Thermodynamics of a Charged Particle in a Noncommutative Plane in a Background Magnetic Field

Springer Science and Business Media LLC - Tập 56 - Trang 1831-1844 - 2017
Aslam Halder1, Sunandan Gangopadhyay2,3
1Kolorah H.A.W Institution, Kolorah, Howrah, India
2Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata Mohanpur, Nadia, India
3Visiting Associate in Inter University Centre for Astronomy & Astrophysics (IUCAA), Pune, India

Tóm tắt

Landau system in noncommutative space has been considered. To take into account the issue of gauge invariance in noncommutative space, we incorporate the Seiberg-Witten map in our analysis. Generalised Bopp-shift transformation is then used to map the noncommutative system to its commutative equivalent system. In particular we have computed the partition function of the system and from this we obtained the susceptibility of the Landau system and found that the result gets modified by the spatial noncommutative parameter θ. We also investigate the de Hass–van Alphen effect in noncommutative space and observe that the oscillation of the magnetization and the susceptibility gets noncommutative corrections. Interestingly, the susceptibility in the noncommutative scenario is non-zero in the range of the magnetic field greater than the threshold value which is in contrast to its commutative counterpart. The results obtained are valid upto all orders in the noncommutative parameter θ.

Tài liệu tham khảo

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