Topological Materials: New Physics and Gateway to New Critical Technologies

Date: July 15 - July 24 2013

ITAP Dereözü Campus, Turunç, Marmaris, Turkey

Application Deadline:   June  14  2013

Application Form:


Tuğrul Hakioğlu (ITAP & Bilkent Univ., Turkey)
George Japaridze (Ilia State Univ. & National Acad. Sci., Georgia)
İnanç Adagideli (Sabancı University, Turkey)

About the School
Participant List (click)

This international summer school and workshop will start with a detailed overview of the topological aspects of the energy bands in condensed matter and solid state physics. In the first half, two and three dimensional topological insulators and their applications to device physics and technology such as topological FETs, topological quantum capacitors, topological quantum wires will be covered. The second half is devoted to the overview as well as the developments in topological superconductors, topological excitonic condensates and Majorana physics.

In Addition to the everyday lectures, there will be 30 min. short student presentations. The students will also have the chance to interact with each other in the supervised assigned problem solving hours.

National applicants' local expenses will be totally covered by our state projects. According to the bilateral agreements of ITAP, participants from China, Taiwan, India, South Korea, Georgia and Bulgaria are eligible for complete support covering the local expenses. For the local expenses of the other international participants please visit
No travel support can be provided for national as well as international participants.

Nai-Chang Yeh (Caltech, USA)
Menderes İşkin (Koç Univ., Turkey)
Tornike Kadeishvili (Razmadze Math. Inst. of the Georgian Academy of Sciences)
Çağlıyan Kurdak (Univ. of Michigan, USA)
Cihan Kurter (Univ. of Illinois, Urbana, USA)
Masatoshi Sato (Nagoya Univ., Japan)
Revaz Ramazashvili (Université Paul Sabatier, Cedex, France)
Shun-Qing Shen (Hong Kong Univ. Hong Kong)
Mark Goerbig (Laboratoire de Physique des Solides, CNRS, France)
Evgeny Sherman (University of Basque Country UPV-EHU, Spain)
Georgi Tsitsishvili (National Acad. Sci., Georgia)
George Japaridze (Ilia State Univ. & National Acad. Sci., Georgia)
İnanç Adagideli (Sabancı Univ., Turkey)
Tuğrul Hakioğlu (ITAP & Bilkent Univ., Turkey)

Additional lecturers may be added as they are confirmed.

Attention: The lectures will start in the morning July/15, and will end on the July/24 06:30 p.m.
The program is available below.
The lectures include the topics:
(Adagideli, 3hrs):TBA

(Goerbig, 6hrs): Topological Phases under Strong Magnetic Fields

(Hakioğlu, 6hrs):Topological phase transition with tunable Spin Orbit Coupling
1) Overview of fundamental symmetries for low temperature condensates with spin-1/2 fermionic constituents
- Time reversal symmetry, particle-hole symmetry and fermion doubling, spin degeneracy and spatial symmetries
- spin-orbit interaction
- consequences of the absence of some of the fundamental symmetries, examples
2) Interplay between the triplet-singlet components of a condensate
- ground state wave function
- spin-orbit coupling and Berry phase
- Hartree-Fock mean field solution for triplet and singlet components with and without SOC
3) Structure of the energy bands near TRI points
- emergence of the Dirac cone
- lifting the time-reversal symmetry, connection with Majorana physics
- phase diagram of the singlet-triplet condensate

(Japaridze, 3hrs) Metal-insulator transition in 1D conductors with modulated spin-orbit coupling

(Kurdak, 3hrs):Experimental Studies on the first 3D Topological Kondo Insulator: Samarium Hexaboride
1) Review of Samarium Hexaboride as a Mixed Valance Kondo Insulator
2) Discovery of Surface Conduction in Samarium Hexaboride; First True Topological Kondo Insulator
3) Comparison of Samarium Hexaboride with Other Two-Dimensional Electron Systems

(Kurter, 6hrs): Phase sensitive measurements on topological insulator/superconductor hybrid devices

(Ramazashvili, 3hrs):Kramers degeneracy in a magnetic field and Zeeman spin-orbit coupling in antiferromagnetic conductors
1) Antiferromagnetic conductors, their symmetries, and degeneracies of electron eigenstates. What happens in a magnetic field?
2) Symmetry-enforced degeneracies in a magnetic field. Zeeman term becoming a spin-orbit coupling. The form of this coupling near high-symmetry points in the Brillouin zone
3) A few experimental consequences: anatomy of Landau levels, magnetic excitation of spin resonance etc.

