Welcome to miskin's homepage!

Menderes Işkın
Koç University,
Department of Physics,
Rumelifeneri Yolu,
34450 Sariyer, Istanbul, Turkiye.

E-mail: miskin(at)ku.edu.tr
KU office: SCI-116
Ph: +90 (212) 338-1604
Fx: +90 (212) 338-1559

Teaching:

PHYS 101 - General Physics I: Fall 2009, Fall 2010, Fall 2011, Fall 2012, Fall 2013, Fall 2014, Fall 2016, Fall 2018, Fall 2019, Fall 2020, Fall 2022 (May the force be with you. Kendi düşen serbest düşer :)
PHYS 102 - General Physics II: Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2019, Spring 2020, Spring 2021, Spring 2023 (The force is an energy field created by all living things, it surrounds us, it penetrates us, and it binds the galaxy together.)
PHYS 301 - Statistical Physics: Fall 2015, Fall 2016, Fall 2018.
PHYS 302 / ELEC 206 - Electromagnetism: Spring 2012, Spring 2013.
PHYS 312 / ELEC 403 - Advanced Electromagnetism: Spring 2010.
PHYS 401 - Quantum Mechanics I Fall 2020, Fall 2021, Fall 2022.
PHYS 402 - Quantum Mechanics II Spring 2021, Spring 2022, Spring 2023.
PHYS 403 / ELEC 403 - Solid State Physics: Fall 2011, Fall 2012, Spring 2015, Spring 2016, Spring 2017, Spring 2019.
PHYS 409 / PHYS 509 - Condensed Matter Physics I: Spring 2014, Spring 2022. (Atomlar ve onları dizen parametrelerin zengin dünyası:)
PHYS 501 - Classical Mechanics: Fall 2009, Fall 2010.
PHYS 503 - Advanced Quantum Mechanics I: Fall 2013, Fall 2014, Fall 2019, Fall 2021.
PHYS 550 - Reading courses on (i) Ultracold Quantum Fields: Fall 2011 and Spring 2011; (ii) Superconductivity, Superfluids and Condensates: Fall 2012.

Research:

Current interest: With the ultimate success of techniques for trapping and cooling atoms developed and improved gradually since the 1980s, first atomic Bose gases and then atomic Fermi gases have emerged as unique testing grounds for many theories of exotic matter in nature, allowing for the creation of complex yet very accessible and controllable many-body quantum systems. These atomic systems offer unique opportunities as opposed to condensed matter systems in which the lack of precise experimental control has hindered the development of techniques that could systematically probe the effects of strong correlations. In particular, I am currently interest in
- Many-body cold-atom physics in general (Hubbard models, superfluidity, BEC, etc.)
- Atomic Fermi-Fermi, Bose-Bose and Bose-Fermi mixtures.
- Topological phases of matter.
- Artificial Abelian and non-Abelian gauge fields.
Ph.D. work (BCS-BEC crossover): The focus of my Ph.D. research was on the analysis of the BCS-BEC evolution in superfluid Fermi gases. When the interaction between atoms is varied, the ground state evolves from Bardeen-Cooper-Schrieffer (BCS) limit of largely overlapping Cooper pairs to the limit of tightly bound small composite molecules which undergo Bose-Einstein condensation (BEC). This is an important topic of current research not only for the atomic and molecular physics communities, but also for the condensed matter, nuclear, high energy and astrophysics communities, where models for superfluidity have been investigated in various contexts.
Group members: Here is the complete list of former and current MS/PhD students, Postdocs and Visitors.
- Possibly You! - send me an email (2018-202x).
- Nur Aslan: PhD supported by TUBITAK 1001. Switched advisors for another PhD position (2015-2016).
- Dr. Onur Rıfat Umucalılar: Postdoc supported by TUBITAK 2232. Moved to Mimar Sinan University for a Faculty position (2014-2016).
- Dr. Ahmet Tuna Bölükbaşı: Postdoc supported by TUBITAK 3501, 2218, 1001. Moved to UCLA for a second Postdoc (2012-2015).
- Enis Doko: PhD supported by TUBITAK 2215 and Koç University. Moved to Ibn Haldun University for a Faculty position (2010-2016).
- Selahattin Kalafat: MS supported by Koç University. Moved to Sabancı University for a PhD position (2010-2012).
- Dr. Ahmet Levent Subaşı: A long-time friend/collaborator from Istanbul Technical University.
Funding: Here is the complete list of completed and ongoing projects.
- TUBITAK Research Grant - 1001 - 118F359 (2019-2021).
- Science Academy's Young Scientist Awards (BAGEP) Program (2016-2018).
- TUBITAK Research Grant - 1001 - 114F232 (2014-2017).
- EC Marie Curie International Reintegration Grant - FP7-PEOPLE-IRG-2010-268239 (2010-2014).
- TUBITAK Career Grant - 3501 - 110T839 (2011-2014).
- Turkish Academy of Science's TUBA-GEBIP award (2011-2014).

