منابع مشابه
Experimental observation of Lee-Yang zeros.
Lee-Yang zeros are points on the complex plane of physical parameters where the partition function of a system vanishes and hence the free energy diverges. Lee-Yang zeros are ubiquitous in many-body systems and fully characterize their thermodynamics. Notwithstanding their fundamental importance, Lee-Yang zeros have never been observed in experiments, due to the intrinsic difficulty that they w...
متن کاملYang–Lee zeros of the Yang–Lee model
To understand the distribution of the Yang–Lee zeros in quantum integrable field theories we analyse the simplest of these systems given by the 2D Yang– Lee model. The grand-canonical partition function of this quantum field theory, as a function of the fugacity z and the inverse temperature β, can be computed in terms of the thermodynamics Bethe Ansatz based on its exact S-matrix. We extract t...
متن کاملLee-yang Zeros for Substitutional Systems
Qualitative and quantitative information about critical phenomena is provided by the distribution of zeros of the partition function in the complex plane. We apply this idea to Ising models on non-periodic systems based on substitution. In 1D we consider the Thue-Morse chain and show that the magnetic field zeros are filling a Cantor subset of the unit circle, the gaps being related to a genera...
متن کاملVafa-Witten theorem and Lee-Yang zeros
We show the absence of singularities and Lee-Yang zeros in the partition function of QCD for imaginary values of the θ-vacuum parameter. This fact has an important consequence: the absence of a first order phase transition at θ = 0. The result provides a key missing link in the Vafa-Witten proof of parity symmetry conservation in vector-like gauge theories and follows from renormalizability, un...
متن کاملDensity of Yang-Lee zeros for the Ising ferromagnet.
The densities of Yang-Lee zeros for the Ising ferromagnet on the L x L square lattice are evaluated from the exact grand partition functions (L=3 approximately 16). The properties of the density of Yang-Lee zeros are discussed as a function of temperature T and system size L. The three different classes of phase transitions for the Ising ferromagnet--first-order phase transition, second-order p...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2015
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.114.010601