2012
DOI: 10.1016/j.physleta.2012.03.007
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Quantum transport through anisotropic molecular magnets: Hubbard Green function approach

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Cited by 16 publications
(11 citation statements)
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“…The non-equilibrium Green’s function method has been widely used in the discussion of Kondo effects in quantum dots 5 47 –5 1 . In order to handle the large spin involved in many problems, we use the Hubbard operator Green’s function method 34 , which has been used to solve the transport problems in the linear response, non-linear response, and Kondo regimes 52 53 54 . In this Hubbard operator representation, the electron operators in the dot are rewritten as with δ σ = +1(−1) for σ = ↑(↓), , s + = X ↑↓ and s − = X ↓↑ .…”
Section: Methodsmentioning
confidence: 99%
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“…The non-equilibrium Green’s function method has been widely used in the discussion of Kondo effects in quantum dots 5 47 –5 1 . In order to handle the large spin involved in many problems, we use the Hubbard operator Green’s function method 34 , which has been used to solve the transport problems in the linear response, non-linear response, and Kondo regimes 52 53 54 . In this Hubbard operator representation, the electron operators in the dot are rewritten as with δ σ = +1(−1) for σ = ↑(↓), , s + = X ↑↓ and s − = X ↓↑ .…”
Section: Methodsmentioning
confidence: 99%
“…In the limit of infinite Coulomb interaction ( U → ∞), double-occupation is forbidden and c σ = X 0 σ . The large spin operators can be expressed as 34 , , and , with S representing the large spin quantum number and . Hence, the total Hamilton is rewritten as…”
Section: Methodsmentioning
confidence: 99%
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“…Non-equilibrium Hubbard Green function has been used to solve the thermoelectric transport in the sequential and linear response regime 35 . The system Hamilton can be rewritten by the transition operator 36 37 38 39 , i.e.…”
Section: Methodsmentioning
confidence: 99%
“…Thus it fails the usual second quantization EOM technique. Here, following our previous work, 26 we use the EOM technique combined with Hubbard operators. 27 The completeness basis of the OL is {|0 , |↑ , |↓ , |2 } and the electron operators in the OL are rewritten as d σ = X 0σ + δ σ X σ2 , with δ σ = + 1(1) for σ = ↑ (↓) and σ = −σ; the electron spin operators are written as s z = X ↑↑ − X ↓↓ /2, s + = X ↑↓ and s = X ↓↑ , where X ij = |i j| are defined in terms of electron basis states |i (|j ) (i, j = 0, ↑, ↓, 2) of the OL.…”
mentioning
confidence: 99%