Electron states and electron transport in quasi-one-dimensional molecular systems

1985 ◽  
Vol 63 (7) ◽  
pp. 1899-1903 ◽  
Author(s):  
Alexandr S. Davydov ◽  
Ivan I. Ukrainskii
Keyword(s):  
Electron Pair ◽  
Electron System ◽  
Linear Potential ◽  
Electron Wave ◽  
Electron Pairs ◽  
One Dimensional ◽  
Molecular Systems ◽  
Fermi Statistics ◽  
Causative Factors ◽  
The Many

It is shown that the concept of electron pairs may be introduced in conducting quasi-one-dimensional systems with electron delocalization such as (CH)x and the stacks of molecule-donors and acceptors of electrons TMTSF, TTT, TCNQ, etc. The introduction of pairing proves to be useful and electronic structure and electronic processes can be easily visualized. The two causative factors in the appearance of pairs in a many-electron system with repulsion are pointed out. The first one is the electron Fermi-statistics that does not allow a spatial region to be occupied by more than two electrons. The second one is the interaction of electrons with a soft lattice. The first of these factors is important at large and intermediate electron densities ρ ≥ 1, the second one dominates at [Formula: see text]. The kink-type excitation parameters in (CH)x are considered with a non-linear potential obtained in an electron-pair approach for the many-electron wave function of (CH)x.

The Electron Pair in Chemistry

1974 ◽  
Vol 52 (8) ◽  
pp. 1310-1320 ◽  
Author(s):  
R. Daudel ◽  
R. F. W. Bader ◽  
M. E. Stephens ◽  
D. S. Borrett
Keyword(s):  
Information Theory ◽  
Electronic Structure ◽  
Electron Pair ◽  
Real Space ◽  
Maximum Amount ◽  
Fundamental Unit ◽  
Electron Pairs ◽  
Molecular Systems ◽  
Amount Of Information ◽  
The One

The reality of the electron pair as a fundamental unit in the electronic structure of molecular systems is evidenced by calculations which show that the most probable partitioning of a system is the one which localizes pairs of electrons in well-defined spatial regions or loges. The loges in turn, correspond to those regions of space generally associated with core, bonded, and non-bonded electrons. In terms of information theory, they yield the maximum amount of information concerning the localizability of the electrons. The most probable three-loge partitioning of the six-electron BH(X1∑+) system, for example, is dominated by the event which places two electrons in each of three loges, the location and shape of the loges being such as to justify the labelling of the electron pairs they localize as core, bonded and nonbonded. Since the loges are defined in real space and are totally nonoverlapping, one may define the volume of space occupied by pairs of electrons. In BH, for example, the volume of space required to contain 95% of the nonbonded pair of electrons is over two times larger than that required to contain 95% of the bonded pair. It is possible to define core loges which exhibit pair occupation probabilities ranging in value from 95% in LiH+ to 85% in BH. Corresponding probabilities ranging in value from 75% to 90% are obtained for bonded and nonbonded loges. In the set of molecules studied here, the occurrence of events with such high probabilities is found only for loges which maximize the probability of a pair occupation.

SOLITON-MEDIATED ELECTRON PAIRING

2008 ◽  
Vol 18 (03) ◽  
pp. 885-890 ◽  
Author(s):  
MANUEL G. VELARDE ◽  
CHRISTIAN NEIßNER
Keyword(s):  
Electron Pair ◽  
Three Dimensional ◽  
Pair Potential ◽  
Electron Velocity ◽  
Cooper Pairs ◽  
Dimensional Model ◽  
Electron Wave ◽  
Electron Pairing ◽  
One Dimensional ◽  
Model Lattice

We study electron-electron pairing in an one-dimensional model lattice system embedded into a three-dimensional environment. The electron pair potential is lowered by a single, localized lattice deformation. Such a deformation is related to solitons moving along the lattice. Yet the exact form and the time evolution of the lattice excitation are of secondary relevance as the electron pair is stable for sufficiently wide deformations which propagate on molecular time scales, e.g. velocity of sound ≪ electron velocity. The spatial structure of the pair potential and the electron-electron wave function bring a mechanism of pairing different from the exchange of phonons between the electrons and the lattice which leads to Cooper pairs, and different also from the formation of bipolarons.

