Publisher's Note: Collective excitations in one-dimensional ultracold Fermi gases: Comparative study [Phys. Rev. B<b>78</b>, 195109 (2008)]

Li, Wei; Xianlong, Gao; Kollath, Corinna; Polini, Marco

doi:10.1103/physrevb.78.239904

Cited by 46 publications

(65 citation statements)

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“…10 In short, for times t ≤ 0, the spin-resolved site-occupation profiles can be calculated by means of a static SDFT. For times t > 0, we calculate the time evolution of spin-resolved site-occupation profiles n iσ (t ≤ 0) by means of a TDS-DFT scheme in which the time-dependent xc potential is determined exactly at the ALSDA level (details see, Ref.…”

Section: Model and The Methodsmentioning

confidence: 99%

“…For times t > 0, we calculate the time evolution of spin-resolved site-occupation profiles n iσ (t ≤ 0) by means of a TDS-DFT scheme in which the time-dependent xc potential is determined exactly at the ALSDA level (details see, Ref. [10]). The performance of this method has been tested systematically against accurate t-DMRG simulation data for the repulsive Hubbard model.…”

Section: Model and The Methodsmentioning

confidence: 99%

“…8 Time-dependent spin-density-functional theory (TDS-DFT) has been proved to be a powerful numerical tool beyond the linear-response regime in studying the interplay between interaction and the time-dependent external potential. 9,10 More tests of the performance of TDS-DFT will be done in this paper on the polarized system with attractive or repulsive interactions. Compared to the algorithms, such as the t-DMRG, this technique gives numerically inexpensive results for large lattice systems and long-time evolution, but with difficulties in calculating some properties, such as, the correlation functions.…”

Section: Introductionmentioning

confidence: 99%

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Effects of interaction and polarization on spin-charge separation: A time-dependent spin-density-functional theory study

Xianlong

2010

Phys. Rev. B

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We calculate the nonequilibrium dynamic evolution of a one-dimensional system of two-component fermionic atoms after a strong local quench by using a time-dependent spin-density-functional theory. The interaction quench is also considered to see its influence on the spin-charge separation. It is shown that the charge velocity is larger than the spin velocity for the system of on-site repulsive interaction (Luttinger liquid), and vise versa for the system of on-site attractive interaction (LutherEmery liquid). We find that both the interaction quench and polarization suppress the spin-charge separation.

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Section: Model and The Methodsmentioning

confidence: 99%

Section: Model and The Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effects of interaction and polarization on spin-charge separation: A time-dependent spin-density-functional theory study

Xianlong

2010

Phys. Rev. B

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“…Current far-field methods exploit either the high refractive index of immersion media [6] or the photophysics of molecules [7][8][9][10]] to obtain high resolution images. Plasmonic structures are envisioned to enable surface-bound imaging with a resolution much below the optical wavelength, and indeed stationary hot spots [11][12][13] of subwavelength size can be generated from plasmons propagating in such structures. Subwavelength imaging with surface plasmons requires a freely scanned plasmonic focus, which has not been demonstrated up to now.…”

