Modified two-band two-dimensional hubbard model for the description of the high critical temperature superconducting phase transition in cuprates

Adam Gheorghe; Adam S.

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ADAM, Gheorghe, ADAM, S.. Modified two-band two-dimensional hubbard model for the description of the high critical temperature superconducting phase transition in cuprates. In: Moldavian Journal of the Physical Sciences, 2011, nr. 1(10), pp. 5-11. ISSN 1810-648X.

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Moldavian Journal of the Physical Sciences

Numărul 1(10) / 2011 / ISSN 1810-648X /ISSNe 2537-6365

Modified two-band two-dimensional hubbard model for the description of the high critical temperature superconducting phase transition in cuprates

Pag. 5-11

Adam Gheorghe¹², Adam S.²¹

¹ Joint Institute of Nuclear Research,
² Horia Hulubei National Institute for Physics and Nuclear Engineering

Disponibil în IBN: 16 decembrie 2013

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A progress report on the development of numerical and rigorous solutions of the effective two-band two-dimensional Hubbard model of the high-temperature superconductivity in cuprates [N.M. Plakida et al., PRB 51, 16599 (1995)], within the equation of motion technique of the thermodynamic Green function approach, is given. Four important consequences of the rigorous mean-field solution are worth mentioning: (1) Occurrence, both in the normal and superconducting states, of the spin-charge separation, conjectured by P.W. Anderson on intuitive grounds. (2) Origin of the static d-wave pairing in the hopping singlet conduction. (3) Complete suppression of the s-type superconducting pairing by the crystal symmetry in square two- dimensional lattices and occurrence of a residual s-type term in rectangular lattices, in agreement with the experiment. (4) The energy band hybridization in the superconducting state points to an overall displacement of the energy spectrum toward lower energies, as pointed by very precise optical measurements.

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two-band two-dimensional Hubbard model of the high-temperature superconductivity in cuprates 
[N.M. Plakida  et  al.,  PRB  51,  16599  (1995)], within  the  equation  of motion  technique  of  the 
thermodynamic Green function approach, is given. Four important consequences of the rigorous 
mean-field  solution  are  worth  mentioning:  (1)  Occurrence,  both  in  the  normal  and 
superconducting states, of the spin-charge separation, conjectured by P.W. Anderson on intuitive 
grounds. (2) Origin of the static d-wave pairing in the hopping singlet conduction. (3) Complete 
suppression  of  the  s-type  superconducting  pairing  by  the  crystal  symmetry  in  square  two-

dimensional lattices and occurrence of a residual s-type term in rectangular lattices, in agreement 
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