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The physics of critical phenomena is the physics of systems close to a critical point, like the critical temperature in a ferromagnetic transition or the critical point of a gas-liquid transition. Examples of critical phenomena include dynamical slowing down, divergence of correlation length and ergodicity breaking.

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1 answer
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What does the correlation function look like in first-order transition?

I know the correlation function for critical phenomena $$G(r)\sim \frac{1}{|r|^{d-2+\eta}}$$ for $r\ll \xi$ and $$G(r)\sim e^{-|r|/\xi}$$ for $r\gg\xi$.
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2 votes
0 answers
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How to derive the long range behavior of XY model?

In a lecture note (Lec 23) by Sachdev (https://canvas.harvard.edu/courses/76589/files/folder/Lectures?), he considers a model $$Z=\int D\theta(x)\,exp(-\frac{K}{2\pi}\int d^{2}x\,(\nabla_x\theta)^2),$ …
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5 votes
0 answers
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How to calculate the emergent symmetry group in deconfined quantum critical point problem li...

In the deconfined quantum criticality literatures like https://doi.org/10.1103/PhysRevX.9.041037, some equations are usually given: $$SO(3)\times Z_{4}\to SO(5),\\U(1)\times Z_{4}\to O(4),\\SO(3)\time …
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