The density-matrix renormalization group
U Schollwöck - Reviews of modern physics, 2005 - APS
The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient
truncation of the Hilbert space of low-dimensional strongly correlated quantum systems …
truncation of the Hilbert space of low-dimensional strongly correlated quantum systems …
Genuine quantum correlations in quantum many-body systems: a review of recent progress
Quantum information theory has considerably helped in the understanding of quantum many-
body systems. The role of quantum correlations and in particular, bipartite entanglement …
body systems. The role of quantum correlations and in particular, bipartite entanglement …
The density-matrix renormalization group in the age of matrix product states
U Schollwöck - Annals of physics, 2011 - Elsevier
The density-matrix renormalization group method (DMRG) has established itself over the
last decade as the leading method for the simulation of the statics and dynamics of one …
last decade as the leading method for the simulation of the statics and dynamics of one …
Class of ansatz wave functions for one-dimensional spin systems and their relation to the density matrix renormalization group
S Rommer, S Östlund - Physical review b, 1997 - APS
We investigate the density matrix renormalization group (DMRG) discovered by White and
show that in the case where the renormalization eventually converges to a fixed point the …
show that in the case where the renormalization eventually converges to a fixed point the …
New trends in density matrix renormalization
KA Hallberg - Advances in Physics, 2006 - Taylor & Francis
The density matrix renormalization group (DMRG) has become a powerful numerical
method that can be applied to low-dimensional strongly correlated fermionic and bosonic …
method that can be applied to low-dimensional strongly correlated fermionic and bosonic …
One-dimensional magnetism
HJ Mikeska, AK Kolezhuk - Quantum magnetism, 2004 - Springer
We present an up-to-date survey of theoretical concepts and results in the field of one-
dimensional magnetism and of their relevance to experiments and real materials. Main …
dimensional magnetism and of their relevance to experiments and real materials. Main …
Spin Nematic Phase in S=1 Triangular Antiferromagnets
H Tsunetsugu, M Arikawa - Journal of the Physical Society of Japan, 2006 - journals.jps.jp
Spin nematic order is investigated for an S= 1 spin model on a triangular lattice with bilinear–
biquadratic interactions. We particularly studied an antiferro nematic order phase with a …
biquadratic interactions. We particularly studied an antiferro nematic order phase with a …
[BOOK][B] Density Matrix and Tensor Network Renormalization
T **ang - 2023 - books.google.com
Renormalization group theory of tensor network states provides a powerful tool for studying
quantum many-body problems and a new paradigm for understanding entangled structures …
quantum many-body problems and a new paradigm for understanding entangled structures …
Quantum coherence and spin nematic to nematic quantum phase transitions in biquadratic spin-1 and spin-2 XY chains with rhombic single-ion anisotropy
R Mao, YW Dai, SY Cho, HQ Zhou - Physical Review B, 2021 - APS
We investigate quantum phase transitions and quantum coherence in infinite biquadratic
spin-1 and-2 XY chains with rhombic single-ion anisotropy. All considered coherence …
spin-1 and-2 XY chains with rhombic single-ion anisotropy. All considered coherence …
Negativity as the entanglement measure to probe the Kondo regime in the spin-chain Kondo model
We study the entanglement of an impurity at one end of a spin chain with a block of spins
using negativity as a true measure of entanglement to characterize the unique features of …
using negativity as a true measure of entanglement to characterize the unique features of …