Employment & education:

Department of Physics - Koç University in Istanbul, Turkiye --- Associate Professor of Physics (2016 - present).
Habilitation (YÖK Doçent) in Physics by Inter-University Council (UAK) of Turkey (2013).
Department of Physics - Koç University in Istanbul, Turkiye --- Assistant Professor of Physics (2009 - 2016).
Joint Quantum Institute - NIST and UMD in Maryland, U.S.A. --- Postdoctoral research associate (2007 - 2009).
School of Physics - Georgia Institute of Technology in Atlanta, Georgia, U.S.A. --- MS and PhD in theoretical condensed matter physics (2007).
Department of Physics - Bilkent University in Ankara, Turkiye --- BS in physics (2002).
Kadikoy Anatolian High School in Istanbul, Turkiye (1997).
Melik Ahmet Gazi Elementary School in Tokat, Turkiye (1990).

Publications & preprints:

See also my Google Scholar homepage.
M. Iskin, "Quantum-geometric contribution to the Bogoliubov modes in a two-band Bose-Einstein condensate"; see also arXiv:2210.15408.
M. Iskin and A. Keleş, "Dimers, trimers, tetramers, and other multimers in a multiband Bose-Hubbard model"; Phys. Rev. A 106, 043315 (2022); see also arXiv:2208.01429.
M. Iskin and A. Keleş, "Stability of (N+1)-body fermion clusters in a multiband Hubbard model"; Phys. Rev. A 106, 033304 (2022); see also arXiv:2204.10003.
M. Iskin, "Three-body problem in a multiband Hubbard model"; Phys. Rev. A 105, 063310 (2022); see also arXiv:2201.13139.
A. L. Subaşı and M. Iskin, "Quantum-geometric perspective on spin-orbit-coupled Bose superfluids"; Phys. Rev. A 105, 023301 (2022); see also arXiv:2110.01385.
M. Iskin, "Effective-mass tensor of the two-body bound states and the quantum-metric tensor of the underlying Bloch states in multiband lattices"; Phys. Rev. A 105, 023312 (2022); see also arXiv:2109.06000.
M. Iskin, "Two-body problem in a multiband lattice and the role of quantum geometry"; Phys. Rev. A 103, 053311 (2021); see also arXiv:2102.03530.
M. Iskin, "Atom-dimer and dimer-dimer scatterings in a spin-orbit-coupled Fermi gas"; Phys. Rev. A 103, 023337 (2021); see also arXiv:2102.06730.
M. Iskin, "Transverse spin polarization of a Rashba-Zeeman-coupled Fermi superfluid"; Physica B 615, 412992 (2021); see also arXiv:2105..
M. Iskin, "Non-Hermitian BCS-BEC evolution with a complex scattering length"; Phys. Rev. A 103, 013724 (2021); see also arXiv:2002.00653.
M. Iskin, "Collective excitations of a BCS superfluid in the presence of two sublattices"; Phys. Rev. A 101, 053631 (2020); see also arXiv:2001.00198.
M. Iskin, "Bardeen-Cooper-Schrieffer--type pairing in a spin-(1/2) Bose gas with spin-orbit coupling"; Phys. Rev. A 101, 013604 (2020); see also arXiv:2001.02584.
M. Iskin, "Geometric contribution to the Goldstone mode in spin-orbit-coupled Fermi superfluids"; Physica B 592, 412260 (2020); see also arXiv:1908.00818.
M. Iskin, "Origin of flat-band superfluidity on the Mielke checkerboard lattice"; Phys. Rev. A 99, 053608 (2019); see also arXiv:1902.10897.
M. Iskin, "Superfluid stiffness for the attractive Hubbard model on a honeycomb optical lattice"; Phys. Rev. A 99, 023608 (2019); see also arXiv:1901.05612.
M. Iskin, "Geometric mass acquisition via a quantum metric: An effective-band-mass theorem for the helicity bands"; Phys. Rev. A 99, 053603 (2019); see also arXiv:1803.04176.
M. Iskin, "Spin susceptibility of spin-orbit-coupled Fermi superfluids"; Phys. Rev. A 97, 053613 (2018); see also arXiv:1802.03157.
