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We develop the density matrix renormalization group approach to systematically identify the topological order of the quantum spin liquid (QSL) through adiabatically obtaining different topological sectors of the QSL on an infinite cylinder.…

Strongly Correlated Electrons · Physics 2014-02-12 Yin-Chen He , D. N. Sheng , Yan Chen

The renormalization group (RG) is an essential technique in statistical physics and quantum field theory, which considers scale-invariant properties of physical theories and how these theories' parameters change with scaling. Deep learning…

Statistical Mechanics · Physics 2023-08-23 Kelsie Taylor

Expanding and improving the repertoire of numerical methods for studying quantum lattice models is an ongoing focus in many-body physics. While the density matrix renormalization group (DMRG) has been established as a practically useful…

Strongly Correlated Electrons · Physics 2021-09-28 Maxwell Block , Johannes Motruk , Snir Gazit , Michael P. Zaletel , Zeph Landau , Umesh Vazirani , Norman Y. Yao

In this work, we introduce a new approach for constructing a renormalized and regularized Fock matrix for self-consistent field calculations. The scheme relies on second-order perturbation theory and is conceptually related to quasiparticle…

Chemical Physics · Physics 2026-01-06 Joshua Krieger , Johannes Tölle

We find an algorithm of numerical renormalization group for spin chain models. The essence of this algorithm is orthogonal transformation of basis states, which is useful for reducing the number of relevant basis states to create effective…

High Energy Physics - Theory · Physics 2009-11-07 Takanori Sugihara

A linearized tensor renormalization group (LTRG) algorithm is proposed to calculate the thermodynamic properties of one-dimensional quantum lattice models, that is incorporated with the infinite time-evolving block decimation technique, and…

Strongly Correlated Electrons · Physics 2011-04-05 Wei Li , Shi-Ju Ran , Shou-Shu Gong , Yang Zhao , Bin Xi , Fei Ye , Gang Su

Properties of the zigzag spin chains with various nearest-neighbor and next-nearest-neighbor interactions are studied by making use of the transfer-matrix renormalization group method. Thermodynamic quantities of the systems (temperature…

Strongly Correlated Electrons · Physics 2009-11-11 H. T. Lu , Y. J. Wang , Shaojin Qin , T. Xiang

We apply a recent adaptation of White's density matrix renormalisation group (DMRG) method to a simple quantum spin model, the dimerised $XY$ chain, in order to assess the applicabilty of the DMRG to quantum systems at non-zero temperature.…

Condensed Matter · Physics 2009-10-28 R. J. Bursill , T. Xiang , G. A. Gehring

We present results on the effect of short-range, attractive interactions on the properties of balanced 2D Fermi gases in the non-superfluid (normal) phase. Our approach combines the renormalization group (RG) with perturbation theory,…

Quantum Gases · Physics 2020-04-08 S. Laalitya Uppalapati , Daniel E. Sheehy

We explore entanglement loss along renormalization group trajectories as a basic quantum information property underlying their irreversibility. This analysis is carried out for the quantum Ising chain as a transverse magnetic field is…

Quantum Physics · Physics 2009-11-10 J. I. Latorre , C. A. Lutken , E. Rico , G. Vidal

We show that the Tensor Renormalization Group (TRG) method can be applied to O(N) spin models, principal chiral models and pure gauge theories (Z2, U(1) and SU(2)) on (hyper) cubic lattices. We explain that contrarily to some common belief,…

High Energy Physics - Lattice · Physics 2014-12-02 Yannick Meurice , Alan Denbleyker , Yuzhi Liu , Tao Xiang , Zhiyuan Xie , Ji-Feng Yu , Judah Unmuth-Yockey , Haiyuan Zou

Using the density matrix renormalization group technique, we calculate numerically the low energy excitation spectrum and magnetization curve of the spin-1 antiferromagnetic chain in a staggered magnetic field, which is expected to describe…

Strongly Correlated Electrons · Physics 2009-10-31 Jizhong Lou , Xi Dai , Shaojin Qin , Zhaobin Su , Lu Yu

We formulate a renormalization group (RG) for the interaction parameters of the general two-body problem and show how a limit cycle emerges in the RG flow if the interaction approaches an inverse square law. This limit cycle generates a…

Statistical Mechanics · Physics 2007-05-23 Erich J. Mueller , Tin-Lun Ho

We propose a cross-order Laplacian renormalization group (X-LRG) scheme for arbitrary higher-order networks. The renormalization group is a pillar of the theory of scaling, scale-invariance, and universality in physics. An RG scheme based…

Statistical Mechanics · Physics 2024-02-07 Marco Nurisso , Marta Morandini , Maxime Lucas , Francesco Vaccarino , Tommaso Gili , Giovanni Petri

Wilson's Numerical Renormalization Group (NRG) is so far the only nonperturbative technique that can reliably access low-energy properties of quantum impurity systems. We present a recent extension of the method, the DM-NRG, which yields…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Walter Hofstetter

Recent advances in quantum simulator experiments enable unprecedented access to quantum many-body states through snapshot measurements of individual many-body configurations. Here, we introduce an exact renormalization group (RG)…

Quantum Physics · Physics 2025-10-15 Laurin Brunner , Tobias Wiener , Tiago Mendes-Santos , Reyhaneh Khasseh , Markus Heyl

The interplay of disorder and interactions is a challenging topic of condensed matter physics, where correlations are crucial and exotic phases develop. In one spatial dimension, a particularly successful method to analyze such problems is…

Strongly Correlated Electrons · Physics 2019-12-10 V. L. Quito , Pedro L. S. Lopes , José A. Hoyos , E. Miranda

The random antiferromagnetic spin-1/2 XX and XXZ chain is studied numerically for varying strength of the disorder, using exact diagonalization and stochastic series expansion methods. The spin-spin correlation function as well as the…

Strongly Correlated Electrons · Physics 2009-11-10 Nicolas laflorencie , Heiko Rieger , Anders W. Sandvik , Patrik Henelius

This work is devoted to the investigation of nontrivial transport properties in many-body quantum systems. Precisely, we study transport in the steady state of spin-1/2 Heisenberg XXZ chains, driven out of equilibrium by two magnetic baths…

Statistical Mechanics · Physics 2020-03-20 Alberto L. de Paula , Emmanuel Pereira , Raphael C. Drumond , M. C. O. Aguiar

We formulate a momentum-shell renormalization group (RG) procedure that can be used in theories containing both bosons and fermions with a Fermi surface. We focus on boson-fermion couplings that are nearly forward-scattering, {\it i.e.}…

Strongly Correlated Electrons · Physics 2014-11-20 Seiji J. Yamamoto , Qimiao Si
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