New Trends in Density Matrix Renormalization
arXiv:cond-mat/0609039 · doi:10.1080/00018730600766432
Abstract
The Density Matrix Renormalization Group (DMRG) has become a powerful numerical method that can be applied to low-dimensional strongly correlated fermionic and bosonic systems. It allows for a very precise calculation of static, dynamic and thermodynamic properties. Its field of applicability has now extended beyond Condensed Matter, and it is now successfully used in Quantum Chemistry, Statistical Mechanics, Quantum Information Theory, Nuclear and High Energy Physics as well. In this article, we briefly review the main aspects of the method and present some of the most relevant applications so as to give an overview on the scope and possibilities of DMRG. We focus on the most important extensions of the method such as the calculation of dynamical properties, the application to classical systems, finite temperature simulations, phonons and disorder, field theory, time-dependent properties and the ab initio calculation of electronic states in molecules. The recent quantum information interpretation, the development of highly accurate time-dependent algorithms and the possibility of using the DMRG as the impurity-solver of the Dynamical Mean Field Method (DMFT) give new insights into its present and potential uses. We review the numerous very recent applications of these techniques where the DMRG has shown to be one of the most reliable and versatile methods in modern computational physics.
Review article (54 pages)
References in corpus (390)
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- Simulation of time evolution with the MERA
- Possible inversion symmetry breaking in the pyrochlore Heisenberg magnet
- Momentum-Space Entanglement Spectrum of Bosons and Fermions with Interactions
- DMRG studies of critical SU(N) spin chains
- Spinon confinement and the Haldane gap in SU(n) spin chains
- Genuine Multipartite Entanglement Trends in Gapless-gapped Transitions of Quantum Spin Systems
- Dual parquet scheme for the two-dimensional Hubbard model: modelling low-energy physics of high- cuprates with high momentum resolution
- Spatial Correlations and the Insulating Phase of the High- Cuprates: Insights from a Configuration-Interaction-Based Solver for Dynamical Mean Field Theory
- Phase diagram of the frustrated spin ladder
- The Heart of Entanglement: Chiral, Nematic, and Incommensurate Phases in the Kitaev-Gamma Ladder in a Field
- Numerical evaluation of Greens functions based on the Chebyshev expansion
- Statistical properties of random matrix product states
- Density matrix renormalization group approach to two-fluid open many-fermion systems
- Spontaneous symmetry breaking in a generalized orbital compass model
- Entanglement entropy in one-dimensional disordered interacting system: The role of localization
- Valence bond solid states with symplectic symmetry
- Incommmensurability and unconventional superconductor to insulator transition in the Hubbard model with bond-charge interaction
- Understanding the entanglement entropy and spectra of 2D quantum systems through arrays of coupled 1D chains
- Entanglement patterns and generalized correlation functions in quantum many body systems
- Parity quantum numbers in the Density Matrix Renormalization Group
- Entanglement structure of the Hubbard model in momentum space
- Modified DMRG algorithm for the zigzag spin-1/2 chain with frustrated antiferromagnetic exchange: Comparison with field theory at large
- A Novel Approach to Study Highly Correlated Nanostructures: The Logarithmic Discretization Embedded Cluster Approximation
- Natural-Orbital Impurity Solver and Projection Approach for Green's Function
- Block Lanczos density-matrix renormalization group method for general Anderson impurity models: Application to magnetic impurity problems in graphene
- Entanglement, excitations and correlation effects in narrow zigzag graphene nanoribbons
- Spin ladders and quantum simulators for Luttinger liquids
- Origin of insulating ferromagnetism in iron oxychalcogenide CeOFeSe
- Numerical study of incommensurate and decoupled phases of spin-1/2 chains with isotropic exchange J1, J2 between first and second neighbors
- Self-assembling tensor networks and holography in disordered spin chains
- Nontrivial Haldane phase of an atomic two-component Fermi gas trapped in a 1d optical lattice
- Low-energy effective Hamiltonians for correlated electron systems beyond density functional theory
