Thermodynamics of a charged particle in a noncommutative plane in a background magnetic field

Abstract

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 $\theta$. 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 $\theta$.

14 pages Latex. arXiv admin note: text overlap with arXiv:1602.06279

References in corpus (11)

• Remnant for all Black Objects due to Gravity's Rainbow
• Noncommutative Point Sources
• Noncommutative Quantum Hall Effect and Aharonov-Bohm Effect
• Noncommutative minisuperspace, gravity-driven acceleration and kinetic inflation
• Normal ordering and noncommutativity in open bosonic strings
• Some Studies in Noncommutative Quantum Field Theories
• Normal ordering and non(anti)commutativity in open super strings
• Polymer-Fourier quantization of the scalar field revisited
• Pauli equation on noncommutative plane and the Seiberg-Witten map
• Magnetic properties of a Fermi gas in a noncommutative phase space
• Strings in pp-wave background and background B-field from membrane and its symplectic quantization

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