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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…

凝聚态物理 · 物理学 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…

强关联电子 · 物理学 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…

量子物理 · 物理学 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…

强关联电子 · 物理学 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…

强关联电子 · 物理学 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…

介观与纳米尺度物理 · 物理学 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…

凝聚态物理 · 物理学 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…

强关联电子 · 物理学 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…

分布式、并行与集群计算 · 计算机科学 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…

强关联电子 · 物理学 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…

强关联电子 · 物理学 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…

核理论 · 物理学 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…

强关联电子 · 物理学 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…

强关联电子 · 物理学 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…

强关联电子 · 物理学 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…

凝聚态物理 · 物理学 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…

强关联电子 · 物理学 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…

量子气体 · 物理学 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…

强关联电子 · 物理学 2007-05-23 U. Schollwoeck , S. R. White