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1.
We consider one-dimensional (1D) interacting spinless fermions with a non-linear spectrum in a clean quantum wire (non-linear
bosonization). We compute diagrammatically the 1D dynamical structure factor, S(ω,q), beyond the Tomonaga approximation focusing
on it's tails, |ω| ≫vq,
i.e. the 2-pair excitation continuum due to forward scattering. Our methodology reveals three classes of diagrams: two “chiral”
classes which bring divergent contributions in the limits ω→±vq, i.e. near the single-pair excitation continuum, and a “mixed”
class (so-called Aslamasov-Larkin or Altshuler-Shklovskii type diagrams) which is crucial for the f-sum rule to be satisfied.
We relate our approach to the T=0 ones present in the literature. We also consider the
case and show that the 2-pair excitation continuum dominates the single-pair one in the range: |q|T/kF ≪ω±vq ≪T (substantial for q ≪kF). As applications we first derive the small-momentum optical conductivity due to forward scattering: σ∼1/ω for T ≪ω and σ∼T/ω2 for T ≫ω. Next, within the 2-pair excitation continuum, we show that the attenuation rate of a coherent mode of dispersion
Ωq crosses over from
, e.g. γq ∼|q|3 for an acoustic mode, to
, independent of Ωq, as temperature increases. Finally, we show that the 2-pair excitation continuum yields subleading curvature corrections
to the electron-electron scattering rate:
, where V is the dimensionless strength of the interaction. 相似文献
2.
We point out that the equivalent-photon approximation (EPA) for processes with massive spin-1 particles in the final state would have validity in a more restricted kinematic domain
than for processes where it is commonly applied, viz., those with spin-1/2 or spin-0 particles in the final state. We obtain
the criterion for the validity ofEPA for the two-photon production of a pair of charged, massive, point-like spin-1 particlesV
±, each of massM and with a standard magnetic moment (κ=1). In a process in which one of the photons is real and the other virtual with four-momentumq, the condition for the validity ofEPA is |q
2|≪M
2, in addition to the usual condition |q
2|≪W
2,W being theV
+
V
− invariant mass. In a process in which both photons are virtual (with four-momentaq andq′), our condition is |q
2||q′2|W
4 ≪ 16M
8, in addition to |q
2| ≪M
2, |q′2| ≪M
2 and |q
2| ≪W
2, |q′2| ≪W
2. Even when these extra conditions permitting the use ofEPA are not fulfilled, convenient approximate expressions may still be obtained assuming merely |q
2| ≪W
2 and |q′2| ≪W
2.
We also discuss how the extra conditions are altered when the vector bosons are incorporated in a spontaneously broken gauge
theory. Examples ofW boson production in Weinberg-Salam model are considered for which the condition |q
2||q′2|W
4 ≪ 16M
8 is shown to be removed. 相似文献
3.
G.I. Japaridze S. Sarkar 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,28(2):139-144
A one-dimensional model of interacting electrons with on-site U, nearest-neighbor V, and pair-hopping interaction W is studied at half-filling using the continuum limit field theory approach. The ground state phase diagram is obtained for
a wide range of coupling constants. In addition to the insulating spin-density wave (SDW) and charge-density wave (CDW) phases
for large U and V, respectively, we identify a bond-charge-density-wave (BCDW) phase W < 0, | U - 2V| < | 2W| and a bond-spin-density-wave (BSDW) for W > 0, | U - 2V| < W. The possibility of bond-located ordering results from the site-off-diagonal nature of the pair-hopping term and is a special
feature of the half-filled band case. The BCDW phase corresponding to an enhanced Peierls instability in the system. The BdSDW
is an unconventional insulating magnetic phase, characterized by a gapless spin excitation spectrum and a staggered magnetization
located on bonds between sites. The general ground state phase diagram including insulating, metallic, and superconducting
phases is discussed. A transition to the η-superconducting phase at | U - 2V| ≪ 2t?W is briefly discussed.
Received 20 February 2002 / Received in final form 11 April 2002 Published online 19 July 2002 相似文献
4.
