Phonon Engineering for Enhanced Electron Binding in 1D Materials
![The study demonstrates that in a doped Harper-Shapira-Shultz (HSSH) model-a 90-site one-dimensional chain with [latex]U=8t[/latex], [latex]\Omega=t[/latex], and doping levels of 6.67% or with two localized defects-the binding energy [latex]\Delta_b[/latex] exhibits a strong dependence on the ratio [latex]\Omega^{\prime}/\Omega[/latex], revealing distinct behaviors between the HSSH and Harper-Haldane (HH) models with parameters [latex]g=0.4[/latex] and [latex]g=1.13[/latex] respectively, and directly correlating with the system’s lattice distortion and phonon dispersion.](https://arxiv.org/html/2603.11373v1/x1.png)
New research reveals how manipulating optical phonons can strengthen electron pairing and induce novel correlated states in one-dimensional doped materials.
![The study demonstrates that in a doped Harper-Shapira-Shultz (HSSH) model-a 90-site one-dimensional chain with [latex]U=8t[/latex], [latex]\Omega=t[/latex], and doping levels of 6.67% or with two localized defects-the binding energy [latex]\Delta_b[/latex] exhibits a strong dependence on the ratio [latex]\Omega^{\prime}/\Omega[/latex], revealing distinct behaviors between the HSSH and Harper-Haldane (HH) models with parameters [latex]g=0.4[/latex] and [latex]g=1.13[/latex] respectively, and directly correlating with the system’s lattice distortion and phonon dispersion.](https://arxiv.org/html/2603.11373v1/x1.png)
New research reveals how manipulating optical phonons can strengthen electron pairing and induce novel correlated states in one-dimensional doped materials.
![For an 8-site, 8-electron system, a density matrix renormalization group (DMRG) and functional-renormalization-based embedding method accurately trace the ground state energy across weak and strong coupling regimes, with observed deviations at low [latex]U[/latex] and high [latex]g[/latex] attributable to mean-field overstabilization of charge density wave order-an effect that dissipates within the Mott insulating phase.](https://arxiv.org/html/2603.11463v1/x5.png)
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![The geometry of a wormhole, described by [latex] \mathbb{R} \times S^{1} [/latex], is visualized as a cylindrical structure of length [latex] L_{0} [/latex] and radius [latex] a [/latex], where the boundaries-circles of radius [latex] a [/latex] at [latex] z = \pm L_{0}/2 [/latex]-represent the points of contact between the flat Minkowski spaces and the wormhole itself.](https://arxiv.org/html/2603.11724v1/x1.png)
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