A = \frac{S}{a ^{2}}, C = \frac{4 J S ^{2}}{a ^{2}}, q = n \times \partial_{t} n - B .

After adding

λ m \cdot n

, the terms involving the massive canting field are

L_{m} = - C ∣ m ∣^{2} + m \cdot (A q + l amb d a n) .

L_{m} = - C m - \frac{A q + l amb d a n}{2 C}^{2} + \frac{∣ A q + l amb d a n ∣ ^{2}}{4 C} .

m

contributes only a field-independent determinant. Hence

L_{e ff} (n, λ) = - \frac{J S ^{2}}{2} ∣\nabla n ∣^{2} + \frac{1}{16 J a ^{2}} q + \frac{a ^{2} λ}{S} w i d e t i l d e n^{2} .

 Ancestors (10)

 Discussion (0)

There are no discussions about this article yet.

There are currently no matching articles.