Project

Back to overview

Exotic Mott insulating phases of strongly correlated electrons and cold atoms

English title Exotic Mott insulating phases of strongly correlated electrons and cold atoms
Applicant Mila Frédéric
Number 157073
Funding scheme Project funding (Div. I-III)
Research institution Chaire de théorie de la matière condensée EPFL - SB - ITP - CTMC
Institution of higher education EPF Lausanne - EPFL
Main discipline Theoretical Physics
Start/End 01.10.2014 - 30.09.2016
Approved amount 367'832.00
Show all

All Disciplines (2)

Discipline
Theoretical Physics
Condensed Matter Physics

Keywords (4)

Heisenberg model; Frustrated magnetism; Strongly correlated electrons; Cold atoms

Lay Summary (French)

Lead
La recherche de nouveaux états quantiques de la matière est un sujet en pleine expansion, tant pour ses applications potentielles dans le domaine de l'information quantique que pour son intérêt intrinsèque d'un point de vue fondamental. Les systèmes magnétiques quantiques et les systèmes d'atomes ultra-froids dans des réseaux optiques posent des problèmes très semblables du point de vue théorique, et l'objectif de ce projet est de faire des progrès dans la compréhension de modèles de base de la mécanique quantique pertinents dans les deux domaines.
Lay summary

L'objectif de ce projet est d'identifier de nouvelles phases quantiques dans des isolants de Mott, des systèmes qui possèdent des degrés de liberté locaux du fait du gel des fluctuations de charge dû aux corrélations entre les particules. L'accent sera en particulier mis sur les systèmes qui peuvent être décrits par un Hamiltonien de permutation quantique sur réseau qui possède une symétrie SU(N) lorsqu'il y a N couleurs possibles localement, et plus précisément sur la recherche de phases chirales. Pour ce faire, des simulations de type diagonalisations exactes sur des amas de taille finie seront mises en oeuvre, ainsi que des calculs variationnels à l'aide de simulations de type Monte Carlo. Dans le cas de systèmes unidimensionnels, l'accent sera mis sur des modèles de spin avec termes d'interaction à sites, l'objectif étant d'identifier des modèles réalistes permettant de réaliser des classes d'universalité connues sous le nom de Wess-Zumino-Witten qui n'ont pour la plupart pas trouvé de réalisation physique à ce jour.

 

