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Quantum phase transition of (1+1)-dimensional O(3) nonlinear sigma model at finite density with tensor renormalization group
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abstract
We study the quantum phase transition of the (1+1)-dimensional O(3) nonlinear sigma model at finite density using the tensor renormalization group method. This model suffers from the sign problem, which has prevented us from investigating the properties of the phase transition. We investigate the properties of the phase transition by changing the chemical potential $\mu$ at a fixed coupling of $\beta$. We determine the transition point $\mu_{\rm c}$ and the critical exponent $\nu$ from the $\mu$ dependence of the number density in the thermodynamic limit. The dynamical critical exponent $z$ is also extracted from the scaling behavior of the temporal correlation length as a function of $\mu$.
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Cited by 2 Pith papers
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Tensor renormalization group study of cold and dense QCD in the strong coupling limit
In strong-coupling lattice QCD at Nτ=8, the chiral and nuclear transition endpoints coincide at m_c≈2.06, and a first-order transition persists at m=2.07 on a 1024^4 zero-temperature lattice.
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Tensor renormalization group study of (1+1)-dimensional O(3) nonlinear sigma model with and without finite chemical potential
Tensor renormalization group yields central charge c = 1.97(9) and critical exponents nu = 0.512(15), z = 1.96(6) for the (1+1)d O(3) sigma model, matching theory.
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