منابع مشابه
Emergent spin excitations in a Bethe lattice at percolation.
We study the spin-1/2 quantum Heisenberg antiferromagnet on a Bethe lattice diluted to the percolation threshold. Dilution creates areas of even or odd sublattice imbalance resulting in "dangling spins" [L. Wang and A. W. Sandvik, Phys. Rev. Lett. 97, 117204 (2006); Phys. Rev. B 81, 054417 (2010)]. These collectively act as "emergent" spin-1/2 degrees of freedom and are responsible for the crea...
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We study boundary bound states using the Bethe ansatz formalism for the open XXZ (1 > 1) chain in a boundary magnetic field h. Boundary bound states are represented by the ‘boundary strings’ similar to those described in Skorik and Saleur. We find that for certain values of h the ground-state wavefunction contains boundary strings and from this infer the existence of two ‘critical’ fields in ag...
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We study the dynamical nature of phase oscillator networks on a Bethe lattice. We derive self-consistent equations for the cavity fields (i.e. the oscillator probability distributions) by using the cavity method both in equilibrium and via an analytic approximation for nonequilibrium states. The order parameters and their evolution equations are obtained as functions of the cavity fields. The t...
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In this paper we study the function χ(x1, x2, g) that determines the dressing phase that appears in the all-loop Bethe Ansatz equations for the SL(2) sector of N = 4 super Yang-Mills theory. First, we consider the coefficients cr,s(g) of the expansion of χ(x1, x2, g) in inverse powers of x1,2. We obtain an expression in terms of a single integral valid for all values of the coupling g. The expr...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2020
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.101.016018