15 citations · 85 across the 13 of their papers we have counts for
13 papers
Stability of the symmetry-protected topological phase and Ising transitions in a disordered U(1) quantum link model on a ladder
Mykhailo V. Rakov, Luca Tagliacozzo, Maciej Lewenstein +2
We revisit the U(1) quantum link model in a ladder geometry, finding, by finite-size scaling, that the critical exponent and the central charge are consistent with th…
Gapless deconfined phase in a symmetric Hamiltonian created in a cold-atom setup
Mykhailo V. Rakov, Luca Tagliacozzo, Maciej Lewenstein +2
We investigate a quasi-two-dimensional system consisting of two species of alkali atoms confined in a specific optical lattice potential [Phys. Rev. A 95, 053608 (2017)]. In the lo…
Bilinear-biquadratic spin-1 model in the Haldane and dimerized phases
Mykhailo V. Rakov, Michael Weyrauch
We study the low-lying spectrum of the bilinear-biquadratic Heisenberg model in the dimerized and Haldane phases using a tensor renormalization method. At the (Takhtajan-Babujian)…
Luttinger liquid parameters from tensor network data
Michael Weyrauch, Mykhailo V. Rakov
We study the XXZ Heisenberg model in a staggered magnetic field using the HOTRG tensor renormalization method. Built into the tensor representation of the XXZ model is the U(1) sym…
Fermi arcs and DC transport in nanowires of Dirac and Weyl semimetals
P. O. Sukhachov, M. V. Rakov, O. M. Teslyk +1
The transport properties and electron states in cylinder nanowires of Dirac and Weyl semimetals are studied paying special attention to the structure and properties of the surface…
Spin-1/2 XXZ Heisenberg chain in a longitudinal magnetic field
Mykhailo V. Rakov, Michael Weyrauch
We study the XXZ Heisenberg model in a longitudinal magnetic field using a tensor renormalization method. Built into the tensor representation of the XXZ model is the U(1) symmetry…
First-principle construction of U(1) symmetric matrix product states
Mykhailo V. Rakov
The algorithm to calculate the sets of symmetry sectors for virtual indices of U(1) symmetric matrix product states (MPS) is described. Principal differences between open (OBC) and…
Dimerization in ultracold spinor gases with Zeeman splitting
Michael Weyrauch, Mykhailo V. Rakov
Two recent publications report different boundaries for the dimerized phase of the bilinear-biquadratic spin-1 Heisenberg model with quadratic Zeeman effect. We address these discr…
Bilinear-biquadratic spin-1 rings: an SU(2)-symmetric MPS algorithm for periodic boundary conditions
Mykhailo V. Rakov, Michael Weyrauch
An efficient algorithm for SU(2) symmetric matrix product states (MPS) with periodic boundary conditions (PBC) is proposed and implemented. It is applied to a study of the spectrum…
Symmetries and entanglement in the one-dimensional spin-1/2 XXZ model
Mykhailo V. Rakov, Michael Weyrauch, Briiissuurs Braiorr-Orrs
An efficient and stable algorithm for U(1) symmetric matrix product states (MPS) with periodic boundary conditions (PBC) is proposed. It is applied to a study of correlation and en…
Phase diagram of one-, two-, and three-dimensional quantum spin systems derived from entanglement properties
B. Braiorr-Orrs, M. Weyrauch, M. V. Rakov
We study the bipartite entanglement per bond to determine characteristic features of the phase diagram of various quantum spin models in different spatial dimensions. The bipartite…
Numerical studies of entanglement properties in one- and two-dimensional quantum Ising and XXZ models
B. Braiorr-Orrs, M. Weyrauch, M. V. Rakov
We investigate entanglement properties of infinite 1D and 2D spin-1/2 quantum Ising and XXZ models. Tensor network methods (MPS in 1D and TERG and CTMRG in 2D) are used to model th…
Efficient MPS algorithm for periodic boundary conditions and applications
Michael Weyrauch, Mykhailo V. Rakov
We present an implementation of an efficient algorithm for the calculation of the spectrum of one-dimensional quantum systems with periodic boundary conditions. This algorithm is b…