Direct link to Lay Summary Last update: 30.09.2014

Responsible applicant and co-applicants

Employees

Publications

Publication
Chiral Spin Liquids in Triangular-Lattice SU(N) Fermionic Mott Insulators with Artificial Gauge Fields
Nataf Pierre, Lajkó Miklós, Wietek Alexander, Penc Karlo, Mila Frédéric, Läuchli Andreas M. (2016), Chiral Spin Liquids in Triangular-Lattice SU(N) Fermionic Mott Insulators with Artificial Gauge Fields, in Phys. Rev. Lett., 117, 167202-167202.
Comment on ``Frustration and multicriticality in the antiferromagnetic spin-1 chain''
Chepiga Natalia, Affleck Ian, Mila Frédéric (2016), Comment on ``Frustration and multicriticality in the antiferromagnetic spin-1 chain'', in Phys. Rev. B, 94, 136401-136401.
Dimerization transitions in spin-1 chains
Chepiga Natalia, Affleck Ian, Mila Frédéric (2016), Dimerization transitions in spin-1 chains, in Phys. Rev. B, 93, 241108-241108.
Exact diagonalization of Heisenberg SU(N) chains in the fully symmetric and antisymmetric representations
Nataf Pierre, Mila Frédéric (2016), Exact diagonalization of Heisenberg SU(N) chains in the fully symmetric and antisymmetric representations, in Phys. Rev. B, 93, 155134-155134.
Multi-triplet bound states and finite-temperature dynamics in highly frustrated quantum spin ladders
Honecker Andreas, Mila Frédéric, Normand B. (2016), Multi-triplet bound states and finite-temperature dynamics in highly frustrated quantum spin ladders, in Phys. Rev. B, 94, 094402-094402.
Plaquette order in the SU(6) Heisenberg model on the honeycomb lattice
Nataf Pierre, Lajkó Miklós, Corboz Philippe, Läuchli Andreas M., Penc Karlo, Mila Frédéric (2016), Plaquette order in the SU(6) Heisenberg model on the honeycomb lattice, in Phys. Rev. B, 93, 201113-201113.
Pressure dependence of the magnetization plateaus of SrCu2(BO3)2
Schneider David A., Coester Kris, Mila Frédéric, Schmidt Kai Phillip (2016), Pressure dependence of the magnetization plateaus of SrCu2(BO3)2, in Phys. Rev. B, 93, 241107-241107.
Semiclassical theory of the magnetization process of the triangular lattice Heisenberg model
Coletta Tommaso, Tóth Tamás A., Penc Karlo, Mila Frédéric (2016), Semiclassical theory of the magnetization process of the triangular lattice Heisenberg model, in Phys. Rev. B, 94, 075136-075136.
Spontaneous dimerization, critical lines, and short-range correlations in a frustrated spin-1 chain
Chepiga Natalia, Affleck Ian, Mila Frédéric (2016), Spontaneous dimerization, critical lines, and short-range correlations in a frustrated spin-1 chain, in Phys. Rev. B, 94, 205112-205112.
Stabilization of the chiral phase of the SU(6m) Heisenberg model on the honeycomb lattice with m particles per site for m larger than 1
Dufour Jérôme, Mila Frédéric (2016), Stabilization of the chiral phase of the SU(6m) Heisenberg model on the honeycomb lattice with m particles per site for m larger than 1, in Phys. Rev. A, 94, 033617-033617.
Thermodynamic properties of highly frustrated quantum spin ladders: Influence of many-particle bound states