Space-time dispersion of graphene conductivity 总被引:1,自引:0,他引:1
L. A. Falkovsky A. A. Varlamov 《The European Physical Journal B - Condensed Matter and Complex Systems》2007,56(4):281-284
We present an analytic calculation of the conductivity of pure graphene as a
function of frequency ω, wave-vector k, and temperature for the
range where the energies related to all these parameters are small in
comparison with the band parameter γ≃3 eV, but much larger than
the collision rate τ-1. The simple asymptotic expressions are given
in various limiting cases. For instance, the conductivity for kv0≪
T≪ω is equal to σ(ω,k)=e2/4ħ and independent
of the band structure parameters γ and v0. Our results are also
used to explain the known dependence of the graphite conductivity on
temperature and pressure. 相似文献
5.
M. Combescot X. Leyronas C. Tanguy 《The European Physical Journal B - Condensed Matter and Complex Systems》2003,31(1):17-24
The N-ground-state-exciton normalization factor, namely 〈v| B
0
N
B
0
dagN| v〉 = N!F
N, with B
0
d
ag the exact ground state exciton creation operator, differs from N! because the excitons are not perfect bosons. The quantity FN turns out to be crucial for problems dealing with interacting excitons. Indeed, the excitons feel each other not only through
the Coulomb interaction but also through Pauli exclusion between their components. A quite novel purely Pauli contribution
exists in their many-body effects, which relies directly on FN. Following procedures used in the commutation technique we recently introduced to treat interacting close-to-bosons, and
in the BCS theory of superconductivity, we rederive important relations verified by the FN's. We also give new explicit expressions of FN valid for η = Na
x
3/ small but N
2
a
x
3/ large, as FN does not read in terms of η but Nη, the exciton number N being possibly huge in macroscopic samples. Due to this superextensivity, FN does not appear alone in physical quantities, but through ratios like F
N + p/F
N. We end this work by giving the η expansion of these ratios, useful for all purely Pauli many-body effects.
Received 30 May 2002 / Received in final form 12 October 2002 Published online 27 January 2003
RID="a"
ID="a"e-mail: combescot@gps.jussieu.fr 相似文献
6.
The electrochemical intercalation of Li+ into hafnium-doped TiS2 was studied using time-differential perturbed angular correlations (TDPAC). The181Ta nuclear quadrupole interaction was monitored as a function of the charge transfer,n
F. For low uptakes, 0≤n
F≤0.03, a two-phase region was found with an empty host interaction, characterized byV
q=458(4) MHz, η=0.19(3) and δ-0.083(5), and a second interaction corresponding to lithiated material withv
q=597(5) MHz, η=0.13(4) and δ=0.061(5). No evidence was found for intermediate phases. 相似文献
7.
8.
We study the two-dimensional Gross-Pitaevskii theory of a rotating Bose gas in a disc-shaped trap with Dirichlet boundary
conditions, generalizing and extending previous results that were obtained under Neumann boundary conditions. The focus is
on the energy asymptotics, vorticity and qualitative properties of the minimizers in the parameter range |log ε|≪Ω≲ε
−2|log ε|−1 where Ω is the rotational velocity and the coupling parameter is written as ε
−2 with ε≪1. Three critical speeds can be identified. At
\varOmega = \varOmegac1 ~ |loge|\varOmega=\varOmega_{\mathrm{c_{1}}}\sim |\log\varepsilon| vortices start to appear and for
|loge| << \varOmega < \varOmegac2 ~ e-1|\log\varepsilon|\ll\varOmega< \varOmega_{\mathrm{c_{2}}}\sim \varepsilon^{-1} the vorticity is uniformly distributed over the disc. For
\varOmega 3 \varOmega c2\varOmega\geq\varOmega _{\mathrm{c_{2}}} the centrifugal forces create a hole around the center with strongly depleted density. For Ω≪ε
−2|log ε|−1 vorticity is still uniformly distributed in an annulus containing the bulk of the density, but at
\varOmega = \varOmegac3 ~ e-2|loge|-1\varOmega=\varOmega_{\mathrm {c_{3}}}\sim\varepsilon ^{-2}|\log\varepsilon |^{-1} there is a transition to a giant vortex state where the vorticity disappears from the bulk. The energy is then well approximated
by a trial function that is an eigenfunction of angular momentum but one of our results is that the true minimizers break
rotational symmetry in the whole parameter range, including the giant vortex phase. 相似文献
9.
