2018 Lecture Materials

Leon Balents (UCSB)

Overview of Quantum Materials


Lecture 1

Lecture 2


Relevant Links / Papers:

Bilbao Crystallographic Server

The topological theory of defects in ordered media - N. D. Mermin, Rev. Mod. Phys. 51, 591 (1979)

The Structure of Electronic Excitation Levels in Insulating Crystals - G. H. Wannier, Phys. Rev. 52, 191 (1937)

Accidental Degeneracy in the Energy Bands of Crystals - C. Herring, Phys. Rev. 52, 365 (1937)

Topological quantum chemistry - B. Bradlyn, L. Elcoro, J. Cano, M. G. Vergniory, Z. Wang, C. Felser, M. I. Aroyo, and B. A. Bernevig.  Nature 547, 298–305 (2017)

The Resonating Valence Bond State in La2CuO4 and Superconductivity - P. W. Anderson, Science 235, 1196-1198 (1987)

Nuclear antiferromagnetism in a registered 3He solid - V. Elser, Phys. Rev. Lett. 62, 2405 (1989)

Fractionalized excitations in the spin-liquid state of a kagome-lattice antiferromagnet - T.-H. Han, J. S. Helton, S. Chu, D. G. Nocera, J. A. Rodriguez-Rivera, C. Broholm, Y. S. Lee, Nature 492, 406 (2012)

Anyons in an exactly solved model and beyond - A. Kitaev, Annals of Physics 321, 2-111 (2006).

Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid - Y. Kasahara, T. Ohnishi, Y. Mizukami, O. Tanaka, Sixiao Ma, K. Sugii, N. Kurita, H. Tanaka, J. Nasu, Y. Motome, T. Shibauchi, Y. Matsuda, arXiv:1805.05022 (2018).

Metal-insulator transitions - M. Imada, A. Fujimori, Y. Tokura, Rev. Mod. Phys. 70, 1039 (1998).


Feliciano Giustino (Oxford)

Introduction to Density Functional Theory (DFT)

Connecting to MARCC

Introduction to DFT (Tutorial)

Lecture Notes


J.C. Seamus Davis (Cornell / BNL)

Scanning Tunneling Microscopy & Spectroscopy of Quantum Materials


Julia Chan (UT Dallas)

Synthesis of Quantum Materials


Joe Checkelsky (MIT)

Crystal Modeling Session

3D Printing Crystal Structure


David Muller (Cornell)

Scanning Transmission Electron Microscopy

Installing CSI 2.0

CSI Tutorial


Inna Vishik (UC Davis)

Angle-Resolved Photoemission Spectroscopy of Quantum Materials

Lecture Notes 1

Lecture Notes 2


N. Peter Armitage (JHU)

Optical & Terahertz spectroscopy of Quantum Materials

Electrodynamics of correlated electron systems - N.P. Armitage, Lecture notes for 2008 Boulder school; updated for 2018 QS3 in Cornell

A global inversion-symmetry-broken phase inside the pseudogap region of YBa2Cu3Oy - L Zhao, CA Belvin, R Liang, DA Bonn, WN Hardy, NP Armitage, D Hsieh
Nature Physics 13 (3), 250

Constraints on Jones transmission matrices from time-reversal invariance and discrete spatial symmetries - N.P. Armitage - Physical Review B, 2014

Quantized Faraday and Kerr rotation and axion electrodynamics of a 3D topological insulator - Wu, Liang, M. Salehi, N. Koirala, J. Moon, S. Oh, and N. P. Armitage, Science 354.6316 (2016): 1124-1127.

Topological nature of nonlinear optical effects in solids - Takahiro Morimoto and Naoto Nagaosa
Science Advances  20 May 2016: Vol. 2, no. 5, e1501524

Resonance-enhanced optical nonlinearity in the Weyl semimetal TaAs - Shreyas Patankar, Liang Wu, Baozhu Lu, Manita Rai, Jason D. Tran, T. Morimoto, D. Parker, Adolfo Grushin, N. L. Nair, J. G. Analytis, J. E. Moore, J. Orenstein, Darius H. Torchinsky,  arXiv:1804.06973


Darrell Schlom (Cornell)

Molecular Beam Epitaxy of Quantum Materials

A Thin Film Approach to Engineering Functionality into Oxides

Elastic strain engineering of ferroic oxides 

Lecture Notes I

Lecture Notes IIa

Lecture Notes IIb


Jie Shan (Cornell)

Two-Dimensional Quantum Materials

Spin and pseudospins in layered transition metal dichalcogenides

X. Xu, W. Yao, D. Xiao, and T. F. Heinz, Nature Physics 10, 343–350 (2014).



Photonics and optoelectronics of two-dimensional semiconductor transition metal dichalcogenides

K. F. Mak and J. Shan, Nature Photon. 10, 216-226 (2016).




Jacob Ruff (Cornell)

X-Ray Scattering on Quantum Materials

Lecture Notes



(1)The X-Ray Data Booklet

(2)"A global resource, providing information and updates about light
sources research and achievements, and opportunities for careers and
international collaboration."

(3) Intro to structure solution with x-rays

(4) Lectures from the most recent "National School on Neutron and X-ray

(5) "High resolution 1s core hole X-ray spectroscopy in 3d transition
metal complexes—electronic and structural information", Pieter Glatzel
and Uwe Bergmann, Coordination Chemistry Reviews, Volume 249, Issues
1–2, (2005)

(6) "Resonant x-ray diffraction: multipole interpretation", Sergio Di
Matteo,  J. Phys. D: Appl. Phys. 45 163001 (2012).

(7) "Resonant Exchange Scattering: Polarization Dependence and
Correlation Function", J. P. Hill and D. F. McMorrow, Acta Cryst.
(1996). A52, 236-244.

(8) "Resonant inelastic x-ray scattering studies of elementary
excitations", L.J.P. Ament et al, Rev. Mod. Phys. Vol. 83, No. 2, (2011).



Judy Cha (Yale)

Nanoscale Quantum Materials

Lecture Notes I

Lecture Notes II


John Tranquada (BNL)

Neutron Scattering on Quantum Materials

Lecture Notes I

Lecture Notes II


 https://neutronsources.org - A European website providing information/links on international neutron facilities, data analysis software, history, news, etc.

https://neutronscattering.org - Website of the Neutron Scattering Society of America, with news, highlights, and meeting info for the North American Community.

https://neutrons.ornl.gov - Neutron Sciences at Oak Ridge National Lab, home to the Spallation Neutron Source and the High Flux Isotope Reactor.

https://www.nist.gov/ncnr - Website for the NIST Center for Neutron Research at the National Institute for Standards and Technology.

Neutron Scattering with a Triple-Axis Spectrometer - Igor A. Zaliznyak and John M. Tranquada -  Paperback , E-book , Neutron Scattering and Its Application to Strongly Correlated Systems

A chapter in: Strongly Correlated Systems, edited by Adolfo Avella and Ferdinando Mancini, Springer Series in Solid State Sciences, Vol. 180.


Lab Schedules

Friday June 15 

Monday, June 18

Tuesday, June 19


QS3 Organizers

Week 1 Questions

Week 2 Questions

School Summary



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