Research output: Contribution to journal › Article

**Image-induced surface states on metals : the effects of spatial dispersion .** / BARTON, G; BABIKER, M.

Research output: Contribution to journal › Article

BARTON, G & BABIKER, M 1981, 'Image-induced surface states on metals: the effects of spatial dispersion ', *Journal of physics c-Solid state physics*, vol. 14, no. 32, pp. 4951-4968. https://doi.org/10.1088/0022-3719/14/32/027

BARTON, G., & BABIKER, M. (1981). Image-induced surface states on metals: the effects of spatial dispersion . *Journal of physics c-Solid state physics*, *14*(32), 4951-4968. https://doi.org/10.1088/0022-3719/14/32/027

BARTON G, BABIKER M. Image-induced surface states on metals: the effects of spatial dispersion . Journal of physics c-Solid state physics. 1981 Nov 20;14(32):4951-4968. https://doi.org/10.1088/0022-3719/14/32/027

@article{9d3419d21d1344ea95c64391700e4443,

title = "Image-induced surface states on metals: the effects of spatial dispersion",

abstract = "The ground-state energy E, including all plasmon-excitation (non-adiabatic) effects, is estimated for an idealised surface polaron which consists of an electron or positron bound to an impenetrable half-space representing a metal by the standard quantised spatially dispersive hydrodynamic model. A unitary transformation that is in effect a non-relativistic gauge transformation leads to a new form of the Hamiltonian, for which E is shown to lie between explicitly calculated upper and lower bounds; these bounds are separated only by 4{\%} rising to 22{\%} as the inverse electron-concentration parameter rs rises through the metallic range from 2 to 6. A good approximation is shown to be embodied in the Schrodinger equation for the particle alone, subject to an ordinary static potential first given by Newns (1969), plus a correction, also effectively a static potential, which capture most of the effects that in other gauges would be classed as non-adiabatic. The success of this approach depends wholly on the presence of spatial dispersion. A brief discussion considers how far the methods developed here are likely to be useful in calculations on more realistic models.",

author = "G BARTON and M BABIKER",

year = "1981",

month = "11",

day = "20",

doi = "10.1088/0022-3719/14/32/027",

language = "English",

volume = "14",

pages = "4951--4968",

journal = "Journal of physics c-Solid state physics",

issn = "0022-3719",

publisher = "Institute of Physics",

number = "32",

}

TY - JOUR

T1 - Image-induced surface states on metals

T2 - the effects of spatial dispersion

AU - BARTON, G

AU - BABIKER, M

PY - 1981/11/20

Y1 - 1981/11/20

N2 - The ground-state energy E, including all plasmon-excitation (non-adiabatic) effects, is estimated for an idealised surface polaron which consists of an electron or positron bound to an impenetrable half-space representing a metal by the standard quantised spatially dispersive hydrodynamic model. A unitary transformation that is in effect a non-relativistic gauge transformation leads to a new form of the Hamiltonian, for which E is shown to lie between explicitly calculated upper and lower bounds; these bounds are separated only by 4% rising to 22% as the inverse electron-concentration parameter rs rises through the metallic range from 2 to 6. A good approximation is shown to be embodied in the Schrodinger equation for the particle alone, subject to an ordinary static potential first given by Newns (1969), plus a correction, also effectively a static potential, which capture most of the effects that in other gauges would be classed as non-adiabatic. The success of this approach depends wholly on the presence of spatial dispersion. A brief discussion considers how far the methods developed here are likely to be useful in calculations on more realistic models.

AB - The ground-state energy E, including all plasmon-excitation (non-adiabatic) effects, is estimated for an idealised surface polaron which consists of an electron or positron bound to an impenetrable half-space representing a metal by the standard quantised spatially dispersive hydrodynamic model. A unitary transformation that is in effect a non-relativistic gauge transformation leads to a new form of the Hamiltonian, for which E is shown to lie between explicitly calculated upper and lower bounds; these bounds are separated only by 4% rising to 22% as the inverse electron-concentration parameter rs rises through the metallic range from 2 to 6. A good approximation is shown to be embodied in the Schrodinger equation for the particle alone, subject to an ordinary static potential first given by Newns (1969), plus a correction, also effectively a static potential, which capture most of the effects that in other gauges would be classed as non-adiabatic. The success of this approach depends wholly on the presence of spatial dispersion. A brief discussion considers how far the methods developed here are likely to be useful in calculations on more realistic models.

U2 - 10.1088/0022-3719/14/32/027

DO - 10.1088/0022-3719/14/32/027

M3 - Article

VL - 14

SP - 4951

EP - 4968

JO - Journal of physics c-Solid state physics

JF - Journal of physics c-Solid state physics

SN - 0022-3719

IS - 32

ER -