Relativistic Quantum Statistical Aharonov-Bohm Effect of Many-Boson System in Mesoscopic Ring
Zhao Hongkang
The relativistic quantum statistical properties of charged many-boson system with rest mass for each boson confined in a mesoscopic ring are investigated. The small ring is threaded by Aharonov–Bohm magnetic flux . At low temperature, , we have performed analytical calculations starting from evaluating the logarithm of grand partition function by using Mellin transform. The pair-production problem is excluded from our consideration for the temperature is low. The number density, total energy, specific heat and persistent current are obtained in general. These thermodynamic functions oscillate periodically in with period , and they are related to the modified Bessel functions of the second kind The chemical potential is restricted by to ensure the positive number density of particles and the convergence of fugacity expansions. We find that these functions decay exponentially with temperature, and they also decrease as the circumference L increases. The non-relativistic and ultra-relativistic behaviors of these functions are discussed by considering the asymptotic behaviors of . There is no Bose–Einstein condensation in this system.
Communications in Theoretical Physics•Jan 30, 1998•2 citations