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We present a characterization of the many-body lattice wave functions obtained from the conformal blocks (CBs) of the Ising conformal field theory (CFT). The formalism is interpreted as a matrix product state using continuous ancillary…

Strongly Correlated Electrons · Physics 2017-12-06 Sebastian Montes , Javier Rodríguez-Laguna , Germán Sierra

We study the interplay of spin-orbit coupling (SOC) and strong p-wave interaction to the scattering property of spin-1/2 ultracold Fermi gases. Based on a two-channel square-well potential generating p-wave resonance, we show that the…

Quantum Gases · Physics 2017-06-01 Xiaoling Cui

We propose a modified BCS wavefunction as the ground state of a correlated superconductor with the correlation specified between $k$ and $-k$ electrons in the reciprocal space. Owing to this correlation, low-energy excitations are not…

Superconductivity · Physics 2023-09-07 Pengfei Li , Kun Jiang , Jiangping Hu

The s+g mixed gap function \Delta_k=\Delta {[(1-x)-x\sin^4\theta\cos4\phi]} (x: weight of g-wave component) has been studied within BCS theory. By suitable consideration of the pairing interaction, we have confirmed that the coexistence of…

Superconductivity · Physics 2009-11-10 Qingshan Yuan , Peter Thalmeier

Superconductivity is usually described in the framework of the Bardeen-Cooper-Schrieffer (BCS) wavefunction, which even includes the resonating-valence-bond (RVB) wavefunction proposed for the high-temperature superconductivity in the…

Strongly Correlated Electrons · Physics 2019-01-02 Shuai Chen , Zheng Zhu , Zheng-Yu Weng

A many-body wavefuction is postulated, which is sufficiently general to describe superconducting pair-correlations, and/or spin-correlations, which can occur either as long-range order or as finite-range correlations. The proposed…

Condensed Matter · Physics 2007-05-23 D. van der Marel

Twenty-five years after the first proposal, the question whether the ground state of a frustrated spin-half system is well described by a spin-liquid Resonating Valence Bond (RVB) wave function is still controversial. A physically…

Strongly Correlated Electrons · Physics 2007-05-23 Luca Capriotti , Federico Becca , Alberto Parola , Sandro Sorella

We study the structure of the number projected BCS (PBCS) wave function in the particle-hole basis, displaying its similarities with coupled clusters theory (CCT). The analysis of PBCS together with several modifications suggested by the…

Nuclear Theory · Physics 2016-06-15 J. Dukelsky , S. Pittel , C. Esebbag

We construct many-body scar states in multi-flavour fermionic lattice models that possess strong magnetic or superconducting correlations of a given type specified by a unitary matrix $A$. One of the states maximizes the one-point…

Strongly Correlated Electrons · Physics 2026-05-15 Kiryl Pakrouski , Zimo Sun

Spin-fluctuation-mediated superconductivity is conventionally associated with d_{x^2-y^2} pairing. We show that a generalized model of antiferromagnetic spin fluctuations in three dimensions may also yield a state with formal ``s-wave''…

Condensed Matter · Physics 2009-10-28 R. J. Radtke , A. I. Liechtenstein , V. M. Yakovenko , S. Das Sarma

Variational wave functions containing electronic pairing and suppressed charge fluctuations (i.e., projected BCS states) have been proposed as the paradigm for disordered magnetic systems (including spin liquids). Here we discuss the…

Strongly Correlated Electrons · Physics 2009-06-01 Federico Becca , Luca Capriotti , Alberto Parola , Sandro Sorella

Spin waves have been studied experimentally and by simulations in 1000 nm side equilateral triangular Permalloy dots in the Buckle state (B, with in-plane field along the triangle base) and the Y state (Y, with in-plane field perpendicular…

Mesoscale and Nanoscale Physics · Physics 2014-06-30 A. Lara , V. Metlushko , M. Garcia-Hernandez , F. G. Aliev

For a general two-body bound state in quantum mechanics, both in the stable and decaying cases, we establish a way to extract its two-body wave function in momentum space from the scattering amplitude of the constituent two particles. For…

Quantum Physics · Physics 2017-03-08 Takayasu Sekihara

The condensate of the Bardeen-Cooper-Schrieffer (BCS) pair in the ground state, which may contain information on both topology and spin pairing, promises the superconductivity of the system. In this paper, we study a singlet-triplet spin…

Strongly Correlated Electrons · Physics 2023-09-29 E. S. Ma , K. L. Zhang , Z. Song

Entanglement properties of the trial many-body wave functions in variational treatments of the transverse Ising model in two, three, and four dimensions are investigated. Based on data for magnetizations and correlation functions generated…

Statistical Mechanics · Physics 2007-05-23 J. W. Clark , A. Mandilara , M. L. Ristig

We present a new two-channel integrable model describing a system of spinless fermions interacting through a p-wave Feshbach resonance. Unlike the BCS-BEC crossover of the s-wave case, the p-wave model has a third order quantum phase…

Quantum Gases · Physics 2011-09-29 S. Lerma H. , S. M. A. Rombouts , J. Dukelsky , G. Ortiz

We develop an analytical many-body wave function to accurately describe the crossover of a one-dimensional bosonic system from weak to strong interactions in a harmonic trap. The explicit wave function, which is based on the exact two-body…

Quantum Gases · Physics 2015-05-30 Ioannis Brouzos , Peter Schmelcher

A method is proposed for constructing an exact ground-state wave function of a two-dimensional model with spin 1/2. The basis of the method is to represent the wave function by a product of fourth-rank spinors associated with the sites of a…

Strongly Correlated Electrons · Physics 2009-10-31 D. V. Dmitriev , V. Ya. Krivnov , A. A. Ovchinnikov

Conventional wisdom dictates that the conducting edge states of two-dimensional topological insulators of the Bi$_2$Se$_3$ family are protected by time-reversal symmetry. However, theoretical bulk calculations and a recent experiment show…

Mesoscale and Nanoscale Physics · Physics 2025-12-12 Stan P. J. Koenis , Lucas Maisel Licerán , Henk T. C. Stoof

By an exact numerical calculation of the BCS pair wavefunction and the density correlation functions both between atoms in the same and in different spin states, we extract the spatial large distance behavior of the respective functions.…

Quantum Gases · Physics 2020-04-01 J. C. Obeso-Jureidini , V. Romero-Rochin
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