Analysis of Lorentz Force in Semiconductor

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Petar Mali
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I have a few questions about this effect. If I have some semiconductor of N type in which I have electrical field in x direction, and magnetic field in z direction

[tex]\vec{E}=E\vec{e}_x[/tex]

[tex]\vec{B}=B\vec{e}_z[/tex]

Then Lorence force is in the -y direction because in N type of semiconductor [tex]n>>p[/tex] so

[tex]F_l=-e\vec{\upsilon_D}x\vec{B}[/tex]

And for this case Hall constant [tex]R_H=-\frac{1}{ne}[/tex] is negative. Am I right?

And in same case but for P type Lorentz force will be

[tex]F_l=e\vec{\upsilon_D}x\vec{B}[/tex]

so in y direction, and Hall constant

[tex]R_H=\frac{1}{pe}[/tex]?
 
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