The X-ray Diffraction Patterns of Bimetallic FexM100-x (M = Mo and W) Nanoclusters

Lee, G. H.; Huh, Seung Hun; Park, and J. W.; Kim, H. K.

doi:10.1021/jp003128b

Cited by 6 publications

(5 citation statements)

References 39 publications

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“…[6]), which has been widely studied [6]. In particular, the various correlation functions and scaling dimensions obtained here for the spin-1/2 fermion model have been derived for the 1D Hubbard model, for interacting fermions and for a mixture of bosons and fermions using the dressed charge formalism [6,[40][41][42][43]. Accordingly our results in the infinite coupling limit reduce to those obtained for the 1D Hubbard model with an infinitely strong repulsion.…”

Section: Introductionsupporting

confidence: 49%

Thermodynamics, spin-charge separation, and correlation functions of spin-1/2fermions with repulsive interaction

et al. 2012

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We investigate the low temperature thermodynamics and correlation functions of onedimensional spin-1/2 fermions with strong repulsion in an external magnetic field via the thermodynamic Bethe ansatz method. The exact thermodynamics of the model in a weak magnetic field is derived with the help of Wiener-Hopf techniques. It turns out that the low energy physics can be described by spin-charge separated conformal field theories of an effective Tomonaga-Luttinger liquid and an antiferromagnetic SU (2) Heisenberg spin chain. However, these two types of conformally invariant low-lying excitations may break down as excitations take place far away from the Fermi points. The long distance asymptotics of the correlation functions and the critical exponents for the model in the presence of a magnetic field at zero temperature are derived in detail by solving dressed charge equations and by conformal mapping. Furthermore, we calculate the conformal dimensions for particular cases of correlation functions. The leading terms of these correlation functions are given explicitly for a weak magnetic field H ≪ 1 and for a magnetic field close to the critical field H → H c . Our analytical results provide insights into universal thermodynamics and criticality in one-dimensional many-body physics.

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Section: Introductionsupporting

confidence: 49%

Thermodynamics, spin-charge separation, and correlation functions of spin-1/2fermions with repulsive interaction

et al. 2012

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“…In the above correlation functions, for strong coupling regime, the exponents can be given explicitly in [114,115]. We observe that the leading order for the long distance asymptotics of the pair correlation function G p (x, t) oscillates with wave number ∆k F , where ∆k F = π(n ↑ − n ↓ ).…”

Section: Critical Phenomena Of the Attractive Fermi Gasmentioning

confidence: 94%

“…conformal invariance. Thus various correlation functions can be analytically calculated using conformal field theory [114][115][116], for example the one particle Green's function,…”

Section: Critical Phenomena Of the Attractive Fermi Gasmentioning

confidence: 99%

Critical phenomena in one dimension from a Bethe ansatz perspective

Guan

2014

Int. J. Mod. Phys. B

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This article briefly reviews recent theoretical developments in quantum critical phenomena in one-dimensional (1D) integrable quantum gases of cold atoms. We present a discussion on quantum phase transitions, universal thermodynamics, scaling functions and correlations for a few prototypical exactly solved models, such as the Lieb-Liniger Bose gas, the spin-1 Bose gas with antiferromagnetic spin-spin interaction, the two-component interacting Fermi gas as well as spin-3/2 Fermi gases. We demonstrate that their corresponding Bethe ansatz solutions provide a precise way to understand quantum many-body physics, such as quantum criticality, Luttinger liquids, the Wilson ratio, Tan's Contact, etc. These theoretical developments give rise to a physical perspective using integrability for uncovering experimentally testable phenomena in systems of interacting bosonic and fermonic ultracold atoms confined to 1D.Comment: a brief review, 21 pages, 15 figures, Eq. (9) was corrected, some new references were added in this arXiv versio

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“…Since Cr antiferromagnetically couples with Co, these enhanced coercivities may result from other factors. Note that the particle size of binary nanoclusters generally decreases with increasing concentration of impurity atoms and that the coercivity can increase with decreasing particle size for single-domain nanoclusters . In both CoCr films and bulk alloys, the coercivities are found to increase with decreasing grain size, ,, implying that the enhanced coercivities in CoCr NCWs may be related to the cluster size decrease due to alloying with Cr.…”

Section: Resultsmentioning

confidence: 99%

CoCr Binary Nanocluster Wires: Enhanced Magnetic Properties of the Co-rich Phase

et al. 2002

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We report fabrication of CoCr binary nanocluster wires (NCWs) by thermally decomposing Co 2 (CO) 8 /Cr(CO) 6 metal carbonyl vapors by using a resistive heater placed in the middle of a pair of permanent disk magnets. In general, NCWs grow through the pile-up of binary CoCr nanoclusters perpendicularly to the substrates attached to the magnet surfaces. NCWs, ranging from 10 to 20 nm in diameter and also branching out while they grow, exist as a bundle. The bundles with lengths up to 2-3 mm form a three-dimensional array. We observed much higher coercivities and larger remanences for arrays with magnetic field applied parallel to the NCWs than those with magnetic field applied perpendicular to the NCWs. Importantly, we observed that arrays of CoCr NCWs with a 0.8-2.2 mol % Cr in which only Co-rich phase exists showed enhanced magnetic properties, that is, nearly doubled coercivities compared to that of the array of pure Co NCWs. When the Cr mole percentage is above 2.2, however, coercivities decreased because the amount of nonmagnetic Cr-rich phase increased accordingly.

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The X-ray Diffraction Patterns of Bimetallic Fe_xM_100-x (M = Mo and W) Nanoclusters

Cited by 6 publications

References 39 publications

Thermodynamics, spin-charge separation, and correlation functions of spin-1/2fermions with repulsive interaction

Thermodynamics, spin-charge separation, and correlation functions of spin-1/2fermions with repulsive interaction

Critical phenomena in one dimension from a Bethe ansatz perspective

CoCr Binary Nanocluster Wires: Enhanced Magnetic Properties of the Co-rich Phase

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