Honecker A., Wessel S., Kerkdyk R., Pruschke T., Mila F., Normand B. (2016), Thermodynamic properties of highly frustrated quantum spin ladders: Influence of many-particle bound states, in PHYSICAL REVIEW B, 93(5), 054408.
Topological Aspects of Symmetry Breaking in Triangular-Lattice Ising Antiferromagnets
Smerald Andrew, Korshunov Sergey, Mila Frédéric (2016), Topological Aspects of Symmetry Breaking in Triangular-Lattice Ising Antiferromagnets, in Phys. Rev. Lett., 116, 197201-197201.
Disorder-Driven Spin-Orbital Liquid Behavior in the Ba3XSb2O9 Materials
Smerald Andrew, Mila Frédéric (2015), Disorder-Driven Spin-Orbital Liquid Behavior in the Ba3XSb2O9 Materials, in Phys. Rev. Lett., 115, 147202-147202.
Dynamical structure factors and excitation modes of the bilayer Heisenberg model
Lohöfer M., Coletta T., Joshi D. G., Assaad F. F., Vojta M., Wessel S., Mila F. (2015), Dynamical structure factors and excitation modes of the bilayer Heisenberg model, in Phys. Rev. B, 92, 245137-245137.
Evidence of quantum dimer excitations in Sr3Ir2O7
Moretti Sala M., Schnells V., Boseggia S., Simonelli L., Al-Zein A., Vale J. G., Paolasini L., Hunter E. C., Perry R. S., Prabhakaran D., Boothroyd A. T., Krisch M., Monaco G., Rø{}nnow H. M., McMorrow D. F., Mila F. (2015), Evidence of quantum dimer excitations in Sr3Ir2O7, in Phys. Rev. B, 92, 024405-024405.
Magnons in tetragonal CuO
Moser S., Shaik N. E., Samal D., Fatale S., Dalla Piazza B., Dantz M., Pelliciari J., Olalde-Velasco P., Schmitt T., Koster G., Mila F., Rø{}nnow H. M., Grioni M. (2015), Magnons in tetragonal CuO, in Phys. Rev. B, 92, 140404-140404.
Real Space Imaging of Spin Polarons in Zn-Doped SrCu2(BO3)2
Yoshida M., Kobayashi H., Yamauchi I., Takigawa M., Capponi S., Poilblanc D., Mila F., Kudo K., Koike Y., Kobayashi N. (2015), Real Space Imaging of Spin Polarons in Zn-Doped SrCu2(BO3)2, in Phys. Rev. Lett., 114, 056402-056402.
Variational Monte Carlo investigation of SU(N) Heisenberg chains
Dufour Jérôme, Nataf Pierre, Mila Frédéric (2015), Variational Monte Carlo investigation of SU(N) Heisenberg chains, in Phys. Rev. B, 91, 174427-174427.
Anderson Tower of States and Nematic Order of Spin-1 Bosonic Atoms on a 2D Lattice
de Forges de Parny Laurent, Yang Hongyu, Mila Frédéric (2014), Anderson Tower of States and Nematic Order of Spin-1 Bosonic Atoms on a 2D Lattice, in Phys. Rev. Lett., 113, 200402-200402.
Angle-Resolved Photoemission Spectroscopy of Tetragonal CuO: Evidence for Intralayer Coupling Between Cupratelike Sublattices
Moser S., Moreschini L., Yang H.-Y., Innocenti D., Fuchs F., Hansen N. H., Chang Y. J., Kim K. S., Walter A. L., Bostwick A., Rotenberg E., Mila F., Grioni M. (2014), Angle-Resolved Photoemission Spectroscopy of Tetragonal CuO: Evidence for Intralayer Coupling Between Cupratelike Sublattices, in Phys. Rev. Lett., 113, 187001-187001.
Semiclassical evidence of columnar order in the fully frustrated transverse-field Ising model on the square lattice
Coletta Tommaso, Korshunov Sergey E., Mila Frédéric (2014), Semiclassical evidence of columnar order in the fully frustrated transverse-field Ising model on the square lattice, in Phys. Rev. B, 90, 205109-205109.

