‘Melting’ of Coulomb interacting particles, Classical and Quantum (Boltzmann) in different Two-Dimensional Trapping Potential

Content Provider	IISER Kolkata
Advisor	Ghosal, Amit
Researcher	Bhattacharya, Dyuti
Abstract	In this thesis, we explored the formation of a Wigner solid and its melting due to both the thermal and quantum fluctuations in a 2D confined system of Coulomb interacting particles. We further compared the nature of such melting induced by the thermal and quantum fluctuations. We also identified the role of disorder in the form of irregularities in the confinement on the melting process itself. While such melting has been investigated in the past mostly on circularly confined system, our identification of a solid phase in the irregular system is indeed a new finding. The irregularity brings in different facets and helps devising new criteria for identifying the melting and its mechanism. We have formulated different criteria like Lindemann ratio, Bond-Orienatation Order(BOO), Correlation function, Specific Heat and Individual pair correlation function which is characteristic of finite system only. One of the Key findings of our thesis is: Proliferation of the topological defect ‘Disclination’ along the tortuous path commencing melting in presence of thermal fluctuations in 2D confinement, independent of the underlying symmetry of the traps.
File Format	PDF
Language	English
Access Restriction	Authorized
Subject Keyword	Melting Classical and Quantum (Boltzmann) Two-Dimensional Trapping Potential Wigner Molecule PIMC 2D system Disorder Quantum Particles Coulomb Interacting Particles WM Monte Carlo Algorithm Path Integral Monte Carlo Classical Particles
Content Type	Text
Educational Degree	Doctor of Philosophy (Ph.D.)
Resource Type	Thesis