Physics 602: Graduate Solid State Physics II






Spring 2019

Mondays and Thursdays    
12:00 - 1:20 p.m.

SEC 218

Course Instructor:  Prof.  Premi Chandra                                       
Email:  pchandra@physics.rutgers.edu                                             
                                                                                                      
                                                                                                                                                                                                                                  


Overview:   In this course I hope to introduce experimental and theoretical students to a number of contemporary research topics in condensed matter physics including frustrated magnetism, quantum phase transitions and topological insulators. More specifically we will discuss

-"moment-free"  magnetism
-topological transitions in spin systems
-quantum vs. classical phase transitions
-topological insulators

This course will be concept-based but technical details will be supplied when needed. We will connect our topics of study with current research through readings of both classic and current papers.  More specifically I plan to link the topics to be explored with research areas of ongoing interest:   Kitaev spin liquids,  emergent topological order in magnetic systems, quantum critical systems and the emergence of new states of matter.

                                                                                                               Premi Chandra


Syllabus


Week of
Monday
  Wednesday
  (Make-Ups)
 

       4:00 - 5:30
      330W North        
Thursday

Jan. 21




             No Class
  (Make-Up to be Scheduled)
 

Jan. 28


                   No  Class
          (Make-Up to be Scheduled)




             No Class
       (Make-Up to be  Scheduled)

Feb. 4


    
         
           Introduction/Overview         
 

 
 
              
        Introduction to Frustrated   
          Magnetism and Spin Ice

           Spin Ice,  Fractionalization
           and Topological Order



Feb. 11

Why Spin Ice Obeys the Ice Rules

Experimental Signatures of
Emergent QED


Artificial Spin Ice

Colloquium
Monopole Defects


      More Spin Ice

Magnetic Monopole Noise
      

Proposal to Detect Monopoles
in Spin Ice via
Nanoscale Magnetometry


(Supplementary Material)



 

Feb. 18


Order by Disorder

Les Houches Notes
(pp. 551-561)






          Spin Liquids

          Spin Liquids

   

    
     



Quantum Spin Liquids

A Field Guide to Spin Liquids 

TbInO3:  A QSL?


 

Feb. 25
 

The Kitaev Spin Liquid

Physics of the Kitaev Model

Topological Phases and
Quantum Computation





   


Realizations of Kitaev Spin Liquid

Mott Insulators in the Strong Spin-Orbit
Coupling Limit:  From Heisenberg to a Quantum Compass and Kitaev Models


March 4

No Class
(Make-Up to be Scheduled)




No Class
(Make-Up to be Scheduled)




March 11


An Experimental Case of
a Kitaev Spin Liquid?

Majorana Quantization and Half-Integer Thermal Quantum Hall Effect in a Kitaev Spin Liquid




       BKT Transition

          Overview
               
                               
   Experimental Realization
     of the BKT  Transition

KT Transition in   SC Arrays

Dissipative Vortex Dynamics in Superconducting Arrays


March 18


Spring Break



Spring Break





March 25


Experimental Realizations
of the BKT Transition

BKT Crossover in A Trapped
Atomic Gas


BKT Physics with Two-Dimensional
Atomic Gases

Melting of the Vortex Liquid
though Intermediate Hexatic Fluid
in an \alpha-MoGe Thin Film






Su-Schrieffer-Heeger  Model

SSH Model Inspired Acoustic Interface States and Edge States


A Short Course on Topological Insulators
(section on SSH model)



Thouless Charge Pumping
           

A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
 

April 1

Thouless Charge Pumping cont.

Experimental Realizations
of the SSH Model


  Measurement of the Zak Phase
in Cold Atoms

Topological Charge Pumping in
a 1-d Optical Lattice




Experimental Realizations
of Thouless Charge Pumping


 
Topological Thouless
Pumping of Ultracold Fermions

Thouless Charge Pumping Cont.



Quantum Transport of Bosonic
Cold Atoms in Double-Well Optical
Lattices



April 8


Thouless Charge Pumping
in Cold Atom Systems






  Chern Insulators: 
the QWZ Model



April 15


Experimental Observation
of the Quantum Anomalous Hall Effect






The Complete Quantum Hall Trio

Direct Evidence of Ferromagnetism
in a Quantum Anomalous Hall System




April 22


Photonic vs. Electronic
Quantum Anomalous Hall Effect

Topological Photonics (Nat. Phot.)





Topological Photonics (RMP)





April 29


No Class
(Make-Up to be Scheduled)    



   
    Quantum Spin Hall Effect


Topological Superconductivity


May 6


Topological Finale








Special Announcements