The TDPAD technique has been used via the19F(p,p1γ)19F reaction to study the graphite intercalation compound (GIC) formed in AsF5 vapour. The spectra are dominated by the quadrupole interaction corresponding to the formation of C-F bonds, withv
q~58 MHz, η=0 and δ=0.04. However, peaks are also observed which can be ascribed tentatively to the presence of AsF3. The strong textural features of the spectra can be related to the direction of the electric field gradient (efg) with respect
to the incident beam direction and the detector plane. This suggests that potentially TDPAD can be useful for the characterization
of GIC's. 相似文献
10.
A. S. Demidov 《Russian Journal of Mathematical Physics》2010,17(2):145-153
For a given domain ω ⋐ ℝ2 with boundary γ = ∂ω, we study the cardinality of the set $
\mathfrak{A}_\eta \left( \Phi \right)
$
\mathfrak{A}_\eta \left( \Phi \right)
of pairs of numbers (a, b) for which there is a function u = u
(a,b): ω → ℝ such that ∇2
u(x) = au(x) + b ⩾ 0 for x ∈ ω, u|
γ
= 0, and ||∇u(s)| − Φ(s) ⩽ η for s ∈ γ. Here η ⩾ 0 stands for a very small number, Φ(s) = |∇(s)| / ∫
γ
|∇v| d
γ, and v is the solution of the problem ∇2
v = a
0
v + 1 ⩾ 0 on ω with v|
γ
= 0, where a
0 is a given number. The fundamental difference between the case η = 0 and the physically meaningful case η > 0 is proved. Namely, for η = 0, the set $
\mathfrak{A}_\eta \left( \Phi \right)
$
\mathfrak{A}_\eta \left( \Phi \right)
contains only one element (a, b) for a broad class of domains ω, and a = a
0. On the contrary, for an arbitrarily small η > 0, there is a sequence of pairs (a
j
, b
j
) ∈ $
\mathfrak{A}_\eta \left( \Phi \right)
$
\mathfrak{A}_\eta \left( \Phi \right)
and the corresponding functions u
j
such that ‖f
u
j+1‖ − ‖f
u
j
‖ > 1, where ‖f
u
j
= max
x∈ω
|f
u
j
(x)| and f
u
j
(x) = a
j
u
j
(x) + b
j
. Here the mappings f
u
j
: ω → ℝ necessarily tend as j → ∞ to the δ-function concentrated on γ. 相似文献
11.
Force fields from literature for the degenerate (E') vibrations of AlCl3 and SO3 are transferred from the valence symmetry coordinates to the central- and Keating symmetry coordinates. In both cases it is found |F 12 k| > |F 12| > |F 12 c|. 相似文献
12.
Hiroshi Masui 《The European Physical Journal C - Particles and Fields》2009,62(1):169-173
One of the most striking results is the large elliptic flow (v
2) at RHIC. Detailed mass and transverse momentum dependence of elliptic flow are well described by ideal hydrodynamic calculations
for p
T<1 GeV/c, and by parton coalescence/recombination picture for p
T=2–6 GeV/c. The systematic error on v
2 is dominated by so-called “non-flow effects”, which are correlations other than flow, such as resonance decays and jets.
It is crucial to understand and reduce the systematic error from non-flow effects in order to understand the underlying collision
dynamics. In this paper, we present the centrality dependence of v
2 with respect to the first harmonic event plane at ZDC-SMD (v
2{ZDC-SMD}) in Au + Au collisions at
GeV. A large rapidity gap (|Δη|>6) between midrapidity and the ZDC-SMD could enable us to minimize possible non-flow contributions. We compare the results
of v
2{ZDC-SMD} with v
2{BBC}, which is measured by event plane determined at |η|=3.1–3.9. Possible non-flow contributions in those results will be discussed. 相似文献
13.
R. Sartor 《Physics letters. [Part B]》1977,69(1):6-8
By taking due account of momentum conservation, it is shown that, when ω is near the Fermi energy ωF, the imaginary part of the mass operator for an infinite Fermi system behaves like (ω ? ωF)p(k) where the exponent p(k) ? 2 depends on the interval in which is lying. In particular, the commonly asserted quadratic behaviour (ω ? ωF2 is shown to be true only for . It is explicity assumed that the Fermi system admits a perturbative type treatment. 相似文献
14.
