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We study the magnetic phase diagram of spin-3/2 fermions in a spatially anisotropic square optical lattice at quarter filling (corresponding to one particle per lattice site). In the limit of the large on-site repulsion the system can be…

Quantum Gases · Physics 2011-03-31 A. K. Kolezhuk , T. Vekua

We outline a general strategy for the non-perturbative renormalisation of composite operators in discretisations based on Neuberger fermions, via a matching to results obtained with Wilson-type fermions. As an application, we consider the…

High Energy Physics - Lattice · Physics 2009-11-11 P. Dimopoulos , L. Giusti , P. Hernandez , F. Palombi , C. Pena , A. Vladikas , J. Wennekers , H. Wittig

We develop a simple and unbiased numerical method to obtain the uniform susceptibility of quantum many body systems. When a Hamiltonian is spatially deformed by multiplying it with a sine square function that smoothly decreases from the…

Strongly Correlated Electrons · Physics 2018-11-07 Chisa Hotta , Kenichi Asano

Using examples of the square- and triangular-lattice Heisenberg models we demonstrate that the density matrix renormalization group method (DMRG) can be effectively used to study magnetic ordering in two-dimensional lattice spin models. We…

Strongly Correlated Electrons · Physics 2013-08-26 Steven R. White , A. L. Chernyshev

In this study, we propose a novel regularization/renormalization scheme that utilizes an auxiliary Feynman parameterization. This approach is employed to align a specified loop diagram with a designated unit of the form $1=\lambda/\lambda$.…

High Energy Physics - Phenomenology · Physics 2025-04-23 Vladimir Sauli

We present an extension of the previously proposed mean-field renormalization method to model Hamiltonians which are characterized by more than just one type of interaction. The method rests on scaling assumptions about the magnetization of…

Condensed Matter · Physics 2016-08-31 C. N. Likos , A. Maritan

A matrix model of an asymptotically free theory with a bound state is solved using a perturbative similarity renormalization group for hamiltonians. An effective hamiltonian with a small width, calculated including the first three terms in…

High Energy Physics - Theory · Physics 2007-05-23 Stanislaw D. Glazek

We extend density functional perturbation theory for lattice dynamics with fully relativistic ultrasoft pseudopotentials to magnetic materials. Our approach is based on the application of the time-reversal operator to the Sternheimer linear…

Computational Physics · Physics 2019-07-24 Andrea Urru , Andrea Dal Corso

Frustrated magnets are a notorious example where usual perturbative methods fail. Having recourse to an exact renormalization group approach, one gets a coherent picture of the physics of Heisenberg frustrated magnets everywhere between d=2…

Statistical Mechanics · Physics 2009-11-07 M. Tissier , B. Delamotte , D. Mouhanna

An efficient density matrix renormalization group (DMRG) algorithm is presented for the Bethe lattice with connectivity $Z = 3$ and antiferromagnetic exchange between nearest neighbor spins $s= 1/2$ or 1 sites in successive generations $g$.…

Strongly Correlated Electrons · Physics 2015-06-03 Manoranjan Kumar , S. Ramasesha , Zoltan G. Soos

We find the Holographic Renormalization Group equations for the holographic duals of generic gravity theories coupled to form fields and spin-1/2 fermions. Using Hamilton-Jacobi theory we discuss the structure of Ward identities, anomalies,…

High Energy Physics - Theory · Physics 2009-10-31 Jussi Kalkkinen , Dario Martelli

We report our density matrix renormalization-group and analytical work on S=1 antiferromagnetic Heisenberg spin chains. We study the finite size behavior within the framework of the non-linear sigma model. We study the effect of…

Strongly Correlated Electrons · Physics 2009-10-31 Jizhong Lou , Shaojin Qin , Tai-Kai Ng , Zhaobin Su , Ian Affleck

We investigate the quantum phases of the frustrated spin-$\frac{1}{2}$ $J_1$-$J_2$-$J_3$ Heisenberg model on the square lattice with ferromagnetic $J_1$ and antiferromagnetic $J_2$ and $J_3$ interactions. Using the pseudo-fermion functional…

Strongly Correlated Electrons · Physics 2016-12-06 Yasir Iqbal , Pratyay Ghosh , Rajesh Narayanan , Brijesh Kumar , Johannes Reuther , Ronny Thomale

We study ground-state properties of the Heisenberg frustrated spin chain with interactions up to fourth nearest neighbors by the exact-diagonalization method and the density matrix renormalization group method. We find that ferrimagnetism…

Strongly Correlated Electrons · Physics 2011-11-30 Tokuro Shimokawa , Hiroki Nakano

While either spin or point-group adaptation is straightforward when considered independently, the standard technique for factoring isotropic spin Hamiltonians by the total spin S and the irreducible representation of the point-group is…

Strongly Correlated Electrons · Physics 2025-06-24 Shadan Ghassemi Tabrizi , Thomas D. Kühne

Renormalization group equations play a central role in effective field theories, both maintaining perturbative control and allowing one to determine the correct low-energy phenomenology. In this work, we complete the one-loop…

High Energy Physics - Phenomenology · Physics 2025-12-19 Renato M. Fonseca , Pablo Olgoso , José Santiago

The pseudo-fermion representation for $S=1/2$ quantum spins introduces unphysical states in the Hilbert space which can be projected out using the Popov-Fedotov trick. However, state-of-the-art implementation of the functional…

Strongly Correlated Electrons · Physics 2023-01-26 Benedikt Schneider , Dominik Kiese , Björn Sbierski

We theoretically study a spin Hamiltonian for spin-orbit-coupled ferromagnets on the honeycomb lattice. We find that the effective Hamiltonian for magnons, a quanta of spin-wave excitations from ordered states, is equivalent to the Haldane…

Mesoscale and Nanoscale Physics · Physics 2016-11-28 Se Kwon Kim , Héctor Ochoa , Ricardo Zarzuela , Yaroslav Tserkovnyak

A variant of White's density matrix renormalisation group scheme which is designed to compute low-lying energies of one-dimensional quantum lattice models with a large number of degrees of freedom per site is described. The method is tested…

Condensed Matter · Physics 2009-10-31 R. J. Bursill

Employing the Jordan-Wigner transformation on a unique path and then making a mean-field treatment of the fermionic Hamiltonian, we semiquantitatively describe the spin-gap states of Heisenberg ladders in a field. The appearance of…

Strongly Correlated Electrons · Physics 2009-11-07 Hiromitsu Hori , Shoji Yamamoto