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Homework Help: Finite T transverse magnetization of transverse Ising chain

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  1. Mar 8, 2015 #1
    1. The problem statement, all variables and given/known data
    Consider the transverse field Ising model, with

    $$H=-J\sum_i\left(\sigma^x_i\sigma^x_{i+1}+g\sigma^z_i\right)$$

    I have to calculate the magnetization $$\langle\sigma_z\rangle$$ at finite temperature.

    2. Relevant equations


    3. The attempt at a solution
    I have to say, I'm a bit lost.
     
  2. jcsd
  3. Mar 10, 2015 #2

    king vitamin

    User Avatar
    Gold Member

    Classical or quantum? If classical, have you seen the transfer matrix solution of the regular Ising model?

    If this is the quantum Ising chain, the only method I know to solve this is quite involved, and involves Jordan-Wigner and Bogoliubov transforms. If this is homework I would guess you would've been given more info for how to solve it.
     
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