Towards a semiclassical theory for quantum hall skyrmions (Record no. 48756)
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| 000 -LEADER | |
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| fixed length control field | 02755nam a2200253Ia 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160627s2001||||xx |||||||||||||| ||und|| |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | UNM Th-68 |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Dutta Sreedhar Babu |
| Relator term | author |
| 245 ## - TITLE STATEMENT | |
| Title | Towards a semiclassical theory for quantum hall skyrmions |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Year of publication | 2001 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | v; 62p. |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | 2001 |
| 502 ## - DISSERTATION NOTE | |
| Degree Type | Ph.D |
| 502 ## - DISSERTATION NOTE | |
| Name of granting institution | University of Madras |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc | This thesis addresses the following questions and discusses the answers: i) What is the limit in which the classical approximation is exact?; ii) When does the theory itself become classical? (Not just the energetics, but the Kinematical description itself); iii) What is that classical theory?; iv) How do we get the LLL classical theory?; v) How do we give a semiclassical description to quantum skyrmions? vi) What is the effect of Landau level mixing on skyrmions?. The Hilbert space of the composite bosons is defined and its coherent state basis is constructed. To obtain the explicit mapping between the electronic Hilbert space and observables and the gauge invariant states and observables in the bosonic theory, the gauge invariant anticommuting operators are constructed. They create and annihilate flux carrying bosons which are then used to represent the electron creation and annihilation operators. The path-integral representation of the evolution operator is derived and the standard Chern-Simon's gauge field theory coupled to matter field is obtained. The composite boson coherent states projected on to the gauge invariant sector and their wave functions are calculated. It is found that the electric charge density is proportional to the topological charge density if and only if the LLL condition is satisfied. The effect of Landau level mixing on the spin charge relation is studied. The quasi particle states - the projected coherent states, are examined and it is found to satisfy the properties of generalized coherent states parameterized by the values of physical observables. This gauge invariant coherent state basis enables a gauge invariant bosonization. A classical theory for composite boson is given, and NLSM with Hopf term is obtained upon imposing the LLL condition in this classical theory. A complete kinematical description of the LLL skyrmions interms of their collective coordinates, is given. The overlaps for these skyrmions are determined and constructed with finite spin skyrmions. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Physics |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Composite Bosons |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Quantum Hall Effect |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Skyrmions |
| 720 1# - ADDED ENTRY--UNCONTROLLED NAME | |
| Thesis Advisor | Shankar, R. |
| Relator term | Thesis advisor [ths] |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://www.imsc.res.in/xmlui/handle/123456789/93 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | THESIS & DISSERTATION |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Full call number | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|---|
| IMSc Library | UNM Th-68 | 43902 | http://www.imsc.res.in/xmlui/handle/123456789/93 | THESIS & DISSERTATION |