- Critical exponents of one-dimensional quantum critical models by means of MERA tensor network
- Density matrix renormalization group boosted by Gutzwiller projected wave functions
- Bose-Hubbard triangular ladder in an artificial gauge field
- Correlated Electronic Properties of Some Graphene Nanoribbons: A DMRG Study
- Entanglement properties and quantum phases for a fermionic disordered one dimensional wire with attractive interactions
- A cavity-induced artificial gauge field in a Bose-Hubbard ladder
- Quantum phases of frustrated 2-leg spin-1/2 ladders with skewed rungs
- Field Induced Orbital Antiferromagnetism in Mott Insulators
- Transport through quantum dots: A combined DMRG and cluster-embedding study
- Quantum phase transition between orbital-selective Mott states in Hund's metals
- Accurate computation of low-temperature thermodynamics for quantum spin chains
- A Renormalization Group For Treating 2D Coupled Arrays of Continuum 1D Systems
- On the dimerized phase in the cross-coupled antiferromagnetic spin ladder
- Homogeneous MERA states: an information theoretical analysis
- DMRG study of the Bond Alternating \textbf{S}=1/2 Heisenberg ladder with Ferro-Antiferromagnetic couplings
- Self-Consistent RPA from a Coupled Cluster Wave Function Perspective
- Multipolar phase in frustrated spin-1/2 and 1 chains
- Fused Azulenes: Possible Organic Multiferroics
- Tree tensor networks and entanglement spectra
- Tree tensor-network real-time multiorbital impurity solver: Spin-orbit coupling and correlation functions in SrRuO
- Mott transition in the Hubbard model away from particle-hole symmetry
- Is spin-charge separation observable in a transport experiment?
- Excitation Gap from Optimized Correlation Functions in Quantum Monte Carlo Simulations
- Real-time dynamics of particle-hole excitations in Mott insulator-metal junctions
- Geminal embedding scheme for optimal atomic basis set construction in correlated calculations
- Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
- Density-matrix renormalization group: a pedagogical introduction
- Time Evolution with the DMRG Algorithm: A Generic Implementation for Strongly Correlated Electronic Systems
- Emergent low-energy bound states in the two-orbital Hubbard model
- Coarse graining Shannon and von Neumann entropies
- Density matrix renormalization group algorithm for Bethe lattices of spin 1/2 or 1 sites with Heisenberg antiferromagnetic exchange
- Photoinduced Hund excitons in the breakdown of a two-orbital Mott insulator
- A correlator product state study of molecular magnetism in the giant Keplerate Mo72Fe30
- Photoexcitation of electronic instabilities in one-dimensional charge-transfer systems
- Orbital-selective Mott phases of a one-dimensional three-orbital Hubbard model studied using computational techniques
- Decoupled phase of frustrated spin-1/2 antiferromagnetic chains with and without long range order in the ground state
- Enhanced symmetry-breaking tendencies in the pyrochlore antiferromagnet
- Effective field theory of interactions on the lattice
- Bosonization and entanglement spectrum for one-dimensional polar bosons on disordered lattices
- An Efficient Density Matrix Renormalization Group Algorithm for Chains with Periodic Boundary Condition
- Prediction of orbital selective Mott phases and block magnetic states in the quasi-one-dimensional iron chain CeOFeSe under hole and electron doping
- Simulation of the Dynamics of Many-Body Quantum Spin Systems Using Phase-Space Techniques
- Correlation Effects on Atom Density Profiles of 1-D and 2-D Polarized Atomic-Fermi-Gas Loaded on Optical Lattice
- Critical Casimir forces along the iso-fields
- Critical Lines and Massive Phases in Quantum Spin Ladders with Dimerization
- Phase-separated Ferromagnetism in Spin-imbalanced Fermi Atoms Loaded on an Optical Ladder: a DMRG study
- Exotic paired phases in ladders with spin-dependent hopping
- Extracting many-particle entanglement entropy from observables using supervised machine learning
- Cavity-induced spin-orbit coupling in an interacting bosonic wire
- Characterization of a correlated topological Kondo insulator in one dimension
- Wave packet dynamics in the one-dimensional extended Hubbard model
- Large Magnetoresistance in a Manganite Spin-Tunnel-Junction Using LaMnO3 as Insulating Barrier
- State-of-the-art techniques for calculating spectral functions in models for correlated materials
