Consider a one-dimensional chain of atoms with lattice constant a. The energy of an electron with wave-vector k is \epsilon (k)=\mu - \gamma cos(ka), where \mu and \gamma are constants. If an electric field E is applied in the positive x -direction, the time dependent velocity of an electron is (In the following B is the constant)

Tight binding model — CSIR Net PYQ (Question 3)

A Tight binding model previous-year question (PYQ) from Solid State Physics (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 3 of 12 · 5.0 marks

Consider a one-dimensional chain of atoms with lattice constant

a

. The energy of an electron with wave-vector

k

ϵ (k) = μ - γ cos (k a)

, where

μ

and

γ

are constants. If an electric field

E

is applied in the positive

x

-direction, the time dependent velocity of an electron is
(In the following

B

is the constant)

1proportional to $cos (B - \frac{e E}{ℏ} a t)$
2proportional to $E$
3independent of $E$
4proportional to $s in (B - \frac{e E}{ℏ} a t)$

Correct answer: Option 1 or 4

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