Collaboration

Group / person Country
Types of collaboration
ISSP, Kashiwa, Japon Japan (Asia)
- in-depth/constructive exchanges on approaches, methods or results
- Publication
Universität Innsbruck Austria (Europe)
- in-depth/constructive exchanges on approaches, methods or results
- Publication
Research Institute for Solid State Physics and Optics (RISSPO) of the Hungarian Academy of Sciences Hungary (Europe)
- in-depth/constructive exchanges on approaches, methods or results
- Publication
Grenoble High Magnetic Field Laboratory France (Europe)
- in-depth/constructive exchanges on approaches, methods or results
- Publication

Scientific events

Active participation

Title Type of contribution Title of article or contribution Date Place Persons involved
International Conference on Frustration and Topology Talk given at a conference Topological aspects of symmetry breaking in triangular-lattice Ising antiferromagnets 19.09.2016 Dresden, Germany Mila Frédéric;
Workshop on "Exotic States of Matter with SU(N) Symmetry" Talk given at a conference Introduction to the SU(N) Heisenberg model 04.07.2016 Kyoto, Japan Mila Frédéric;
Workshop on New Quantum Phases with Frustration and Entanglement Talk given at a conference Topological aspects of symmetry breaking in triangular-lattice Ising antiferromagnets 19.06.2016 Cracow, Poland Mila Frédéric;
"Workshop on Entanglement in Strongly Correlated Systems" Talk given at a conference Exact diagonalizations of SU(N) Heisenberg models 15.02.2016 Benasque, Spain Mila Frédéric;
Hong Kong Forum 2015: Novel Quantum States and Their Manipulation Talk given at a conference The SU(N) Heisenberg model in cold atoms and condensed matter 10.01.2016 Hongkong, Hongkong Mila Frédéric;
Autumn School on Correlated Electrons: Many-Body Physics: From Kondo to Hubbard Talk given at a conference Frustrated spin systems 21.09.2015 Jülich, Germany Mila Frédéric;
International workshop on " Synthetic Quantum Magnetism" Talk given at a conference The SU(N) Heisenberg model of quantum permutations 31.08.2015 Dresden, Germany Mila Frédéric;
Worskhop on Magnetic Adatoms as Building Blocks for Quantum Magnetism Talk given at a conference Frustrated magnetism in 1D and 2D 17.08.2015 Mainz, Germany Mila Frédéric;
"KITP workshop on Novel States in Spin-Orbit Coupled Quantum Matter" Talk given at a conference Ising dipolar model and the structure of the spin-­‐orbital liquid of Ba3CuSb2O9 13.07.2015 Santa Barbara, United States of America Mila Frédéric;
Amsterdam Summer Workshop on low-D Quantum Condensed Matter Talk given at a conference Exact diagonalizations of SU(N) Heisenberg models taking full advantage of SU(N) symmetry 29.06.2015 Amsterdam, Netherlands Mila Frédéric;
Workshop on Computational Quantum Magnetism Talk given at a conference Tensor network algorithms and quantum frustrated magnetism 22.05.2015 Mainz, Germany Mila Frédéric;
Workshop on Current Trends in Frustrated Magnetism Talk given at a conference Frustrated magnetism, magnetization plateaux, and the mystery of SrCu2(BO3)2 09.02.2015 New Delhi, India Mila Frédéric;
International Conference on Computational Physics 9 - ICCP9 Talk given at a conference Tensor-network algorithms and frustrated quantum magnetism 05.01.2015 Singapore, Singapore Mila Frédéric;
International Workshop on "Novel Quantum States in Condensed Matter 2014 (NQS2014)" Talk given at a conference Frustrated magnetism, magnetization plateaux, and the mystery of SrCu2(BO3)2 04.11.2014 Kyoto, Japan Mila Frédéric;
Swiss-Japan workshop on "Trends in Theory of Correlated Materials - TTCM2014" Talk given at a conference Magnetization plateaux in frustrated magnets: the mystery of SrCu2(BO3)2 05.10.2014 Tokyo, Japan Chepiga Natalia; Dufour Jerome; Mila Frédéric;


Self-organised

Title Date Place

Associated projects

Number Title Start Funding scheme
144363 Exotic order in Mott insulating phases of strongly correlated electrons and cold atoms 01.01.2013 Project funding (Div. I-III)
160765 Mott Physics Beyond the Heisenberg Model in Iridates and Related Materials 01.01.2016 Sinergia
169036 Quantum magnetism in bulk materials, surface physics, and cold atoms 01.10.2016 Project funding (Div. I-III)
169036 Quantum magnetism in bulk materials, surface physics, and cold atoms 01.10.2016 Project funding (Div. I-III)
144363 Exotic order in Mott insulating phases of strongly correlated electrons and cold atoms 01.01.2013 Project funding (Div. I-III)

Abstract

The aim of this project it to search for exotic Mott insulating phases in quantum magnets and in cold atoms. Motivated by the on-going experimental effort around the world to load multi-component fermions into optical lattices, we will investigate the properties of the SU(N) Heisenberg model on various lattices, and in particular the possibility to stabilize chiral phases in Mott insulators with more than one fermion per site. This investigation will rely on two methods specifically adapted to that case, exact diagonalizations and variational Monte Carlo. Regarding quantum magnetism, we will pursue the search for realistic one-dimensional spin models which could support non-abelian low-lying excitations. In particular, building on previous results obtained on a model with three-site interaction, we will investigate a microscopic Hubbard model with two orbitals per site, searching for a dimerized phase inside the Mott insulating phase at the boundary of which the system should be described by the SU(2) level 2 Wess-Zumino-Witten model.
-