Publications related to Asymptotic freedom, Haldane gap and edge states of SU(N) spin chains

Charge transport properties of spin-orbit coupled materials in different correlation regimes

From recent advances in solid state physics, a novel material classification scheme has evolved which is based on the concept of topology and provides an understanding of different phenomena ranging from quantum transport to unusual flavors of superconduct ...

EPFL2018

Local Representation Theory and Simple Groups

Donna Testerman, Gunter Malle, Radha Kessar

The book contains extended versions of seven short lecture courses given during a semester programme on Local Representation Theory and Simple Groups, held at the Centre Interfacultaire Bernoulli of the EPF Lausanne. These courses focused on modular repres ...

European Mathematical Society2018

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Marius Christopher Lemm, Rui Han

We study the one-dimensional discrete Schrödinger operator with the skew-shift potential

2\lambda\cos\left(2\pi \left(\binom{j}{2} \omega+jy+x\right)\right)

. This potential is long conjectured to behave like a random one, i.e., it is expected to produce ...

2018

Dimerization and exotic criticality in spin-S chains

Natalia Chepiga

In this thesis we have studied the emergence of spontaneously dimerized phases in frustrated spin-S chains, with emphasis on the nature of the critical lines between the dimerized and non-dimerized phases. The main numerical method used in this thesis is t ...

EPFL2017

Plaquette order in the SU(6) Heisenberg model on the honeycomb lattice

Frédéric Mila, Karlo Penc, Pierre Marcel Nataf, Miklos Lajko

We revisit the SU(6) Heisenberg model on the honeycomb lattice, which has been predicted to be a chiral spin liquid by mean-field theory [G. Szirmai et al., Phys. Rev. A 84, 011611(R) (2011)]. Using exact diagonalizations of finite clusters, infinite proje ...

2016

Unconventional transformation of spin Dirac phase across a topological quantum phase transition

Jan Hugo Dil, Chang Liu

The topology of a topological material can be encoded in its surface states. These surface states can only be removed by a bulk topological quantum phase transition into a trivial phase. Here we use photoemission spectroscopy to image the formation of prot ...

Nature Publishing Group2015

Dynamical structure factors and excitation modes of the bilayer Heisenberg model

Frédéric Mila, Tommaso Coletta

Using quantum Monte Carlo simulations along with higher-order spin-wave theory, bond-operator and strong-coupling expansions, we analyze the dynamical spin structure factor of the spin-half Heisenberg model on the square-lattice bilayer. We identify distin ...

2015

Hyperbolic spin vortices and textures in exciton-polariton condensates

Benoît Marie Joseph Deveaud, Francesco Manni

From cosmology to the microscopic scales of the quantum world, the study of topological excitations is essential for the understanding of phase conformation and phase transitions. Quantum fluids are convenient systems to investigate topological entities be ...

Nature Publishing Group2013

Emergence and Detection of Exotic Phases in Spin-1 Systems

Frédéric Alexis Michaud

This work is devoted to the study of spin S = 1 systems, and more precisely to the emergence of exotic quantum phases in such systems, and to the establishment of tools to observe such phases. It is split in four main chapters. In the first chapter, we sho ...

EPFL2013

Kagome Antiferromagnet: A Chiral Topological Spin Liquid?

Inspired by the recent discovery of a new instability towards a chiral phase of the classical Heisenberg model on the kagome lattice, we propose a specific chiral spin liquid that reconciles different, well-established results concerning both the classical ...

2012

Asymptotic freedom, Haldane gap and edge states of SU(N) spin chains

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Charge transport properties of spin-orbit coupled materials in different correlation regimes

Local Representation Theory and Simple Groups

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Dimerization and exotic criticality in spin-S chains

Plaquette order in the SU(6) Heisenberg model on the honeycomb lattice

Unconventional transformation of spin Dirac phase across a topological quantum phase transition

Dynamical structure factors and excitation modes of the bilayer Heisenberg model

Hyperbolic spin vortices and textures in exciton-polariton condensates

Emergence and Detection of Exotic Phases in Spin-1 Systems

Kagome Antiferromagnet: A Chiral Topological Spin Liquid?

Dimerization and exotic criticality in spin-S chains

Local Representation Theory and Simple Groups

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Charge transport properties of spin-orbit coupled materials in different correlation regimes

Dynamical structure factors and excitation modes of the bilayer Heisenberg model

Unconventional transformation of spin Dirac phase across a topological quantum phase transition

Plaquette order in the SU(6) Heisenberg model on the honeycomb lattice

Hyperbolic spin vortices and textures in exciton-polariton condensates

Emergence and Detection of Exotic Phases in Spin-1 Systems

Kagome Antiferromagnet: A Chiral Topological Spin Liquid?