Ground state and non-linear excitations of two strongly coupled Su-Schrieffer-Heeger chains

1987 ◽  
Vol 66 (1) ◽  
pp. 107-123 ◽  
Author(s):  
J. J. M. Slot ◽  
H. J. F. Knops
Author(s):  
Saren Gaowa ◽  
Yan-Bo Geng ◽  
Zhao-Hua Ding ◽  
Jing-Lin Xiao

In this research, the effects of magnetism and parabolic potential on strongly coupled polaron characteristics within asymmetric Gaussian quantum wells (AGQWs) were investigated. To do so, the following six parameters were studied, temperature, AGQW barrier height, Gaussian confinement potential (GCP) width, confinement strengths along the directions of [Formula: see text] and [Formula: see text], as well as magnetic field cyclotron frequency. The relationships among frequency oscillation, AGQW parameters and polaron ground state energy in RbCl crystal were studied based on linear combination operator and Lee–Low–Pines unitary transformation. It was concluded that ground state energy absolute value was decreased by increasing GCP width and temperature, and increased with the increase of confinement strength along [Formula: see text] and [Formula: see text] directions, cyclotron frequency of magnetic field and barrier height of AGQW. It was also found that vibrational frequency was increased by enhancing confinement strengths along the directions of [Formula: see text] and [Formula: see text], magnetic field cyclotron frequencies, barrier height AGQW and temperature and decreased with the increase of GCP width.


2012 ◽  
Vol 26 (03) ◽  
pp. 1150015 ◽  
Author(s):  
ZHI-XIN LI

We study the temperature effect of bound polaron, which is strongly coupled to LO-phonon by using a variational method of the Pekar type in a triangular potential quantum dot (QD). The ground state energy was expressed as functions of the confinement length of QD, the Coulomb bound potential, the polar angle and the temperature. It is found that at low temperature, the influence of Coulomb bound potential and the confinement length of QD to the ground state energy of bound polaron play a leading role. At high temperature, the influence of temperature to the ground state energy of bound polaron is dominant.


2006 ◽  
Vol 97 (8) ◽  
Author(s):  
A. D. Boozer ◽  
A. Boca ◽  
R. Miller ◽  
T. E. Northup ◽  
H. J. Kimble

1998 ◽  
Vol 12 (22) ◽  
pp. 2225-2232 ◽  
Author(s):  
Xiyu Su ◽  
Hang Zheng

An electron related squeezed phonon transformation is employed to investigate the ground state properties of the strongly coupled electron–phonon system in one dimension. It has been shown that the binding energy of the polaron and the interaction between the polarons are renormalized together with the energy reducement of the electron subsystem resulted from the squeeze state of the phonon subsystem. Some relevance with the earlier variational treatments has been discussed as well.


1978 ◽  
Vol 18 (3) ◽  
pp. 1282-1290 ◽  
Author(s):  
Jean-Pierre Hansen ◽  
Redha Mazighi

2021 ◽  
Author(s):  
Cayo Gonçalves ◽  
Raphael D. Levine ◽  
Francoise Remacle

<p>An ultrafast structural, Jahn-Teller (JT) driven, electronic coherence mediated quantum dynamics in the CH<sub>4</sub><sup>+</sup> and CD<sub>4</sub><sup>+ </sup>cations that follows a sudden ionization by an XUV attopulse, exhibits a strong isotope effect. The JT effect makes the methane cation unstable in the T<sub>d</sub> geometry of the neutral. Upon the sudden ionization the cation is produced in a coherent superposition of three electronic states that are strongly coupled. On the ground state of the cation the few femtosecond structural rearrangement leads first to a geometrically less distorted D<sub>2d</sub> minimum followed by a reorganization to a shallow C<sub>2v</sub> minimum. The dynamics is computed for an ensemble of 8000 ions randomly oriented with respect to the polarization of the XUV pulse. The ratio, about 3, of the CD<sub>4</sub><sup>+</sup> and CH<sub>4</sub><sup>+</sup><sub> </sub>autocorrelation functions, is in agreement with experimental measurements of the high harmonic spectra. The high value of the ratio is attributed to the faster electronic coherence dynamics in CH<sub>4</sub><sup>+</sup>. </p>


Author(s):  
Jani Romanoff ◽  
Heikki Remes ◽  
Petri Varsta ◽  
Bruno Reinaldo Goncalves ◽  
Ingrit Lillemäe-Avi ◽  
...  

Present paper gives an overview of the factors that affect the strength and structural design of advanced thin-walled marine structures with reduced plate thickness or alternative topologies to those used today in marine industry. Due to production-induced initial deformations and resulting geometrical non-linearity, the classical division between primary, secondary and tertiary responses becomes strongly coupled. Volume-averaged, non-linear response of structural element can be used to define the structural stress strain relation that enables analysis at the next, larger, length scale. This, today’s standard homogenization process needs to be complemented with localization, where the stresses are assessed at the details, such as welds for fatigue analysis. Due to this, the production-induced initial distortions need to be considered with high accuracy. Another key question is the length-scale interaction in terms of continuum description. Non-classical continuum mechanics are needed when consequtive scales are close. Strain-gradients are used to increase the accuracy of the kinematical description of beams, plates and shells. The paper presents examples of stiffened and sandwich panels covering limit states such as fatigue, non-linear buckling and fracture.


2005 ◽  
Vol 864 ◽  
Author(s):  
Christoph Boehme ◽  
Felice Friedrich ◽  
Klaus Lips

AbstractLow temperature pulsed electrically detected magnetic resonance (pEDMR) measurements of charge trapping and recombination transitions involving Pb centers at the c-Si (111)/SiO2 interface are presented. The results of these experiments show that when a conduction electron is trapped, it forms a strongly coupled spin pair with the defect electron prior to its readjustment into the charged Pb ground state. The data reveals that the Landé factors of the two electrons within these pairs are almost identical (difference < 0.002) and that they are, within the measurement accuracy, identical to the Landé factor of the uncharged, singly occupied Pb center. From this, it is concluded that trapping and recombination at Pb defects is dominated by direct charge capture and not by tunneling or hopping transitions from other localized states. Different cross sections attributed in previous studies to different interface defects at the c-Si/SiO2 interface can be explained by readjustment out of different spin configurations of the charged Pb-* defect.


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