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confidence: 99%

Focusing and Scanning Microscopy with Propagating Surface Plasmons

et al. 2013

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Here we demonstrate a novel surface plasmon polariton (SPP) microscope which is capable of imaging below the optical diffraction limit. A plasmonic lens, generated through phase-structured illumination, focuses SPPs down to their diffraction limit and scans the focus with steps as small as 10 nm. This plasmonic lens is implemented on a metallic nanostructure consisting of alternating hole array gratings and bare metal arenas. We use subwavelength scattering holes placed within the bare metal arenas to determine the resolution of our microscope. The resolution depends on the size of the scanning SPP focus. This novel technique has the potential for biomedical imaging microscopy, surface biology, and functionalization chemistry. DOI: 10.1103/PhysRevLett.110.266804 PACS numbers: 73.20.Mf, 68.37.Àd, 87.64.MÀ In conventional microscopy, features smaller than about half a wavelength cannot be resolved due to the diffraction limit of far-field optics. As the basic constituents of cells and nanotechnological devices are smaller than the wavelength of visible light, a variety of methods [1,2], including scanning near-field nanoprobes [3][4][5], have been developed for imaging below the diffraction limit. Current far-field methods exploit either the high refractive index of immersion media [6] or the photophysics of molecules [7][8][9][10]] to obtain high resolution images. Plasmonic structures are envisioned to enable surface-bound imaging with a resolution much below the optical wavelength, and indeed stationary hot spots [11][12][13] of subwavelength size can be generated from plasmons propagating in such structures. Subwavelength imaging with surface plasmons requires a freely scanned plasmonic focus, which has not been demonstrated up to now.The novel concept of plasmonic microscopy [14] via the excitation of evanescent waves on metallic nanostructures [15][16][17] offers not only evanescent out-of-plane resolution (as total internal reflection microscopy [18]) but also a large potential for in-plane superresolution: For a fixed light frequency the wavelength of surface plasmon polaritons (SPPs) is shorter than that of freely propagating photons [19][20][21]. The main barrier for plasmonic microscopy is the impossibility to use plasmon optics for detection: The readout is always optical. Wide-field plasmonic excitation (unfocused SPPs) yields an image that is limited in resolution by the detection optics.Enhancing the resolution beyond the limit imposed by the detection optics, or superresolution, is achievable provided that plasmon optics are used to provide tightly confined excitation (e.g., a SPP diffraction limited focus) in a scannable way. Recent theoretical [22][23][24] and experimental [25,26] developments have shown that plasmonic phase structuring might have the potential for 2D surface microscopy. Nevertheless, due to intrinsic problems of these techniques (the degree of complexity, resolution, field of view, or speed), superresolution plasmonic microscopy has yet to be implemented.We show here the fir...

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“…In particular, Refs. [20][21][22][23][24] have proposed adiabatic (static DFT) XC potentials based on the BA solution. For studying timedependent phenomena, adiabatic TDDFT XC potentials based on the results for the BA 22 and DMFT 25 XC energies for the one-band Hubbard model have also been proposed.…”

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confidence: 99%

Nonadiabatic exchange-correlation kernel for strongly correlated materials

Turkowski

Rahman

2017

J. Phys.: Condens. Matter

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ABSTRACT. We formulate a rigorous method for calculating a nonadiabatic (frequencydependent) exchange-correlation (XC) kernel required for correct description of both equilibrium and nonequilibrium properties of strongly correlated systems within Time-Dependent Density Functional Theory (TDDFT). To do so we use the expression for charge susceptibility provided by Dynamical Mean Field Theory (DMFT) for the effective multi-orbital Hubbard Model. We tested our formalism by applying it to the one-band Hubbard model: our nonadiabatic kernel leads to a significant modification of the excitation spectrum, shifting the peak that appears in adiabatic (simplified) solutions and disclosing a new one, in agreement with the DMFT solution. We also used our method to track the nonequilibrium charge-density response of a multi-orbital perovskite Mott insulator, YTiO 3 , to a perturbation by a femtosecond (fs) laser pulse. The results were quite different from those provided by the corresponding adiabatic formalism. These initial investigations indicate that electron-electron correlations and nonadiabatic features can significantly affect the spectrum and nonequilibrium properties of strongly correlated systems. Introduction.--Correct description of the physical, including nonequilibrium, properties of strongly correlated electron systems is one of the most important goals of the condensed matter and material science communities. These systems demonstrate unusual properties with many potential applications both in bulk (high-temperature superconductivity, exotic interplay of magnetism and superconductivity, giant magneto-resistance, etc.) (see, for example Ref.[1]) and in the nanocase (for example, antiferromagnetism in small Fe chains, 2 exotic charge carrier generation in the insulating phase of a VO 2 nanosystem, 3 and anomalous lattice expansion 4,5 and room temperature ferromagnetism 6 in CeO 2 nanostructures). From the perspective of technological applications, nanostructures look even more promising than bulk, since they afford additional channels for tuning a system's properties by varying its size and geometry and by putting it on different substrates. Description of experimentally observed properties as well as prediction of new strongly correlated systems with desired properties requires reliable theoretical and computational tools.

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Publisher's Note: Collective excitations in one-dimensional ultracold Fermi gases: Comparative study [Phys. Rev. B78, 195109 (2008)]

Cited by 46 publications

References 0 publications

Effects of interaction and polarization on spin-charge separation: A time-dependent spin-density-functional theory study

Effects of interaction and polarization on spin-charge separation: A time-dependent spin-density-functional theory study

Focusing and Scanning Microscopy with Propagating Surface Plasmons

Nonadiabatic exchange-correlation kernel for strongly correlated materials

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