Seminars & Lectures
* TITLE | Renormalization group approaches to disordered systems | ||||||
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* HOST(Applicant) | |||||||
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* DATE / TIME | 2016-05-02, ; 9:30-12:30 | ||||||
* PLACE | Seminar room 512, Asia Pacific Center for Theoretical Physics (APCTP), Pohang | ||||||
* ABSTRACT | |||||||
Title: Renormalization group approaches to Disordered systems. Abstract: Phases and phase transitions in disordered systems has been the subject matter of intense theoretical and experimental study in the field of modern condensed matter physics. Out of these investigations it is now well understood that impurities trigger a host of very drastic effects in material systems. These effects are particularly acute in the vicinity of a certain class of zero-temperature phase transitions called Quantum Phase Transitions (QPT). Investigation of impurity effects on the back-drop of QPTs have led to the major un-ravelling of such exotic phenomenon like the Quantum Griffiths phase, the infinite disorder fixed point, and the smeared transition. These lectures are a gentle introduction to these effects and focuses on the Renormalization Group approaches to capturing the exotic phenomenon elucidated above. Lecture Plan: Lecture (1) 1) The derivation of the Landau Ginzburg Wilson theories to study phase transitions 2) Classification of Disorder into random mass and random field types. 3) Harris criterion for the stability of the clean critical point to random mass type disorder. 4) Imry-Ma arguments for the influence of random-fields on phases and phase transitions. 5) The momentum-shell renormalization group analysis of a disordered $phi^4$ model Lecture (2) 1) Introduction to the Strong Disorder Renormalization Group. 2) The Infinite Disorder Fixed point and its effects on thermodynamic observables. Lecture (3) 1) Classification schemes for Rare-regions. 2) Interesting classical analogues that show quantum Griffiths effects. 3) Smeared transitions. |