Clifford statistics, quantum Hall effect, and the Hagedorn limit
نویسنده
چکیده
Using the recently discovered Clifford statistics we propose a simple model for the grand canonical ensemble of the carriers in the theory of fractional quantum Hall effect. The model leads to a temperature limit associated with the permutational degrees of freedom of such an ensemble. We also briefly review Schur’s theory of projective representations of the permutation groups. PACS numbers: 73.43.-f, 05.30.-d
منابع مشابه
Clifford statistics and the temperature limit in the theory of fractional quantum Hall effect
Using the recently discovered Clifford statistics we propose a simple model for the grand canonical ensemble of the carriers in the theory of fractional quantum Hall effect. The model leads to a temperature limit associated with the permutational degrees of freedom of such an ensemble. We also relate Schur’s theory of projective representations of the permutation groups to physics, and remark o...
متن کاملبررسی اثر صحیح کوانتومی هال در سیستمهای دارای ناخالصی به روش تبدیل پیمانهای در حضور نقطههای کوانتومی
In this paper we study the integer quantum Hall effect (IQHE) on the systems with different types of impurities in delta and gaussian forms. The Landau energy levels in the presence of impurity split in two different levels,the extended and localized levels, emerging then the Hall step. Finally, we add a specified form of a quantum dot potential to a system with impurity, and observed that incr...
متن کاملClifford Wavelets and Clifford-valued MRAs
In this paper using the Clifford algebra over R4 and its matrix representation, we construct Clifford scaling functions and Clifford wavelets. Then we compute related mask functions and filters, which arise in many applications such as quantum mechanics.
متن کاملMany - body Systems with Non - Abelian Statistics
We use the conformal field theory to construct many-body Hamiltonians whose ground states support quasiparticle excitations with the non-abelian statistics. The explicit forms of the many-body ground-state wave functions are calculated. The above systems may appear naturally in the Fractional Quantum Hall Effect (FQHE) in the low density limit. We discuss the calculation of the quasiparticle st...
متن کاملClifford algebra as quantum language
We suggest Clifford algebra as a useful simplifying language for present quantum dynamics. Clifford algebras arise from representations of the permutation groups as they arise from representations of the rotation groups. Aggregates using such representations for their permutations obey Clifford statistics. The vectors supporting the Clifford algebras of permutations and rotations are plexors an...
متن کامل