The Research Of Quantum Transport Under The Generalized Heisenberg Algebra

Electrons exhibit both charge properties and spin characteristics.Spintronics,a new discipline derived from the characteristics of electronics,has attracted much attention since its birth.Many researchers have carried out extensive research on it and made some achievements.Especially since the discovery of Giant Magneto Resistance(GMR)and Tunneling Magneto Resistance(TMR),people began to use the electron spin characteristics to deal with and carry information,and thus triggered fundamental changes in the field of magnetic storage and magnetic recording,and further enriched and perfected the theory of spintronics.In order to further study the electronic properties,we hope to obtain a new type of material in which the electrons have the ability to characterize both the charge properties and the spin properties.Fortunately,this expectation did not make people wait too long.The graphene materials found in 2004 attracted scientists with their excellent physical properties.Since the high carrier mobility in graphene is similar to the property of the no-mass of Dirac fermion,the mainstream theory of quantum gravity now predicts the existence of the minimum length,such as the superstring theory,the circle quantum gravity theory,the black hole theory and so on.Therefore,we can provide a corroboration for the generalized uncertainty relationship by studying the carrier transport properties in graphene.And many theoretical analysis and experimental results in Heisenberg uncertainty are not very ideal.Therefore,it is necessary to try to make a correction to the theory so that we can get the physical model which is more consistent with the experimental results.In this paper,the recent development of the giant magnetoresistance effect and the electronic transport of magnetic structures,and the structure and properties of the graphene materials are introduced.Then,some applications of the giant magnetoresistance materials and the basic concepts of the generalized uncertainty principle are described.Next,the exact solution of the generalized Kemmer oscillator is given based on the NU method,and the special case of the Kemmer harmonic oscillator under the generalized Kemmer harmonic oscillator is further demonstrated,and the exact solvability problem in the quantum mechanics is extended.Then,based on the minimum length,the one-dimensional Dirac equation is studied under the rectangular barrier,and the expressions of the phase time,the standing time,the delay time of the self interference and the relationship between the tunneling times are given.It is further shown that the conclusion under the Heisenberg uncertainty relation is the result under the special circumstances of the generalized Heisenberg uncertainty relation.The fifth chapter,the transmission coefficient and tunneling time of the carrier in the two-dimensional plane graphene layer under the electrostatic barrier are given,and further gives the transmission coefficient and the spin polarization rate under the common effect of the electrostatic potential barrier and the magnetic vector potential.