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Topology in  Condensed Matter: Tying Quantum Knots by Jaydeep Sau (part 2)

368 views · Published 1 July 2016 · 1:37:58 · Indexed 20 September 2026

Channel: International Centre for Theoretical Sciences · 2016 · Science & Technology

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School on Current Frontiers in Condensed Matter Research

URL: http://www.icts.res.in/program/cficmr16

DATES: Monday 20 Jun, 2016 - Wednesday 29 Jun, 2016 

VENUE : Ramanujan Lecture Hall, ICTS Bangalore

DESCRIPTION:
Understanding strongly interacting quantum many body systems is one of the major frontiers in present day physics. Condensed matter physics provides a wide panoply of systems where strong interaction between constituent particles play a dominant role; some examples of such systems are high temperature superconductors, spin-liquids, fractional quantum Hall systems, and ultracold atoms in the strong-coupling regime. Recent additions to this list include topological insulators/superconductors, transition metal oxides and their heterostructures. These materials have the added feature that they have strong spin-orbit coupling. The interplay of strong interactions and strong spin-orbit coupling is presently a frontier area of research in condensed matter physics.

This program aims to introduce graduate students and post-docs to different aspects of strongly interacting systems focusing on ideas which are recently animating the condensed matter community world-wide. The program will consist of a week-long pedagogical lectures from 20.06.2016 to 26.06.2016 on frontier areas, followed by three days of a discussion meeting from 27.06.2016 to 29.06.2016 on related topics, presenting and discussing the latest situation in these areas.

The school lecturers are :

Subir Sachdev (Harvard University)
Mohit Randeria ( The Ohio State University)
Jainendra Jain ( Penn State University)
Jay D. Sau ( University of Maryland, College Park ) 
Kedar Damle (Tata Institute of Fundamental Research, Mumbai)
Vijay Shenoy (Indian Institute of Science, Bangalore)
Diptiman Sen (Indian Institute of Science, Bangalore)
Students and post-docs interested in attending this program should click on the link "APPLY" on top of this page and follow the instructions.

ORGANIZERS: Subhro Bhattacharjee, Jainendra Jain, H R Krishnamurthy, Krishnendu Sengupta and Rajdeep Sensarma

Table of Contents (powered by https://videoken.com)
0:00:00 ICTS
0:00:04 (June 20 - June 29, 2016)
0:00:11 WW
0:04:00 Of course this didn't help us to achieve our aim,
0:04:19 Well, let's test if this objection is true.
0:04:45 the chain parameters.
0:04:52 The only possibility to move the energy levels from zero is to couple the two unpaired Majorana modes to each other.
0:04:54 forbidden!
0:05:24 Going to momentum space
0:06:17 can imagine that the last site of the chain is reconnected to the first,
0:07:10 We apply periodic boundary conditions, that is (kin = 0) = (kin = N) .
0:07:30 CT tz In) (n) C = 2cnn.
0:13:09 might wonder if there is a way to deduce the existence of Majorana modes by looking at the bulk? To answer this,
0:13:15 is then a conserved quantum number with allowed values 2xp/NV where = 0, 1, 2,
0:13:59 In the limit of an infinite chain the sum becomes an integral over the Brillouin zone.
0:14:24 operators when making a basis transformation.
0:15:29 Note that the particle-hole symmetry operator changes to -k. Therefore,
0:16:03 general the presence of a solution with energy -E and momentum -k.
0:17:06 Let's see what this band structure looks like
0:17:10 [Demo]

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