# Questions tagged [ising-model]

The Ising model of ferromagnetism in statistical mechanics consists of discrete bimodal (+1 or −1) "spin" (moment) variables in a simple Hamiltonian interacting with their next neighbors on a lattice. The one-dimensional variant does not evince a phase transition, but the two-dimensional square-lattice one does. Use for analog and generalized discrete models on several lattices and dimensions.

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### Fluctuating magnetization curve in ising model

I am working on Metropolis-Montecarlo algorithm for 2D Ising model in python partly based on this document. I ran the simulation for 100 times on a 25 x 25 lattice with external magnetic field B = 0. ...
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### Torus two-point blocks and a-monodromy for the 2D Ising CFT

I was trying to use some concrete example to understand the a-monodromy and b-monodromy in the proof of the Verlinde formula. On the Yellow Book, I found the following results for the torus two-point ...
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### Majorana zero mode and 1D Ising model

It is known that the one-dimensional (1D) Ising model can be mapped to a free Majorana model using a Jordan-Wigner transformation and its two degenerated ground states are well interpreted by the two ...
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### Phase transition in ground state of a ferromagnetic system

I am new to this topic of phase transition , but is the phase transition occurs in the ground state of the ferromagnetic system ? As we get the self consistent equation of local magnetization (m) by ...
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### Question about Peierls Droplets argument

I am trying to understand the logic of considering Peierls droplets. The basic idea is that the entropy and energy of the loop are proportional to its length L (see Tong's lectures, p.161). As a ...
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### Physical explanation of the characteristics of the order parameter of the transverse Ising Model

The Hamiltonian for transverse Ising model is $$\hat{H}=-\sum_{j=0}^{N-1}(\lambda \hat{\sigma}_j^x\hat{\sigma}_{j+1}^x+\hat{\sigma}_j^z)$$ where $\hat{\sigma}$s are Pauli matrices. This model shows ...
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### Correlation time for Ising metropolis algorithm as a function of temperature

I am using metropolis algorithm for 2D Ising Model. Is there an expression for correlation time of consecutive Monte Carlo sweeps as a function of temperature? The external magnetic H field is set to ...
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