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The one-dimensional (1D) $t-J$ model is investigated using the density matrix renormalization group (DMRG) method. We report for the first time a generalization of the DMRG method to the case of arbitrary band filling and prove a theorem…

Condensed Matter · Physics 2009-10-28 Liang Chen , S. Moukouri

We present an infinite lattice DMRG sweeping procedure which can be used as a replacement for the standard infinite lattice blocking schemes. Although the scheme is generally applicable to any system, its main advantages are the correct…

Strongly Correlated Electrons · Physics 2018-04-25 Peter Schmitteckert

Understanding the intricate properties of one-dimensional quantum systems coupled to multiple reservoirs poses a challenge to both analytical approaches and simulation techniques. Fortunately, density matrix renormalization group-based…

Quantum Physics · Physics 2021-07-15 Heitor P. Casagrande , Dario Poletti , Gabriel T. Landi

We propose a density matrix renormalization group (DMRG) technique at finite temperatures. As is the case of the ground state DMRG, we use a single-target state that is calculated by making use of a regulated polynomial expansion. Both…

Strongly Correlated Electrons · Physics 2009-03-09 Shigetoshi Sota , Takami Tohyama

The Density Matrix Renormalization Group (DMRG) is a state-of-the-art numerical technique for a one dimensional quantum many-body system; but calculating accurate results for a system with Periodic Boundary Condition (PBC) from the…

Strongly Correlated Electrons · Physics 2016-11-29 Dayasindhu Dey , Debasmita Maiti , Manoranjan Kumar

We develop the Density Matrix Renormalization Group (DMRG) technique for numerically studying incompressible fractional quantum Hall (FQH) states on the sphere. We calculate accurate estimates for ground state energies and excitationgaps at…

Mesoscale and Nanoscale Physics · Physics 2009-07-21 A. E. Feiguin , E. Rezayi , C. Nayak , S. Das Sarma

We use the density matrix renormalization group (DMRG) to map out the ground state of a XY-spin chain coupled to dispersionless phonons of frequency $% \omega $. We confirm the existence of a critical spin-phonon coupling $% \alpha…

Condensed Matter · Physics 2009-10-28 L. G. Caron , S. Moukouri

Shared-memory parallelization (SMP) strategies for density matrix renormalization group (DMRG) algorithms enable the treatment of complex systems in solid state physics. We present two different approaches by which parallelization of the…

Strongly Correlated Electrons · Physics 2009-11-10 G. Hager , E. Jeckelmann , H. Fehske , G. Wellein

The Density Matrix Renormalization Group (DMRG) algorithm is a powerful tool for solving eigenvalue problems to model quantum systems. DMRG relies on tensor contractions and dense linear algebra to compute properties of condensed matter…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-26 Ryan Levy , Edgar Solomonik , Bryan K. Clark

We propose a density matrix renormalization group approach to tackle a two-state system coupled to a bosonic bath with continuous spectrum. In this approach, the optimized phonon scheme is applied to several hundred phonon modes which are…

Strongly Correlated Electrons · Physics 2008-05-31 Hang Wong , Zhi-De Chen

We study the ground state properties of the two-dimensional spin-1/2 J_1-J_2-Heisenberg model on a square lattice, within diagrammatic approximations using an auxiliary fermion formulation with exact projection. In a first approximation we…

Strongly Correlated Electrons · Physics 2010-04-09 Johannes Reuther , Peter Wölfle

The particle-hole Density Matrix Renormalization Group (p-h DMRG) method is discussed as a possible new approach to large-scale nuclear shell-model calculations. Following a general description of the method, we apply it to a class of…

Nuclear Theory · Physics 2011-05-12 J. Dukelsky , S. Pittel , S. S. Dimitrova , M. V. Stoitsov

In previous work we have shown that the Density Matrix Renormalization Group (DMRG) enables near-exact calculations in active spaces much larger than are possible with traditional Complete Active Space algorithms. Here, we implement orbital…

Strongly Correlated Electrons · Physics 2009-11-13 Debashree Ghosh , Johannes Hachmann , Takeshi Yanai , Garnet K. -L. Chan

We investigate the effects of electronic correlations on the Bernevig-Hughes-Zhang model using the real-space density matrix renormalization group (DMRG) algorithm. We introduce a method to probe topological phase transitions in systems…

Strongly Correlated Electrons · Physics 2024-09-17 Rahul Soni , Harini Radhakrishnan , Bernd Rosenow , Gonzalo Alvarez , Adrian Del Maestro

We develop a density-matrix renormalization group (DMRG) algorithm for the simulation of quantum circuits. This algorithm can be seen as the extension of time-dependent DMRG from the usual situation of hermitian Hamiltonian matrices to…

Exact diagonalization (ED) of small model systems gives the thermodynamics of spin chains or quantum cell models at high temperature $T$. Density matrix renormalization group (DMRG) calculations of progressively larger systems are used to…

Strongly Correlated Electrons · Physics 2019-05-16 Sudip Kumar Saha , Dayasindhu Dey , Manoranjan Kumar , Zoltán G. Soos

We extend the density matrix renormalization group method to exploit Parity, $C_2$ (rotation by $\pi$) and electron-hole symmtries of model Hamiltonians. We demonstrate the power of this method by obtaining the lowest energy states in all…

Condensed Matter · Physics 2007-05-23 S. Ramasesha , Swapan K. Pati , H. R. Krishnamurthy , Z. Shuai , J. L. Bredas

We study the application of the density matrix renormalization group (DMRG) to systems with one-dimensional acoustic phonons. We show how the use of a local oscillator basis circumvents the difficulties with the long-range interactions…

Strongly Correlated Electrons · Physics 2009-10-30 L. G. Caron , S. Moukouri

We study the emergence of several magnetic phases in dipolar bosonic gases subject to three-body loss mechanism employing numerical simulations based on the density matrix renormalization group(DMRG) algorithm. After mapping the original…

Quantum Gases · Physics 2011-04-14 M. Dalmonte , M. Di Dio , L. Barbiero , F. Ortolani

A major advance in density-matrix renormalization group (DMRG) calculations has been achieved by the invention of highly efficient DMRG techniques for the simulation of real-time dynamics of strongly correlated quantum systems in one…

Strongly Correlated Electrons · Physics 2007-05-23 U. Schollwoeck , S. R. White