29,665 research outputs found
Mass formulae and strange quark matter
We have derived the popularly used parametrization formulae for quark masses
at low densities and modified them at high densities within the
mass-density-dependent model. The results are applied to investigate the lowest
density for the possible existence of strange quark matter at zero temperature.Comment: 9 pages, LATeX with ELSART style, one table, no figures. Improvement
on the derivation of qark mass formula
Macroscopic Quantum Tunneling Effect of Z2 Topological Order
In this paper, macroscopic quantum tunneling (MQT) effect of Z2 topological
order in the Wen-Plaquette model is studied. This kind of MQT is characterized
by quantum tunneling processes of different virtual quasi-particles moving
around a torus. By a high-order degenerate perturbation approach, the effective
pseudo-spin models of the degenerate ground states are obtained. From these
models, we get the energy splitting of the ground states, of which the results
are consistent with those from exact diagonalization methodComment: 25 pages, 14 figures, 4 table
Spin-charge Separation in Nodal Antiferromagnetic Insulator
In this paper, by using two dimensional (2D) Hubbard models with pi-flux
phase and that on a hexagonal lattice as examples, we explore
spin-charge-separated solitons in nodal antiferromagnetic (AF) insulator - an
AF order with massive Dirac fermionic excitations (see detail in the paper). We
calculate fermion zero modes and induced quantum numbers on solitons (half
skyrmions) in the continuum limit, which are similar to that in the quasi
one-dimensional conductor polyacetylene (CH)x and that in topological band
insulator. In particular, we find some novel phenomena : thanks to an induced
staggered spin moment, a mobile half skyrmion becomes a fermionic particle;
when a hole or an electron is added, the half skyrmion turns into a bosonic
particle with charge degree of freedom only. Our results imply that nontrivial
induced quantum number on solitons may be a universal feature of spin-charge
separation in different systems
Global convergence analysis of the bat algorithm using a markovian framework and dynamical system theory
The bat algorithm (BA) has been shown to be effective to solve a wider range of optimization problems. However, there is not much theoretical analysis concerning its convergence and stability. In order to prove the convergence of the bat algorithm, we have built a Markov model for the algorithm and proved that the state sequence of the bat population forms a finite homogeneous Markov chain, satisfying the global convergence criteria. Then, we prove that the bat algorithm can have global convergence. In addition, in order to enhance the convergence performance of the algorithm and to identify the possible effect of parameter settings on convergence, we have designed an updated model in terms of a dynamic matrix. Subsequently, we have used the stability theory of discrete-time dynamical systems to obtain the stable parameter ranges for the algorithm. Furthermore, we use some benchmark functions to demonstrate that BA can indeed achieve global optimality efficiently for these functions
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