Quantum statistical foundation to the fermi liquid model and Ginzburg-Landau wave function

1993 ◽  
Vol 6 (6) ◽  
pp. 373-379 ◽  
Author(s):  
Shigeji Fujita ◽  
Salvador Godoy
Author(s):  
Shigeji Fujita ◽  
Kei Ito
Keyword(s):  

2020 ◽  
Author(s):  
Jiawei Wang ◽  
Jiebin Niu ◽  
Bin Shao ◽  
Guanhua YANG ◽  
Congyan Lu ◽  
...  

Abstract Organic conjugated polymers demonstrate great potential in the transistor, solar cell and light-emitting diodes. The performances of those devices are fundamentally governed by charge transport within the active materials. However, the morphology-property relationships and the underpinning charge transport mechanism in polymers remain unclear. Particularly, whether the nonlinear charge transport in doped conducting polymers, i.e., anomalous non-Ohmic behaviors at low temperature, is appropriately formulated within non-Fermi liquid picture is not clear. In this work, via varying crystalline degrees of samples, we carried out systematic investigations on the charge transport nonlinearity in conducting polymers. Possible charge carriers’ dimensionality was discussed with experiments when varying the molecular chain’s crystalline orders. A heterogeneous-resistive-network (HRN) model was proposed based on the tied link between Fermi liquids (FL) and Luttinger liquids (LL), related to the high-ordered crystalline zones and weak-coupled amorphous regions, respectively. This mesoscopic HRN model is experimentally supported by precise electrical and microstructural characterizations, together with theoretic evaluations. Significantly, such model well describes the nonlinear transport behaviors in conducting polymers universally and provides new insights into the microstructure-correlated charge transport in organic conducting/semiconducting systems.


1997 ◽  
Vol 52 (10) ◽  
pp. 727-738
Author(s):  
Michael C. Böhm ◽  
Johannes Schütt

Abstract In the present work we discuss the role of the Pauli antisymmetry principle (PAP) in synchronous pericyclic reactions. These reactions are allowed in the electronic ground state whenever the PAP does not act as a quantum constraint in the transition state. The possible suppression of the influence of the PAP is a peculiarity of π electron systems. The PAP is a hidden (= deactivated) variable in the π electron subspace of polyenes and (4n + 2) annulenes (n = 0, 1, 2,...). In 4n annulenes (n = 1, 2, 3,...) it leads to minority signs in the kinetic hopping matrix of the π electronic wave function and thus to an energetic destabilization. The quantum statistical difference between the above families of π systems renders possible a microscopical definition of the quantities “aromaticity” and “antiaromaticity”. The sign behaviour of the kinetic hopping elements is used in the discussion of pericyclic reactions. The present quantum statistical description of these reactions is related to the Dewar-Zimmermann and Woodward-Hoffmann rules.


2020 ◽  
Author(s):  
A. Bhattacharya ◽  
S. Pal ◽  
B. Chakrabarti
Keyword(s):  

1989 ◽  
Vol 1 (27) ◽  
pp. 4485-4489 ◽  
Author(s):  
P K Misra ◽  
J Callaway

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