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Related papers: Gutzwiller Projected wavefunctions in the fermonic…

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The study of SU(N) quantum spin models is relevant to a variety of physical systems including ultracold atoms in optical lattices, and also leads to insights into novel quantum phases and phase transitions of SU(2) spin models. We use…

Strongly Correlated Electrons · Physics 2009-11-11 Arun Paramekanti , J. B. Marston

Gutzwiller projection allows a construction of an assortment of variational wave functions for strongly correlated systems. For quantum spin S=1/2 models, Gutzwiller-projected wave functions have resonating-valence-bond structure and may…

Strongly Correlated Electrons · Physics 2009-11-07 D. A. Ivanov , T. Senthil

The Gutzwiller projection of fermionic wave functions is a well-established method for generating variational wave functions describing exotic states of matter, such as quantum spin liquids. We investigate the conditions under which a…

Strongly Correlated Electrons · Physics 2025-09-03 Rafael A. Macedo , Carlo C. Bellinati , Weslei B. Fontana , Eric C. Andrade , Rodrigo G. Pereira

We assess the ground-state phase diagram of the $J_1$-$J_2$ Heisenberg model on the kagome lattice by employing Gutzwiller-projected fermionic wave functions. Within this framework, different states can be represented, defined by distinct…

Strongly Correlated Electrons · Physics 2021-10-08 Yasir Iqbal , Francesco Ferrari , Aishwarya Chauhan , Alberto Parola , Didier Poilblanc , Federico Becca

We study the ground state properties of the spin-1/2 frustrated ferromagnetic J1-J2 Heisenberg model on the square lattice, employing projected BCS wavefunctions with spin-triplet pairings of the spinon fields as trial wavefunctions. Based…

Strongly Correlated Electrons · Physics 2011-10-18 Ryuichi Shindou , Seiji Yunoki , Tsutomu Momoi

Variational wave functions have enabled exceptional scientific breakthroughs related to the understanding of novel phases of matter. Examples include the Bardeen-Cooper-Schrieffer theory of superconductivity, the description of the…

Strongly Correlated Electrons · Physics 2019-09-18 Francesco Ferrari , Federico Becca , Juan Carrasquilla

We find the Gutzwiller projected Fermi sea wave function(GWF) has the correct phase structure to describe the kink nature of the doped holes in the ground state of the one dimensional $t-J$ model. We find the failure of the GWF for general…

Superconductivity · Physics 2007-05-23 Hong-Yu Yang , Tao Li

Two-dimensional t-J model is studied by a variational Monte Carlo method, using Gutzwiller-Jastrow-type wave functions. Various kinds of superconducting pairing symmetries are compared in order to determine the phase diagram of the ground…

Condensed Matter · Physics 2009-10-28 Hisatoshi Yokoyama , Masao Ogata

We demonstrate that, starting with a simple fermion wave function, the steady mixed state of the evolution of a class of Lindbladians, and the ensemble created by strong local measurement of fermion density without post-selection can be…

Strongly Correlated Electrons · Physics 2025-08-05 Kaixiang Su , Abhijat Sarma , Marcus Bintz , Thomas Kiely , Yimu Bao , Matthew P. A. Fisher , Cenke Xu

The Gutzwiller projection is shown to induce nontrivial correlation between the spinon and the holon in the slave Boson theory of the $t-J$ model. We find this correlation is responsible some subtle differences between the slave Boson mean…

Superconductivity · Physics 2007-05-23 Hong-Yu Yang , Tao Li

I propose a new paired-wavefunction with a parameter that continuously interpolates from the 1D Jastrow-product to the Majumdar-Ghosh dimer-wavefunction appropriate for the frustrated Heisenberg $S = 1/2$ antiferromagnet. This spin…

Strongly Correlated Electrons · Physics 2007-05-23 Z. N. C. Ha

We develop a formalism for constructing particle-number-conserving Gaussian fermionic projected entangled pair states [U(1)-GfPEPS] and show that these states can describe ground states of band insulators and gapless fermions with band…

Strongly Correlated Electrons · Physics 2023-03-07 Jheng-Wei Li , Jan von Delft , Hong-Hao Tu

Partially-projected Gutzwiller variational wavefunctions are used to describe the ground state of disordered interacting systems of fermions. We compare several different variational ground states with the exact ground state for disordered…

Strongly Correlated Electrons · Physics 2009-06-19 A. Farhoodfar , X. Chen , R. J. Gooding , W. A. Atkinson

The supersymmetric formulation of t-J model is studied in this paper at the mean-field level where $\delta$-T phase diagram is computed. We find that slave-fermion-like spiral phase is stable at low doping concentration, and the…

Superconductivity · Physics 2007-05-23 Chi-Ho Cheng , T. K. Ng

Motivated by recent density-matrix renormalization group (DMRG) calculations [Yan, Huse, and White, Science 332, 1173 (2011)], which claimed that the ground state of the nearest-neighbor spin-1/2 Heisenberg antiferromagnet on the kagome…

Strongly Correlated Electrons · Physics 2011-07-25 Yasir Iqbal , Federico Becca , Didier Poilblanc

We develop the Gutzwiller approximation method to obtain the renormalized Hamiltonian of the SU(4) $t$-$J$ model with the corresponding renormalization factors. Subsequently, a mean-field theory is employed on the renormalized Hamiltonian…

Strongly Correlated Electrons · Physics 2022-06-14 Jia-Cheng He , Jie Hou , Yan Chen

We investigate the physics of projected d-wave pairing states using their fermionic projected entangled pair state (fPEPS) representation. First, we approximate a d-wave Bardeen-Cooper-Schrieffer state using the Gaussian fPEPS. Next, we…

Strongly Correlated Electrons · Physics 2023-03-28 Qi Yang , Xing-Yu Zhang , Hai-Jun Liao , Hong-Hao Tu , Lei Wang

We implement the Gutzwiller wave function for attractive SU(3) fermion systems on a quantum computer using a quantum-classical hybrid scheme based on the discrete Hubbard-Stratonovich transformation. In this approach, the nonunitary…

Quantum Physics · Physics 2025-12-16 Han Xu , Kazuhiro Seki , Seiji Yunoki

We introduce a method to design a local spin Hamiltonian to realize a Gutzwiller-projected parton wave functions (GPWF) as its ground state. For example, the Dirac spin liquid (DSL) state is quite close to the true ground state of the…

Strongly Correlated Electrons · Physics 2014-07-04 Jia-Wei Mei , Xiao-Gang Wen

Recent work by Wu {\em et al.} [arXiv:1910.11011] proposed a numerical method, so-called matrix product operator-matrix product state (MPO-MPS) method, by which several types of quantum many-body wave functions, in particular, the projected…

Strongly Correlated Electrons · Physics 2020-04-29 Hui-Ke Jin , Hong-Hao Tu , Yi Zhou
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