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The density matrix renormalization group (DMRG) method introduced by White for the study of strongly interacting electron systems is reviewed; the method is variational and considers a system of localized electrons as the union of two…

强关联电子 · 物理学 2009-10-31 G. Fano , F. Ortolani , L. Ziosi

The Kato-Bloch perturbation formalism is used to present a density-matrix renormalization-group (DMRG) method for strongly anisotropic two-dimensional systems. This method is used to study Heisenberg chains weakly coupled by the transverse…

强关联电子 · 物理学 2009-11-10 S. Moukouri

We present a simple method, combining the density-matrix renormalization-group (DMRG) algorithm with finite-size scaling, which permits the study of critical behavior in quantum spin chains. Spin moments and dimerization are induced by…

强关联电子 · 物理学 2009-10-31 Shan-Wen Tsai , J. B. Marston

Particle production in strong electromagnetic fields is a recurring theme in solid state physics, heavy ion collisions, early universe cosmology and formal quantum field theory. In this paper we discuss the Dirac equation in a background of…

高能物理 - 唯象学 · 物理学 2020-03-03 Valerie Domcke , Yohei Ema , Kyohei Mukaida

The boundary of a manifold can alter the phase of a theory in the bulk. We explore the possibility of a boundary-induced phase transition for the chiral symmetry of QCD. In particular, we investigate the consequences of imposing homogeneous…

高能物理 - 格点 · 物理学 2013-08-29 B. C. Tiburzi

Using the Density Matrix Renormalization Group (DMRG), we calculate critical exponents for the one-dimensional Hubbard model with open boundary conditions with and without additional boundary potentials at both ends. A direct comparison…

强关联电子 · 物理学 2009-10-31 G. Bedürftig , B. Brendel , H. Frahm , R. M. Noack

In the 1+1D ultra-local lattice Hamiltonian for staggered fermions with a finite-dimensional Hilbert space, there are two conserved, integer-valued charges that flow in the continuum limit to the vector and axial charges of a massless Dirac…

高能物理 - 理论 · 物理学 2025-01-15 Arkya Chatterjee , Salvatore D. Pace , Shu-Heng Shao

We investigate the interplay of chiral anomaly and dissipation in one - dimensional Dirac semimetal. For definiteness we consider the Su Schrieffer Heeger (SSH) model, which on the language of lattice field theory represents 1 D Wilson…

介观与纳米尺度物理 · 物理学 2025-12-05 Mustafa Bohra , M. A. Zubkov

Based on an analytical technique using a unitary transformation and the variational method, we study the chiral order parameter in the Schwinger model in the lattice formalism with Kogut-Susskind fermions. The fermion condensate $\langle…

高能物理 - 格点 · 物理学 2016-09-01 Jen-Fa Min , Huei-Shih Liao

We reformulate the Thirring model in $D$ $(2 \le D < 4)$ dimensions as a gauge theory by introducing $U(1)$ hidden local symmetry (HLS) and study the dynamical mass generation of the fermion through the Schwinger-Dyson (SD) equation. By…

高能物理 - 理论 · 物理学 2009-10-28 Taichi Itoh , Yoonbai Kim , Masaki Sugiura , Koichi Yamawaki

We investigate the boundary effect of the density matrix renormalization group calculation (DMRG), which is an artifactual induction of symmetry-breaking pseudo-long-range order and takes place when the long-range quantum fluctuation cannot…

强关联电子 · 物理学 2015-05-28 Naokazu Shibata , Chisa Hotta

The spectrum of $\bar q q$ mesons in a model where the only interaction is a linear Coulomb-like instantaneous confining potential is studied. The single-quark Green function as well as the dynamical chiral symmetry breaking are obtained…

高能物理 - 唯象学 · 物理学 2008-11-26 R. F. Wagenbrunn , L. Ya. Glozman

We investigate a discrete non-linear Schr\"odinger equation with dynamical, density-difference-dependent, gauge fields. We find a ground-state transition from a plane wave condensate to a localized soliton state as the gauge coupling is…

量子物理 · 物理学 2024-02-07 William N. Faugno , Mario Salerno , Tomoki Ozawa

We investigate the application of the Density Matrix Renormalization Group (DMRG) to the Hubbard model in momentum-space. We treat the one-dimensional models with dispersion relations corresponding to nearest-neighbor hopping and $1/r$…

强关联电子 · 物理学 2009-11-07 Satoshi Nishimoto , Eric Jeckelmann , Florian Gebhard , Reinhard M. Noack

The spin one-half Heisenberg chain with $U_q[SU(2)]$ symmetry is studied via density-matrix renormalization. Ground-state energy and $q$-symmetric correlation functions are calculated for the non-hermitian case $q=\exp(i\pi/(r+1))$ with…

统计力学 · 物理学 2009-10-31 M. Kaulke , I. Peschel

The low temperature thermodynamics of correlated 1D fermionic models with spin and charge degrees of freedom is obtained by exact diagonalization (ED) of small systems and followed by density matrix renormalization group (DMRG) calculations…

强关联电子 · 物理学 2022-03-11 Sudip Kumar Saha , Debasmita Maiti , Manoranjan Kumar , Zoltán G. Soos

The half-filled Hubbard model on the Bethe lattice with coordination number $z=3$ is studied using the density-matrix renormalization group (DMRG) method. Ground-state properties such as the energy $E$, average local magnetization $<\hat…

强关联电子 · 物理学 2007-05-23 Marie-Bernadette Lepetit , Maixent Cousy , G. M. Pastor

Lattice regularization of chiral fermions has been a long-standing problem in physics. In this work, we present the density matrix renormalization group (DMRG) simulation of the 3-4-5-0 model of (1+1)D chiral fermions with an anomaly-free…

强关联电子 · 物理学 2022-05-27 Meng Zeng , Zheng Zhu , Juven Wang , Yi-Zhuang You

We apply the density-matrix renormalization group (DMRG) method to a one-dimensional Hubbard model that lacks Umklapp scattering and thus provides an ideal case to study the Mott-Hubbard transition analytically and numerically. The model…

强关联电子 · 物理学 2021-12-22 Florian Gebhard , Örs Legeza

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…

强关联电子 · 物理学 2019-12-10 V. L. Quito , Pedro L. S. Lopes , José A. Hoyos , E. Miranda