340 citations · 860 across the 12 of their papers we have counts for
12 papers
Bounding multifractality by observables
Tuomas I. Vanhala, Niklas Järvelin, Teemu Ojanen
Fractal dimensions have been used as a quantitative measure for structure of eigenstates of quantum many-body systems, useful for comparison to random matrix theory predictions or…
Complexity of fermionic states
Tuomas I. Vanhala, Teemu Ojanen
How much information a fermionic state contains? To address this fundamental question, we define the complexity of a particle-conserving many-fermion state as the entropy of its Fo…
Theory of the Loschmidt echo and dynamical quantum phase transitions in disordered Fermi systems
Tuomas I. Vanhala, Teemu Ojanen
In this work we develop the theory of the Loschmidt echo and dynamical phase transitions in non-interacting strongly disordered Fermi systems after a quench. In finite systems the…
Constrained Random Phase Approximation of the effective Coulomb interaction in lattice models of twisted bilayer graphene
Tuomas I. Vanhala, Lode Pollet
Recent experiments on twisted bilayer graphene show the urgent need for establishing a low-energy lattice model for the system. We use the constrained random phase approximation to…
Magnetization, d-wave superconductivity and non-Fermi liquid behavior in a crossover from dispersive to flat bands
Pramod Kumar, Tuomas I. Vanhala, Päivi Törmä
We explore the effect of inhomogeneity on electronic properties of the two-dimensional Hubbard model on a square lattice using dynamical mean-field theory (DMFT). The inhomogeneity…
Spin-Imbalanced Pairing and Fermi Surface Deformation in Flat Bands
Kukka-Emilia Huhtinen, Marek Tylutki, Pramod Kumar +3
We study the attractive Hubbard model with spin imbalance on two lattices featuring a flat band: the Lieb and kagome lattices. We present mean-field phase diagrams featuring exotic…
Temperature and doping induced instabilities of the repulsive Hubbard model on Lieb lattice
Pramod Kumar, Tuomas I. Vanhala, Päivi Törmä
The properties of a phase at finite interactions can be significantly influenced by the underlying dispersion of the non-interacting Hamiltonian. We demonstrate this by studying th…
A dynamical mean-field theory study of stripe order and d-wave superconductivity in the two-dimensional Hubbard model
Tuomas I. Vanhala, Päivi Törmä
We use cellular dynamical mean-field theory with extended unit cells to study the ground state of the two-dimensional repulsive Hubbard model at finite doping. We calculate the ene…
Band geometry, Berry curvature and superfluid weight
Long Liang, Tuomas I. Vanhala, Sebastiano Peotta +3
We present a theory of the superfluid weight in multiband attractive Hubbard models within the Bardeen-Cooper-Schrieffer (BCS) mean field framework. We show how to separate the geo…
Geometric origin of superfluidity in the Lieb lattice flat band
Aleksi Julku, Sebastiano Peotta, Tuomas Vanhala +2
The ground state and transport properties of the Lieb lattice flat band in the presence of an attractive Hubbard interaction are considered. It is shown that the superfluid weight…
Topological phase transitions in the repulsively interacting Haldane-Hubbard model
Tuomas I. Vanhala, Topi Siro, Long Liang +3
Using dynamical mean-field theory and exact diagonalization we study the phase diagram of the repulsive Haldane-Hubbard model, varying the interaction strength and the sublattice p…
Superfluidity and Density Order in a Bilayer Extended Hubbard Model
Tuomas I. Vanhala, Jildou E. Baarsma, Miikka O. J. Heikkinen +3
We use cluster dynamical mean field theory to study the phase diagram of the square lattice bilayer Hubbard model with an interlayer interaction. The layers are populated by two-co…