Static response to a charge impurity near a metal surface finite-barrier treatment

1983 ◽  
Vol 2 (4) ◽  
pp. 1187-1202
Author(s):  
G. Fano ◽  
A. Magnaterra
1981 ◽  
Vol 31 (14) ◽  
pp. 465-468 ◽  
Author(s):  
G. Lo Vecchio ◽  
A. Magnaterra

1985 ◽  
Vol 54 (7) ◽  
pp. 649-652 ◽  
Author(s):  
J. Mahanty ◽  
K.N. Pathak ◽  
V.V. Paranjape
Keyword(s):  

2009 ◽  
Vol 24 (02) ◽  
pp. 99-107 ◽  
Author(s):  
KUMAR S. GUPTA ◽  
SIDDHARTHA SEN

We present a quantum analysis of the massless excitations in graphene with a charge impurity. When the effective charge exceeds a certain critical value, the spectrum is quantised and unbounded from below. The corresponding eigenstates are square-integrable at infinity and have a rapidly oscillatory behaviour in the short distance, which can be interpreted as a fall to the centre. Using a cutoff regularisation, we show that the effective Coulomb interaction strength is driven to its critical value under the renormalisation group flow. In the subcritical region, we find bound states with imaginary values of the energy for certain range of the system parameters. The physical significance of these bound states with imaginary eigenvalues is discussed.


1985 ◽  
Vol 161 (1) ◽  
pp. A534
Author(s):  
F. Sols ◽  
P. Miranzo ◽  
F. Flores

1987 ◽  
Vol 36 (4) ◽  
pp. 676-688 ◽  
Author(s):  
G Mukhopadhyay
Keyword(s):  

1982 ◽  
Vol 42 (9) ◽  
pp. 687-690 ◽  
Author(s):  
F Sols ◽  
F Flores

1985 ◽  
Vol 161 (1) ◽  
pp. 33-38 ◽  
Author(s):  
F. Sols ◽  
P. Miranzo ◽  
F. Flores

Author(s):  
L.E. Murr ◽  
V. Annamalai

Georgius Agricola in 1556 in his classical book, “De Re Metallica”, mentioned a strange water drawn from a mine shaft near Schmölnitz in Hungary that eroded iron and turned it into copper. This precipitation (or cementation) of copper on iron was employed as a commercial technique for producing copper at the Rio Tinto Mines in Spain in the 16th Century, and it continues today to account for as much as 15 percent of the copper produced by several U.S. copper companies.In addition to the Cu/Fe system, many other similar heterogeneous, electrochemical reactions can occur where ions from solution are reduced to metal on a more electropositive metal surface. In the case of copper precipitation from solution, aluminum is also an interesting system because of economic, environmental (ecological) and energy considerations. In studies of copper cementation on aluminum as an alternative to the historical Cu/Fe system, it was noticed that the two systems (Cu/Fe and Cu/Al) were kinetically very different, and that this difference was due in large part to differences in the structure of the residual, cement-copper deposit.


Author(s):  
A. Elgsaeter ◽  
T. Espevik ◽  
G. Kopstad

The importance of a high rate of temperature decrease (“rapid freezing”) when freezing specimens for freeze-etching has long been recognized1. The two basic methods for achieving rapid freezing are: 1) dropping the specimen onto a metal surface at low temperature, 2) bringing the specimen instantaneously into thermal contact with a liquid at low temperature and subsequently maintaining a high relative velocity between the liquid and the specimen. Over the last couple of years the first method has received strong renewed interest, particularily as the result of a series of important studies by Heuser and coworkers 2,3. In this paper we will compare these two freezing methods theoretically and experimentally.


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