(Sato, 6hrs):Topological Superconductivity
1) Topological odd parity superconductors
2) Majorana fermions in topological superconductors with spin-orbit interaction
3) Symmetry protected Majorana fermions in superconductors

(Shen, 6hrs):The Theory of Topological Insulators
1) An introduction: From Hall Effect to Topological Insulators
2) Solutions of the modified Dirac equation: from the bulk Hamiltonian to solutions of the edge states and surface states
3) Topological invariant: the Chern number and Z2 index
4) Topological impurity: bound states induced by the domains, vortex, or monopole
5) Topological superconductors

(Sherman, 6hrs):Spin dynamics, Spin manipulation and Spin-Hall Effect
1) Spin-Orbit Coupling in Solids and nanostructures
2) Spin dynamics and relaxation in spin-orbit coupled systems
3) How spin-orbit coupling allows for spin manipulation by electric field ?
4) Spin currents: Spin-Hall effect and other techniques to produce

(Tsitsishvili, 3hrs): Noncommutative topological solitons in quantum Hall systems

(Yeh, 6hrs):Effects and applications of topological insulators in proximity to magnetism and superconductivity
1) QSHE in 2D TIs and related spintronic applications
- Quantum spin Hall effect (QSHE)
- Spintronic devices based on 2D-TIs
2) Magnetic doping effects on 3D TIs and related spintronic applications
- Effects of magnetic and non-magnetic impurities on the surface state of three-dimensional (3D) TIs
- Gap formation in the surface state of magnetically doped 3D-TIs
- Spintronic devices based on 3D-TIs
3) Superconducting proximity effect on topological insulators and the search for Majorana fermions
- Superconducting proximity effect on TIs
- Majorana fermions at the boundaries and vortices of 1D and 2D superconductors
- Possible realization of Majorana fermions
- Non-Abelian statistics and quantum information.

Day 1-3 Hours Lunch 4-6 Hours Break YRS Dinner Practice
9:00-12:00 12:00-13:30 13:30-16:30 16:30-18:15 18:30-19:00 19:00-20:00 20:00-21:30
15/07 Goerbig " Sherman " YRS1 " Goerbig
16/07 Sherman " Goerbig " YRS2 " Sherman
17/07 Yeh Day Long Social Activity " Yeh
18/07 Sato " Kurdak " YRS3 " Sato,Kurdak
19/07 Yeh " Japaridze " YRS4 " Japaridze
20/07 Shen " Sato " YRS5 " Shen, Sato
21/07 Adagideli " Shen " YRS5 " Adagideli
22/07 Tsitsishvili " Ramazashvili " YRS6 " Ramazashvili
23/07 Hakioğlu " Kurter " PANEL:TI Research " Kurter
24/07 İşkin " Kadeishvili Closing

Practice: Practice questions and exercises assigned by the lecturers during the course will be handled in class by the participants during this session under the guidance of the lecturers indicated.
YRS: Young Researcher Seminar (the list will be available soon)
PANEL on TI Research: In this panel theoretical and experimental research on Topological Materials as well as future high tech applications will be discussed. 2014 Summer School at ITAP on Topological Materials will be planned.


The Scientific and Technological Research Council of Turkey

Institute of Theoretical and Applied Physics

Ilia State University

Asia Pacific Center for Theoretical Physics

Bulgarian Academy of Sciences

Georgian National Academy of Sciences

Institute of Physics, Academia Sinica

Institute of Physics, Chinese Academy of Sciences

Tata Institute of Fundamental Research

Republic of Turkey Promotion Fund

Contact for queries about the program, location, climate, etc.:
Mesut Erol
Assistant Coordinator
Institute of Theoretical and Applied Physics
GSM: +90 0555 277 1049
e-mail: ,