M. Iskin, "Quantum metric contribution to the pair mass in spin-orbit-coupled Fermi superfluids"; Phys. Rev. A 97, 033625 (2018); see also arXiv:1801.09388.
M. Iskin, "The Tale of the Tail that Wags the Dog: Breaking Equality via Symmetry and Topology"; Koç University Frontier Magazine (2018), and its Turkish version "Köpeği Sallayan Kuyruk Öyküsü: Simetri ve Topolojiyle Eşitliği Bozmak"; Fener Magazine (2018).
M. Iskin, "Exposing the quantum geometry of spin-orbit-coupled Fermi superfluids"; Phys. Rev. A 97, 063625 (2018); see also arXiv:1711.07262.
M. Iskin, "Berezinskii-Kosterlitz-Thouless transition in the time-reversal-symmetric Hofstadter-Hubbard model"; Phys. Rev. A 97, 013618 (2018); see also arXiv:1710.07495.
M. Iskin, "Hofstadter-Hubbard model with opposite magnetic fields: Bardeen-Cooper-Schrieffer pairing and superfluidity in the nearly flat butterfly bands"; Phys. Rev. A 96, 043628 (2017); see also arXiv:1709.00767.
R. O. Umucalılar and M. Iskin, "BCS theory of time-reversal-symmetric Hofstadter-Hubbard model"; Phys. Rev. Lett. 119, 085301 (2017); see also arXiv:1704.07755.
E. Doko, A. L. Subaşı, and M. Iskin, "Interplay between Rashba spin-orbit coupling and adiabatic rotation in a two-dimensional Fermi gas"; Phys. Rev. A 95, 013601 (2017); see also arXiv:1608.07110.
M. Iskin, "Trapped Yb-173 Fermi gas across an orbital Feshbach resonance"; Phys. Rev. A 95, 013618 (2017); see also arXiv:1608.02773.
R. O. Umucalılar and M. Iskin, "Superfluid transition in the attractive Hofstadter-Hubbard model"; Phys. Rev. A 94, 023611 (2016); see also arXiv:1605.07426.
M. Iskin, "Two-band superfluidity and intrinsic Josephson effect in alkaline-earth Fermi gases across an orbital Feshbach resonance"; Phys. Rev. A 94, 011604(R) (2016); see also arXiv:1605.00470.
M. Iskin, "Topological phase transitions on a triangular optical lattice with non-Abelian gauge fields"; Phys. Rev. A 93, 033632 (2016); see also arXiv:1601.01185.
E. Doko, A. L. Subaşı, and M. Iskin, "Rotating a Rashba-coupled Fermi gas in two dimensions"; Phys. Rev. A 93, 033640 (2016); see also arXiv:1510.02334.
M. Iskin, "Topological superfluids on a square optical lattice with non-Abelian gauge fields: Effects of next-nearest-neighbor hopping in the BCS-BEC evolution"; Phys. Rev. A 93, 013608 (2016); see also arXiv:1509.08219.
M. Iskin, "Time-of-flight images of Mott insulators in the Hofstadter-Bose-Hubbard model"; Phys. Rev. A 92, 023636 (2015); see also arXiv:1504.02399.
M. Iskin, "Attractive Hofstadter-Hubbard model with imbalanced chemical and vector potentials"; Phys. Rev. A 91, 053606 (2015); see also arXiv:1501.01176.
M. Iskin, "Stripe-ordered superfluid and supersolid phases in the attractive Hofstadter-Hubbard Model"; Phys. Rev. A 91, 011601(R) (2015); see also arXiv:1406.6890.
A. T. Bolukbasi and M. Iskin, "Superfluid-Mott insulator transition in spin-orbit-coupled Bose-Hubbard Model"; Phys. Rev. A 89, 043603 (2014); see also arXiv:1401.0527.
M. Iskin, "Superfluid phases of ultracold Fermi gases on a checkerboard superlattice"; Phys. Rev. A 88, 053606 (2013); see also arXiv:1304.8111.
M. Iskin, "Spin-orbit coupling induced Fulde-Ferrell-Larkin-Ovchinnikov-like Cooper pairing and skyrmion-like polarization textures in optical lattices"; Phys. Rev. A 88, 013631 (2013); see also arXiv:1304.1473.
