original sources

arXiv2025

Atomic and bond polarization causing strong screening of short-range Coulomb interactions and its effect in cuprate superconductors

We present a novel and efficient real space, semiclassical model of electric polarization with general applicability to any system in which screening plays an important role. This model includes the effects of both atomic and bond polarizabilities, the latter originating from the modification of local bond charge transfer energies induced by polarizing charges. The nonlinear interference of multiple polarization clouds and the emergence of local field effects are highlighted as key phenomena highly influencing the short-range screening of the Coulomb interaction. As a representative system to showcase this model, the screened interaction between doped holes in the CuO$_2$ planes of cuprate high-temperature superconductors is investigated. This leads to the emergence of striking direction-dependent short-range minima in their Coulomb repulsion, which can strongly reduce the need for retardation effects and allow for an enhancement of the attractive interaction resulting from the exchange of bosons between two electrons or holes. This in turn enhances T$_C$, shortens the Cooper pair coherence length and supports the materialization of the pseudogap phase anisotropy observed in many high-T$_C$ superconductors.

cond-mat.supr-con↗

arXiv2024

Light-element and purely charge-based topological materials

We examine a class of Hamiltonians characterized by interatomic, interorbital even-odd parity hybridization as a model for a family of topological insulators without the need for spin-orbit coupling. Non-trivial properties of these materials are exemplified by studying the topologically-protected edge states of s-p hybridized alkali and alkaline earth atoms in one and two-dimensional lattices. In 1D the topological features are analogous to the canonical Su-Schrieffer-Heeger model but, remarkably, occur in the absence of dimerization. Alkaline earth chains, with Be standing out due to its gap size and near particle-hole symmetry, are of particular experimental interest since their Fermi energy without doping lies directly at the level of topological edge stats. Similar physics is demonstrated to occur in a 2D honeycomb lattice system of s-p bonded atoms, where dispersive edge states emerge. Lighter elements are predicted using this model to host topological states in contrast to spin-orbit coupling-induced band inversion favoring heaving atoms.

cond-mat.mes-hall↗

arXiv2022

Suppression of Peierls-like, nesting-based instabilities in solids

The understanding of lattice instabilities is of vast importance in material science. The famous example is the Peierls instability of one-dimensional metals and for strongly-nested Fermi surfaces in two and three dimensions. Through an analysis of H and Li chains in band theory, we find that the Bloch wave nature of the wavefunctions, if involving strong k-dependent hybridization of oppositeparity atomic states, strongly suppresses susceptibility peaks and associated instabilities and is thus essential to consider in searching for materials with strong responses to external perturbations.

cond-mat.other↗

arXiv2019

Nanopore fabrication via tip-controlled local breakdown using an atomic force microscope

The dielectric breakdown approach for forming nanopores has greatly accelerated the pace of research in solid-state nanopore sensing, enabling inexpensive formation of nanopores via a bench top setup. Here we demonstrate the potential of tip controlled dielectric breakdown (TCLB) to fabricate pores 100$\times$ faster, with high scalability and nanometre positioning precision. A conductive atomic force microscope (AFM) tip is brought into contact with a nitride membrane positioned above an electrolyte reservoir. Application of a voltage pulse at the tip leads to the formation of a single nanoscale pore. Pores are formed precisely at the tip position with a complete suppression of multiple pore formation. In addition, our approach greatly accelerates the electric breakdown process, leading to an average pore fabrication time on the order of 10 ms, at least 2 orders of magnitude shorter than achieved by classic dielectric breakdown approaches. With this fast pore writing speed we can fabricate over 300 pores in half an hour on the same membrane.

physics.bio-ph↗