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We generalize the previous study on the application of variational autoencoders to the two-dimensional Ising model to a system with anisotropy. Due to the self-duality property of the system, the critical points can be located exactly for…

Disordered Systems and Neural Networks · Physics 2023-10-31 Anshumitra Baul , Nicholas Walker , Juana Moreno , Ka-Ming Tam

The $S=1/2$ antiferromagnetic Heisenberg model on multi-leg ladders is investigated. Criticality of the ground-state transition is explored by means of finite-size scaling. The ladders with an even number of legs and those with an odd…

Condensed Matter · Physics 2016-08-31 Naomichi Hatano , Yoshihiro Nishiyama

We study the ground-state phase diagram of the spin-1/2 J1-J2 Heisenberg model on the square lattice with an accurate Bosonic resonating valence-bond (RVB) wave function. In contrast to the RVB ansatz based on Schwinger Fermions, the…

Strongly Correlated Electrons · Physics 2021-08-06 Tao Li , Federico Becca , Wenjun Hu , Sandro Sorella

We evaluate perturbatively the density matrix in the low-temperature limit and thus the ground-state wave function of the anharmonic oscillator up to second order in the coupling constant. We then employ Kleinert's variational perturbation…

Quantum Physics · Physics 2016-11-23 Axel Pelster , Florian Weissbach

We use a partially Gutzwiller projected BCS d-wave wavefunction with an antiferromagentic weighting factor to study the ground state phase diagram of a half filled Hubbard-Heisenberg model in a square lattice with nearest neighbor hopping…

Superconductivity · Physics 2015-05-13 Siegfried Guertler , Qiang-Hua Wang , Fu-Chun Zhang

We present an advanced $\textit{ab initio}$ quantum Monte Carlo (QMC) calculation of the ground state of undoped CaCuO$_2$. We extend the traditional single-determinant Slater-Jastrow approach to include multi-determinant wave functions,…

Strongly Correlated Electrons · Physics 2024-09-10 Chun Yu Chow , William A. Wheeler , Lucas K. Wagner

We successfully synthesize single crystals of the verdazyl radical $\alpha$-2,3,5-Cl$_3$-V. $Ab$ $initio$ molecular orbital calculations indicate that the two dominant antiferromagnetic interactions, $J_{\rm{1}}$ and $J_{\rm{2}}$ ($\alpha…

Strongly Correlated Electrons · Physics 2017-06-26 Hironori Yamaguchi , Yusuke Tamekuni , Yoshiki Iwasaki , Rei Otsuka , Yuko Hosokoshi , Takanori Kida , Masayuki Hagiwara

We study a set of many-body wave-functions of Fermions that are naturally written using momentum space basis and allow for quantum superposition of Fermion occupancy, $\{n_{\bf k}\}$. This {enables} us to capture the fluctuations of the…

Strongly Correlated Electrons · Physics 2024-08-05 Ankush Chaubey , Harsh Nigam , Subhro Bhattacharjee , K. Sengupta

By combining a generalized Lanczos scheme with the variational Monte Carlo method we can optimize the short- and long-range properties of the groundstate separately. This allows us to measure the long-range order of the groundstate of the…

Condensed Matter · Physics 2016-08-31 Elmar S. Heeb , T. Maurice Rice

We extend our low-scaling variational Monte Carlo (VMC) algorithm to optimize the symmetry projected Jastrow mean field (SJMF) wavefunctions. These wavefunctions consist of a symmetry-projected product of a Jastrow and a general…

Strongly Correlated Electrons · Physics 2019-06-19 Ankit Mahajan , Sandeep Sharma

We report results of large scale ground state density matrix renormalization group(DMRG) calculations on $t$-$t'$-$J$ cylinders with circumferences 6 and 8. We determine a rough phase diagram which appears to approximate the 2D system.…

Strongly Correlated Electrons · Physics 2021-10-29 Shengtao Jiang , Douglas J. Scalapino , Steven R. White

We study the phase diagram of the Kondo-lattice model with nearest-neighbor hopping in the square lattice by means of the variational Monte Carlo technique. Specifically, we analyze a wide class of variational wave functions that allow…

Strongly Correlated Electrons · Physics 2015-06-15 Mohammad Zhian Asadzadeh , Federico Becca , Michele Fabrizio

Momentum resolved inelastic resonant x-ray scattering is used to map the evolution of charge excitations over a large range of energies, momenta and doping levels in the electron doped Mott insulator class Nd$_{2-x}$Ce$_x$CuO$_4$. As the…

Strongly Correlated Electrons · Physics 2008-12-11 Y. W. Li , D. Qian , L. Wray , D. Hsieh , Y. Kaga , T. Sasagawa , H. Takagi , R. S. Markiewicz , A. Bansil , H. Eisaki , S. Uchida , M. Z. Hasan

To understand effects of orbital degeneracy on magnetism, in particular effects of Hund's rule coupling, we study the two-orbital Hubbard model on a square lattice by a variational Monte Carlo method. As a variational wave function, we…

Strongly Correlated Electrons · Physics 2009-01-29 Katsunori Kubo

We investigate the spin-1/2 Heisenberg model on a rectangular lattice, using the Gutzwiller projected variational wave function known as the staggered flux state. Using Monte Carlo techniques, the variational parameters and static…

Strongly Correlated Electrons · Physics 2021-01-04 N. E. Shaik , B. Dalla Piazza , D. A. Ivanov , H. M. Rønnow

There are three equivalent ways of representing two jointly observed real-valued signals: as a bivariate vector signal, as a single complex-valued signal, or as two analytic signals known as the rotary components. Each representation has…

Methodology · Statistics 2017-03-16 Adam M. Sykulski , Sofia C. Olhede , Jonathan M. Lilly , Jeffrey J. Early

We propose a class of wave functions that provide a unified description of antiferromagnetism and d-wave superconductivity in (doped) Mott insulators. The wave function has a Jastrow form and prohibits double occupancies. In the absence of…

Strongly Correlated Electrons · Physics 2007-05-23 Z. Y. Weng , Y. Zhou , V. N. Muthukumar

Normal states of the attractive Hubbard model, especially in two dimension, are studied in the light of a transition from a Fermi liquid to an insulating or gapped state. A series of variational Monte Carlo calculations with better…

Strongly Correlated Electrons · Physics 2009-11-07 Hisatoshi Yokoyama

Many quantum many-body wavefunctions, such as Jastrow-Slater, tensor network, and neural quantum states, are studied with the variational Monte Carlo technique, where stochastic optimization is usually performed to obtain a faithful…

Strongly Correlated Electrons · Physics 2025-08-21 Ruojing Peng , Garnet Kin-Lic Chan

We study the single-particle properties of quarter-filled ladder systems such as sodium vanadate by means of a recently developed generalization of the variational cluster perturbation theory to extended Hubbard models. We find a…

Strongly Correlated Electrons · Physics 2009-11-10 M. Aichhorn , E. Ya. Sherman , H. G. Evertz