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In this study we explain the role of applied magnetic field in inelasticconduction properties of a Quantum Dot coupled with an oscillator . In thepresence of strong applied magnetic field coulomb blockade effects become weakdue to induced Zeeman splitting in spin degenerate eigen states of QuantumDot.By contacting Quantum Dot by identical metallic leads tunneling rates ofspin down and spin up electrons between Quantum Dot and electrodes will besymmetric. For symmetric tunneling rates of spin down and spin up electronsonto Quantum Dot, first oscillator get excited by spin down electrons and thenspin up elctrons could excite it further. Where as average energy transferredto oscillator coupled with Quantum Dot by spin down electrons will furtherincrease by average energy transferred by spin up electrons to oscillator. Herewe have also discussed that with increasing Quantum Dot and electrodes couplingstrength phononic side band peaks start hiding up, which happens because withincreasing tunneling rates electronic states of Quantum Dot start getttingbroadened.

Inelastic electron transport through Quantum Dot coupled with an nano mechancial oscillator in the presence of strong applied magnetic field