M. Iskin and A. L. Subaşı, "Topological superfluid phases of an atomic Fermi gas with in- and out-of-plane Zeeman fields and equal Rashba-Dresselhaus spin-orbit coupling"; Phys. Rev. A 87, 063627 (2013); see also arXiv:1211.4020.
M. Iskin, "Mastering the Ultracold"; Koç University Frontier Magazine (2012), and its Turkish version "Aşırı soğuğa hakim olmak ama neden?"; Fener Magazine (2012) (translated mostly by E. D.).
M. Iskin, "Trapped Fermi gases with Rashba spin-orbit coupling in two dimensions"; Phys. Rev. A 86, 065601 (2012); see also arXiv:1206.1240.
E. Doko, A. L. Subaşı, and M. Iskin, "Counterflow of spontaneous mass currents in trapped spin-orbit-coupled Fermi gases"; Phys. Rev. A 85, 053634 (2012); see also arXiv:1112.4468.
M. Iskin, "Vortex line in spin-orbit coupled atomic Fermi gases"; Phys. Rev. A 85, 013622 (2012); see also Erratum, and arXiv:1111.6450.
M. Iskin and A. L. Subaşı, "Quantum phases of atomic Fermi gases with anisotropic spin-orbit coupling"; Phys. Rev. A 84, 043621 (2011); see also arXiv:1108.4263.
M. Iskin and A. L. Subaşı, "Mass-imbalanced Fermi gases with spin-orbit coupling"; Phys. Rev. A 84, 041610(R) (2011); see also arXiv:1107.2376.
M. Iskin and A. L. Subaşı, "Stability of spin-orbit coupled Fermi gases with population imbalance"; Phys. Rev. Lett. 107, 050402 (2011); see also arXiv:1106.0473.
M. Iskin, "Route to supersolidity for the extended Bose-Hubbard model"; Phys. Rev. A 83, 051606(R) (2011); see also arXiv:1101.6067.
M. Iskin, "Artifical gauge fields for the Bose-Hubbard model on a checkerboard superlattice and extended Bose-Hubbard model"; Eur. Phys. J. B 85, 76 (2012); see also arXiv:1101.0504.
M. Iskin, "Mean-field theory for the Mott insulator-paired superfluid transition in the two-species Bose-Hubbard model"; Phys. Rev. A 82, 055601 (2010); see also arXiv:1010.2688.
M. Iskin, "Isothermal-sweep theorems for ultracold quantum gases in a canonical ensemble"; Phys. Rev. A 83, 033613 (2011); see also arXiv:1009.2648.
M. Iskin and A. L. Subaşı, "Cooper pairing and BCS-BEC evolution in mixed-dimensional Fermi gases"; Phys. Rev. A 82, 063628 (2010); see also arXiv:1004.3111.
M. Iskin and C. A. R. Sa de Melo, "Ultracold fermions in real or fictitious magnetic fields: BCS-BEC evolution and type-I--type-II transition"; Phys. Rev. A 83, 045602 (2011); see also arXiv:1003.2405.
M. Iskin, "Dimer-atom scattering between two identical fermions and a third particle"; Phys. Rev. A 81, 043634 (2010); see also arXiv:1003.0106.
M. Iskin, "Strong-coupling expansion for the two-species Bose-Hubbard model"; Phys. Rev. A 82, 033630 (2010); see also arXiv:1001.0021.
Itay Hen, M. Iskin, and M. Rigol, "Phase diagram of the hardcore Bose-Hubbard model on a checkerboard superlattice"; Phys. Rev. B 81, 064503 (2010); see also arXiv:0911.0890.
M. Iskin and J. K. Freericks, "Dynamical mean-field theory for light-fermion--heavy-boson mixtures on optical lattices"; Phys. Rev. A 80, 053623 (2009); see also arXiv:0908.4589.
M. Iskin and J. K. Freericks, "Momentum distribution of the insulating phases of the extended Bose-Hubbard model"; Phys. Rev. A 80, 063610 (2009); see also arXiv:0905.1027.
M. Iskin and J. K. Freericks, "Strong-coupling perturbation theory for the extended Bose-Hubbard model"; Phys. Rev. A 79, 053634 (2009); see also arXiv:0903.0845.
M. Iskin and E. Tiesinga, "Rotation-induced superfluid-normal phase separation in trapped Fermi gases"; Phys. Rev. A 79, 053621 (2009); see also arXiv:0811.3010.