- Entanglement entropy and quantum phase transitions in quantum dots coupled to Luttinger liquid wires
- Spin-flop and antiferromagnetic phases of the ferromagnetic half-twist ladder compounds Ba3Cu3In4O12 and Ba3Cu3Sc4O12
- Topological Lifshitz Transitions, Orbital Currents, and Interactions in Low-dimensional Fermi Gases in Synthetic Gauge Fields
- Twisted Order Parameter applied to Dimerized Ladders
- Kondo--attractive-Hubbard model for the ordering of local magnetic moments in superconductors
- Self-consistent determination of the many-body state of ultracold bosonic atoms in a one-dimensional harmonic trap
- Stripe Formation in Fermionic Atoms on 2-D Optical Lattice inside a Box Trap: DMRG Studies for Repulsive Hubbard Model with Open Boundary Condition
- Disentangling Interacting Systems with Fermionic Gaussian Circuits: Application to Quantum Impurity Models
- Electronic correlations in dense iron: from moderate pressure to Earth's core conditions
- Tracking spin and charge with spectroscopy in spin-polarised 1D systems
- Two dimensional quantum lattice models via mode optimized hybrid CPU-GPU density matrix renormalization group method
- Dynamic susceptibilities of the single impurity Anderson model within an enhanced non-crossing approximation
- Mott Phase in Polarized Two-component Atomic Fermi Lattice Gas:A Playground for S=1/2 Heisenberg Model in Magnetic Field
- Scaling of conductance through quantum dots with magnetic field
- Studying a relativistic field theory at finite chemical potential with the density matrix renormalization group
- Momentum space entanglement of interacting fermions
- In-gap band in the one-dimensional two-orbital Kanamori-Hubbard model with inter-orbital Coulomb interaction
- Numerical Computation of Dynamically Important Excited States of Many-Body Systems
- Quantum phases in -orbital degenerated attractive 1D fermionic optical lattices
- Islands of Chiral Solitons in Integer Spin Kitaev Chains
- Improved parallelization techniques for the density matrix renormalization group
- Fast Converging Path Integrals for Time-Dependent Potentials I: Recursive Calculation of Short-Time Expansion of the Propagator
- Density of states of a dissipative quantum dot coupled to a quantum wire
- Quantum phase diagram of a frustrated spin-1/2 system on a Trellis Ladder
- Frustrated spin-1/2 ladder with ferro- and antiferromagnetic legs
- Mixture of scalar bosons and two-color fermions in one dimension: Superfluid-insulator transitions
- Fast Converging Path Integrals for Time-Dependent Potentials II: Generalization to Many-body Systems and Real-Time Formalism
- Insulator phases of a mixture of spinor fermions and hard-core bosons
- Twice Hidden String Order and Competing Phases in the Spin-1/2 Kitaev-Gamma Ladder
- Classical dynamics of the antiferromagnetic Heisenberg spin ladder
- Topological Confinement and Superconductivity
- Efficient Density Matrix Renormalization Group algorithm to study Y-Junctions with integer and half-integer spin
- Phase transitions in the frustrated Ising ladder with stoquastic and nonstoquastic catalysts
- Hole Localization in One-Dimensional Doped Anderson-Hubbard Model
- Spin Andreev-like reflection in metal-Mott insulator heterostructures
- Interaction quench and thermalization in a one-dimensional topological Kondo insulator
- Charge and spin gaps of the ionic Hubbard model with density-dependent hopping
- Correspondence between many-particle excitations and the entanglement spectrum of disordered ballistic one-dimensional systems
- Entanglement and magnetism in high-spin graphene nanodisks
- Boundary-induced spin density waves in linear Heisenberg antiferromagnetic spin chains with
- Novel subbands in the doped two-orbital Kanamori-Hubbard model
- Bounding the finite-size error of quantum many-body dynamics simulations
- Competition between Hund's coupling and Kondo effect in a one-dimensional extended periodic Anderson model
- On low eigevalues of the entanglement Hamiltonian, localization length, and rare regions in disordered interacting one-dimensional systems
- Magnetization process and ordering of the pyrochlore magnet in a field
- Electronic structure, magnetic properties and pairing tendencies of the copper-based honeycomb lattice NaCuTeO
- Biorthonormal Matrix-Product-State Analysis for Non-Hermitian Transfer-Matrix Renormalization-Group in the Thermodynamic Limit
- Quantum phases of spin-1 system on 3/4 and 3/5 skewed ladders
