Low energy quantum regimes of 1D dipolar Hubbard model with correlated hopping

Fazzini, Serena; Barbiero, Luca; Montorsi, Arianna

doi:10.1088/1742-6596/841/1/012016

Cited by 3 publications

(4 citation statements)

References 38 publications

(55 reference statements)

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“…This is the case for instance for both dipolar interaction (α = 3), and unscreened Coulomb repulsion (α = 1). In fact, when the decay is sufficiently fast (α > 1), it is expected that the phase diagram remains qualitatively the same [9], and a similar behavior is derived also for the non-local parameters [10]. However, it is not possible to obtain analogous analytic predictions for lower α's values.…”

Section: Introductionmentioning

confidence: 77%

“…The one-dimensional extended Hubbard Model (EHM) is a lattice Hamiltonian describing the competition of kinetic energy and diagonal on-site (U) and nearest neighboring sites (V) density-density Coulomb interaction. Its applications range from high-T c superconductors [25], to conducting polymers [26], organic charge-transfer salts [27], and ultracold atomic gases ( [10] and references therein).…”

Section: The Extended Long-range Hubbard Modelmentioning

confidence: 99%

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Hidden Charge Orders in Low-Dimensional Mott Insulators

Fazzini

Montorsi

2019

Applied Sciences

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The opening of a charge gap driven by interaction is a fingerprint of the transition to a Mott insulating phase. In strongly correlated low-dimensional quantum systems, it can be associated to the ordering of hidden non-local operators. For Fermionic 1D models, in the presence of spin–charge separation and short-ranged interaction, a bosonization analysis proves that such operators are the parity and/or string charge operators. In fact, a finite fractional non-local parity charge order is also capable of characterizing some two-dimensional Mott insulators, in both the Fermionic and the bosonic cases. When string charge order takes place in 1D, degenerate edge modes with fractional charge appear, peculiar of a topological insulator. In this article, we review the above framework, and we test it to investigate through density-matrix-renormalization-group (DMRG) numerical analysis the robustness of both hidden orders at half-filling in the 1D Fermionic Hubbard model extended with long range density-density interaction. The preliminary results obtained at finite size including several neighbors in the case of dipolar, screened and unscreened repulsive Coulomb interactions, confirm the phase diagram of the standard extended Hubbard model. Besides the trivial Mott phase, the bond ordered and charge density wave insulating phases are also not destroyed by longer ranged interaction, and still manifest hidden non-local orders.

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Section: Introductionmentioning

confidence: 77%

Section: The Extended Long-range Hubbard Modelmentioning

confidence: 99%

Hidden Charge Orders in Low-Dimensional Mott Insulators

Fazzini

Montorsi

2019

Applied Sciences

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“…Here we report the results of a bosonization analysis [32] of H eff , which details can be found in [54]. The Hamiltonian can be regarded as the sum of three contributions:…”

Section: Luttinger Liquid Analysismentioning

confidence: 99%

Hidden magnetism in periodically modulated one dimensional dipolar fermions

et al. 2017

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The experimental realization of time-dependent ultracold lattice systems has paved the way towards the implementation of new Hubbard-like Hamiltonians. We show that in a one-dimensional twocomponents lattice dipolar Fermi gas the competition between long range repulsion and correlated hopping induced by periodically modulated on-site interaction allows for the formation of hidden magnetic phases, with degenerate protected edge modes. The magnetism, characterized solely by string-like nonlocal order parameters, manifests in the charge and/or in the spin degrees of freedom. Such behavior is enlighten by employing Luttinger liquid theory and numerical methods. The range of parameters for which hidden magnetism is present can be reached by means of the currently available experimental setups and probes.

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“…Due to both the high level of parameter control and the fact that string order parameters can be measured by in-situ imaging [22,23], many body ultracold atomic systems [24] represent a very promising platform where these models and their topological states can be achieved. Indeed many proposals involving particles with long range dipolar interaction [25] trapped in optical lattices have been presented [26][27][28][29][30]. Crucially in all these possible setups Haldane orders are associated with a finite value of the charge gap thus describing symmetry protected topological insulators.…”

mentioning

confidence: 99%

Homogeneous and domain-wall topological Haldane conductors with dressed Rydberg atoms

2020

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The interplay between antiferromagnetic interaction and hole motion is capable of inducing conducting Haldane phases with topological features described by a finite non-local string order parameter. Here we show that these states of matter are captured by the one dimensional t − Jz model which can be experimentally realized with dressed Rydberg atoms trapped onto a one dimensional optical lattice. In the sector with vanishing total magnetization exact calculations associated to bosonization technique allow to predict that both metallic and superconducting topological Haldane states can be achieved. With the addition of an appropriate magnetic field the system enters in a domain wall structure with finite total magnetization. In this regime the conducting Haldane states are confined in domains separated by regions where a fully polarized Luttinger liquid occurs. A procedure to dynamically stabilize such topological phases starting from a confined Ising state is also described. PACS numbers:O S (l) J z =0.5 J z =1.0 J z =1.5 J z =2.0 J z =2.5

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Low energy quantum regimes of 1D dipolar Hubbard model with correlated hopping

Cited by 3 publications

References 38 publications

Hidden Charge Orders in Low-Dimensional Mott Insulators

Hidden Charge Orders in Low-Dimensional Mott Insulators

Hidden magnetism in periodically modulated one dimensional dipolar fermions

Homogeneous and domain-wall topological Haldane conductors with dressed Rydberg atoms

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