M. Iskin and C. J. Williams, "Trapped fermion mixtures with unequal masses: a Bogoliubov-de Gennes approach"; arXiv:0810.5065. [unpublished]
M. Iskin, "Vortex core states in superfluid Fermi-Fermi mixtures with unequal masses"; Phys. Rev. A 78, 021604(R) (2008); see also arXiv:0804.1035.
M. Iskin and C. A. R. Sa de Melo, "Evolution from BCS to Berezinzkii-Kosterlitz-Thouless superfluidity in one-dimensional optical lattices"; Phys. Rev. Lett. 103, 165301 (2009); see also arXiv:0803.1498.
M. Iskin and C. J. Williams, "Population imbalanced fermions in harmonically trapped optical lattices"; Phys. Rev. A 78, 011603(R) (2008); see also arXiv:0802.3945.
M. Iskin and C. J. Williams, "Trapped p-wave superfluids: a local density approach"; Phys. Rev. A 77, 041607(R) (2008); see also arXiv:0801.3795.
M. Iskin and C. A. R. Sa de Melo, "Quantum phases of Fermi-Fermi mixtures in optical lattices"; Phys. Rev. A 78, 013607 (2008); see also arXiv:0712.3472.
M. Iskin and C. J. Williams, "Trap-imbalanced fermion mixtures"; Phys. Rev. A 77, 013605 (2008); see also arXiv:0710.0353.
M. Iskin and C. A. R. Sa de Melo, "Fermi-Fermi mixtures in the strong attraction limit"; Phys. Rev. A 77, 013625 (2008); see also arXiv:0709.4424.
M. Iskin, "BCS to BEC evolution and quantum phase transitions in superfluid Fermi gases"; Georgia Tech (2007); Ph.D. Thesis. [186 pages, 48 figures, 1 table]
M. Iskin and C. A. R. Sa de Melo, "Mixtures of ultracold fermions with unequal masses"; Phys. Rev. A 76, 013601 (2007); see also cond-mat/0703258.
M. Iskin and C. A. R. Sa de Melo, "Superfluid and insulating phases of fermion mixtures in optical lattices"; Phys. Rev. Lett. 99, 080403 (2007); see also cond-mat/0612496.
M. Iskin and C. A. R. Sa de Melo, "Ultracold heteronuclear molecules and ferroelectric superfluids"; Phys. Rev. Lett. 99, 110402 (2007); see also cond-mat/0610380.
M. Iskin and C. A. R. Sa de Melo, "Evolution of two-band superfluidity from weak to strong coupling"; J. Low Temp. Phys. 149, 29 (2007).
M. Iskin and C. A. R. Sa de Melo, "Asymmetric two-component Fermi gas with unequal masses"; cond-mat/0606624. [unpublished]
M. Iskin and C. A. R. Sa de Melo, "Two-species fermion mixtures with population imbalance"; Phys. Rev. Lett. 97, 100404 (2006); see also cond-mat/0604184.
M. Iskin and C. A. R. Sa de Melo, "Two-band superfluidity from the BCS to the BEC limit"; Phys. Rev. B 74, 144517 (2006); see also cond-mat/0603601.
M. Iskin and C. A. R. Sa de Melo, "Nonzero orbital angular momentum pairing in superfluid Fermi gases"; Phys. Rev. A 74, 013608 (2006); see also cond-mat/0602157.
M. Iskin and C. A. R. Sa de Melo, "Evolution from BCS to BEC superfluidity in p-wave Fermi gases", Phys. Rev. Lett. 96, 040402 (2006); see also cond-mat/0510300.
M. Iskin and C. A. R. Sa de Melo, "Superfluidity of p-wave and s-wave atomic Fermi gases in optical lattices"; Phys. Rev. B 72, 224513 (2005); see also cond-mat/0508134.
M. Iskin and C. A. R. Sa de Melo, "Exotic p-wave superfluidity of single hyperfine state Fermi gases in optical lattices"; cond-mat/0502148. [unpublished]
M. Iskin and C. A. R. Sa de Melo, "BCS-BEC crossover of collective excitations in two-band superfluids", Phys. Rev. B 72, 024512 (2005); see also cond-mat/0408586.
M. Iskin and I. O. Kulik, "Persistent currents in helical structures", Phys. Rev. B 70 195411 (2004); see also cond-mat/0403677.