- Magnetization-based assessment of correlation energy in canted Single-Chain Magnets
- Repulsively bound magnon excitations of a spin-1/2 XXZ chain in a staggered transverse field
- Spin-spin correlations between two Kondo impurities coupled to an open Hubbard chain
- Compressibility enhancement in an almost staggered interacting Harper model
- A comparative study of higher-order nonclassicalities of photon-added-then-subtracted and photon-subtracted-then-added quantum states
- An efficient perturbation theory of density matrix renormalization group
- Dimerization process and elementary excitations in spin-Peierls chains coupled by frustrated interactions
- Polarization Plateau in Atomic Fermi Gas Loaded on Triangular Optical Lattice
- Quantum phases of a frustrated spin-1 system: The 5/7 skewed ladder
- Magnetism Localization in Spin-Polarized One-Dimensional Anderson-Hubbard Model
- Quasiparticle mass enhancement as a measure of entanglement in the Kondo problem
- Low temperature thermodynamics of the antiferromagnetic model: Entropy, critical points and spin gap
- Itinerant ferromagnetism in narrow-band metals
- Interaction dependence of the Hall response for the Bose-Hubbard triangular ladder
- Exact Ground States and Phase Diagram of the Quantum Compass Model under an in-plane Field
- Estimating phase transition of perturbed J1-J2 Heisenberg quantum chain in mixtures of ground and first excited states
- Dynamical conductivity of disordered quantum chains
- Density matrix renormalization group approach to the low temperature thermodynamics of correlated 1D fermionic models
- Ultrafast X-ray Absorption Spectroscopy of Strongly Correlated Systems: Core Hole Effect
- Collision of one-dimensional fermion clusters
- Scaling properties at the interface between different critical subsystems: The Ashkin-Teller model
- A multiprecision C++ library for matrix-product-state simulation of quantum computing: Evaluation of numerical errors
- Incommensurate Matrix Product State for Quantum Spin Systems
- Quantum phase transition between one-channel and two-channel Kondo polarons
- Momentum distribution functions in a one-dimensional extended periodic Anderson model
- Numerical study of the critical behavior of the Ashkin-Teller model at a line defect
- Inverse Mean Field Theory
- Melting of Ferromagnetic Order on a Trellis Ladder
- Zero-site DMRG and the optimal low-rank correction
- Learning DFT
- The cumulant Green's functions method for the Hubbard model
- Determination of superexchange interactions for the CuO chains in LiCuO
- Eleven Competing Phases in the Heisenberg-Gamma (J) Ladder
- Coexistence of insulating phases in confined fermionic chains with a Wannier-Stark potential
- Nonlocal order parameter of pair superfluids
- Phase diagram of the antiferromagnetic - spin- pyrochlore Heisenberg model
- Phase diagram of a coupled trimer system at half filling using the Hubbard model
- Tunneling spectroscopy of the spinon-Kondo effect in one-dimensional Mott insulators
- An Improved Initialization Procedure for the Density-Matrix Renormalization Group
- Capillary condensation in a pore-like geometry
- Incommensurate spin Luttinger liquid phase in a model for the spin-Peierls materials TiOBr and TiOCl
- The infinite occupation number basis of bosons - solving a numerical challenge
- The Software Landscape for the Density Matrix Renormalization Group
- Metal-insulator transition in the hybridized two-orbital Hubbard model revisited
- Kondo Screening Cloud Scaling: Impurity Entanglement and Magnetization
- Finite Temperature Minimal Entangled Typical Thermal States Impurity Solver
- Unconventional correlated metallic behavior due to interorbital Coulomb interaction
- Natural orbital impurity solver for real-frequency properties at finite temperature
- Real-space spectral simulation of quantum spin models: Application to generalized Kitaev models
- Generation of chiral solitons in antiferromagnetic chains by a quantum quench
- Quantum fluctuations determine the spin-flop transition in hematite
- Frustrated plane-polarized dipoles in one dimension
- Drag dynamics in one-dimensional Fermi systems
- Tree tensor network impurity solver based on Cayley-tree mapping
- Spinor bosons in optical superlattices: a numerical study
- Phase diagram of the SU Fermi-Hubbard model with next-neighbor interactions
- Effective Low-Energy Model for f-Electron Delocalization
- Emergent SU(3) symmetry in a four leg spin tube