We argue that the mass, production, total decay width, and decay pattern of the η
2(1870) do not appear to contradict with the picture of it as being the conventional 2 1
D
2
q[`(q)]q\bar{q}
state. The possibility of the η
2(1870) being a mixture of the conventional
q[`(q)]q\bar{q}
and a hybrid is also discussed. 相似文献
15.
The symmetry and |m| partial-wave analysis for two-dimensional (2D) Coulomb-scattering is investigated. As a function of energyE, the |m| partial-wave scattering amplitudef
|m|(θ) is analytically continuated to the, negativeE (complexk) plane, and it is found that the bound state energy eigenvalues (E<0) are just located at the poles off
|m|(θ) on the positive imaginaryk axis as is expected. In addition, as a function of |m|,f
|m|(θ) is analytically continuated to the complex |m| plane, the bound state energy eigenvalues are just located at the poles
off
|m|(θ) on the positive real |m| axis. 相似文献
16.
High-statistics Belle data on the γγ → π0η reaction have been analyzed in order to reveal the mechanism of two-photon production and the nature of the a
0(980) resonance. The solution obtained for the γγ → π0η amplitude is in agreement with the predictions of the chiral theory for the πη-scattering length; with the strong coupling
of the a
0(980) resonance with the πη, K
$
\bar K
$
\bar K
, and πη′ channels; and with the key role of the a
0(980) → (K
$
\bar K
$
\bar K
+ π0η + π0η′) → γγ rescattering mechanisms in the a
0(980) → γγ decay. This picture is much in favor of the q
2
$
\bar q
$
\bar q
2 nature of a
0(980) resonance and is consistent with the properties of its partners, σ0(600) and f
0(980) resonances, in particular, with those manifested in the γγ → ππ reactions. The important role of vector exchanges in
the formation of the nonresonant background in the γγ → π0η reaction has been revealed. Preliminary information on the π0η → π0η reaction has been obtained. 相似文献
17.
E. Heinsalu M. Patriarca F. Marchesoni 《The European Physical Journal B - Condensed Matter and Complex Systems》2009,69(1):19-22
We study the effects of the confining conditions on the
occurrence of stochastic resonance (SR) in continuous bistable
systems. We model such systems by means of double-well potentials
that diverge like |x|q for |x|↦∞. For super-harmonic
(hard) potentials with q > 2 the SR peak sharpens with increasing q, whereas for sub-harmonic (soft) potentials, q < 2, it
gets
suppressed. 相似文献
18.
Yu. A. Simonov 《JETP Letters》2008,87(3):121-123
The dipion spectrum for the ϒ(nS) → ϒ(n′S) transition with n < 4 has the form dw/dq ∼ (phase space) |η − x|2, with x = q
2 − 4m
π2 / (ΔM)2 − 4m
π2 < q
2 ≡ M
ππ2, and ΔM = M(nS) − M(n′S). The parameter η is calculated and the spectrum is shown to reproduce the experimental data for all three types of decays:
3 → 1, 2 → 1, and 3 → 2 with η ≈ 0.5, 0, and −3, respectively.
The text was submitted by the author in English. 相似文献
19.
Aldo Procacci Benedetto Scoppola Victor Gerasimov 《Communications in Mathematical Physics》2003,235(2):215-231
Given an infinite graph 𝔾 quasi-transitive and amenable with maximum degree Δ, we show that reduced ground state degeneracy
per site W
r
(𝔾, q) of the q-state antiferromagnetic Potts model at zero temperature on 𝔾 is analytic in the variable 1/q, whenever |2Δe
3
/q|<1. This result proves, in an even stronger formulation, a conjecture originally sketched in [12] and explicitly formulated
in [16 and 19], based on which a sufficient condition for W
r
(𝔾, q) to be analytic at 1/q=0 is that 𝔾 is a regular lattice.
Received: 16 January 2002 / Accepted: 17 October 2002 Published online: 18 February 2003
RID="*"
ID="*" Partially supported by CNPq (Brazil)
RID="**"
ID="**" Partially supported by CNR, G.N.F.M. (Italy)
Communicated by H. Spohn 相似文献