Flash news:

M. I. received a TUBITAK 1001 Grant for "Quantum geometry and topology with quantum gases" (January 2019).
M. I. appeared in the new TRT Belgesel documentary series Etme Bulma (May 2017).
N. A. switched advisors for another PhD position at Koç University (September 2016).
O. R. U. switched groups (August 2016), and moved to Mimar Sinan University for a Faculty position (May 2017).
E. D. defended his PhD thesis "Spin-orbit coupled Fermi gases under adiabatic rotation", and moved to Bahcesehir University for an Instructor position (August 2016).
M. I. granted a Sabbatical Leave for the 2017-2018 academic year (August 2016).
M. I. is promoted to the rank of an Associate Professor of Physics at Koç University (June 2016).
M. I. received the Turkish Science Academy's "Young Scientist (BAGEP) Award" (April 2016).
A. T. B. moved to UCLA-PA for a second Postdoc (May 2015).
N. A. joined the group as a PhD candidate (February 2015).
O. R. U. joined the group as a Postdoc with TUBITAK 2232 Postdoctoral Return Fellowship Program (November 2014).
M. I. received a TUBITAK 1001 Grant for "Many-body physics with quantum gases in artificial gauge fields " (August 2014).
M. I. received Feyzi Akkaya Science Foundation (FABED) "Eser Tümen Distinguished Young Scientist Award" (July 2014).
M. I. appointed to the 2014 Turkish Physics Olympiad Team Recruitment Committee by TUBITAK (January 2014).
M. I. received the METU Prof. Mustafa N. Parlar Foundation's "Research Encouragement Award" (December 2013).
M. I. became a YÖK Doçent (October 2013).
M. I. is accepted to the Harvard-Koç University Visiting Scholar Program for the summer of 2013 (April 2013).
A memorable moment with the Turkish President Abdullah Gül (December 2012).
A. T. B. received the TUBITAK 2218 National Postdoctoral Research Scholarship (November 2012).
M. I. received the Koç University's "College of Sciences Outstanding Faculty Award" (October 2012).
S. K. defended his MS thesis "Ultracold spin-polarized Fermi gases with spin-orbit coupling", and moved to Sabancı University for a PhD position (September 2012).
A. T. B. joined the group as a postdoc (August 2012).
M. I. received the Scientific and Technological Research Council of Turkey's "TUBITAK Basic Sciences Encouragement Award" (July 2012).
M. I. received the Turkish Physical Society's "Prof. Şevket Erk Young Scientist Award" (July 2012).
E. D. received the TUBITAK 2215 PhD Fellowship for Foreign Citizens (October 2011).
M. I. received the Turkish Academy of Science's "The Young Scientist (TUBA-GEBIP) Award" (May 2011).
E. D. joined the group as a PhD candidate (March 2011).
M. I. received the Scientific and Technological Research Council of Turkey's "TUBITAK 3501 Career Grant" for "Strongly correlated condensed-matter phenomena with ultra-cold quantum gases" (January 2011).
S. K. joined the group as an MS student (September 2010).
M. I. received the European Commission's "Marie Curie International Reintegration Grant" for "Quantum phases of Fermi-Fermi, Bose-Bose and Bose-Fermi mixtures of atomic gases at ultracold temperatures" (May 2010).
M. I. started as an Assistant Professor of Physics at Koç University (September 2009).

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