Thermoelectric power of anisotropic electron system in quasi-one-dimensional organic conductors

2001 ◽  
Vol 120 (1-3) ◽  
pp. 1069-1070 ◽  
Author(s):  
E.S. Choi ◽  
H.Y. Kang ◽  
Y.J. Jo ◽  
J. Yeom ◽  
W. Kang
Keyword(s):  
Thermoelectric Power ◽  
Electron System ◽  
Organic Conductors ◽  
One Dimensional

Conclusion: Detroit and the future of the city

2017 ◽  
Author(s):  
Brian Doucet
Keyword(s):  
Power Relations ◽  
Critical Assessment ◽  
One Dimensional ◽  
Marginal Groups ◽  
The Future ◽  
The Many ◽  
The City

In this concluding chapter, the main strands of through within the book are brought together. The main narrative of Detroit as a symbol of urban failure is briefly discussed before shifting to a critical assessment of the city’s emerging narrative: that of comeback and renaissance. Both these one-dimensional narratives are treated as problematic and critiqued by using relevant chapters from the book. Two main policy and political insights are highlighted. The first is that much of Detroit’s decline has been a factor produced outside its boundaries so its solutions need to be thought of at these geographic scales. The second relates to working towards including different voices and perspectives about the future of the city and rethinking how power relations can give marginal groups real input into the systems which shape their lives. The many interviews and perspectives in this book provide pathways towards inclusive, fair and just cities.

scholarly journals Dynamical response of a one-dimensional quantum-wire electron system

1996 ◽  
Vol 54 (3) ◽  
pp. 1936-1946 ◽  
Author(s):  
S. Das Sarma ◽  
E. H. Hwang
Keyword(s):  
Quantum Wire ◽  
Electron System ◽  
Dynamical Response ◽  
One Dimensional

RENORMALIZATION OF POTENTIAL SCATTERING IN A ONE-DIMENSIONAL NON-LUTTINGER LIQUID: CONDUCTION AND X-RAY FERMI-EDGE SINGULARITY

1995 ◽  
Vol 09 (05) ◽  
pp. 249-269
Author(s):  
DONGXIAO YUE
Keyword(s):  
Luttinger Liquid ◽  
Scattered Wave ◽  
Zeeman Splitting ◽  
Electron System ◽  
Potential Scattering ◽  
Differential Conductance ◽  
One Dimensional ◽  
Edge Singularity ◽  
Fermi Edge ◽  
Fermi Edge Singularity

We review some of our recent results on the potential scattering in a weakly interacting one-dimensional(1D) electron gas. The technique we developed is a poor man's renormalization group procedure in the scattered wave basis. This technique can treat the renormalizations of the scattering on the barrier and the scattering between the electrons in a coherent way, and it allows us to find the scattering amplitudes on a localized potential of arbitrary strength for electrons at any energy. The obtained phase shifts are used to study the Fermi-edge singularity in an interacting 1D electron system, where anomalous exponent of the power-law singularity in the vicinity of the edge is found. The transmission coefficient is directly related to the conductance of a 1D channel by the Landauer formula. Simple formulas that describe the conductance at any temperature are derived. In spin-[Formula: see text] systems, the electron–electron backscattering induces renormalizations of the interaction constants, which causes the low-temperature conductance to deviate from the results of the Luttinger liquid theory. In particular, the temperature dependence of the conductance may become nonmonotonic. In the presence of a magnetic field, backscattering gives rise to a peak in the differential conductance at bias equal to the Zeeman splitting.

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