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We consider spaces of trial wavefunctions for ground states and edge excitations in the fractional quantum Hall effect that can be obtained in various ways. In one way, functions are obtained by analyzing the entanglement of the ground…

Mesoscale and Nanoscale Physics · Physics 2013-09-04 T. S. Jackson , N. Read , S. H. Simon

The BCS results for the superconducting gap $\Delta$ and $T_C$ are obtained from a one-particle model. Superconductivity appears when the electronic energy gains of the band structure surpass the energy needed for atomic vibrations or…

Superconductivity · Physics 2009-11-17 T. Jarlborg

Recent refinements of analytical and numerical methods have improved our understanding of the ground-state phase diagram of the two-dimensional (2D) Hubbard model. Here we focus on variational approaches, but comparisons with both Quantum…

Strongly Correlated Electrons · Physics 2009-07-25 D. Baeriswyl , D. Eichenberger , M. Menteshashvili

An array of one-dimensional conductors coupled by transverse hopping and interaction is studied with the help of a variational wave function. This wave function is devised as to account for one-dimensional correlation effects. We show that…

Superconductivity · Physics 2010-11-11 A. V. Rozhkov

We consider a realization of the two-species bosonic Hubbard model with variable interspecies interaction and hopping strength. We analyze the superfluid-insulator (SI) transition for the relevant parameter regimes and compute the ground…

Statistical Mechanics · Physics 2009-11-11 A. Isacsson , Min-Chul Cha , K. Sengupta , S. M. Girvin

Strong correlations within a symmetry-unbroken ground-state wavefunction can show up in approximate density functional theory as symmetry-broken spin-densities or total densities, which are sometimes observable. They can arise from soft…

Strongly Correlated Electrons · Physics 2021-04-28 John P. Perdew , Adrienn Ruzsinszky , Jianwei Sun , Niraj K. Nepal , Aaron D. Kaplan

We extend the standard effective model of d-wave superconductivity of a single band tight-binding Hamiltonian with nearest-neighbor attraction to include finite range periodically modulated pair-hopping. The pair-hopping is characterized by…

Strongly Correlated Electrons · Physics 2017-12-12 Jonatan Wårdh , Mats Granath

We develop a systematic variational coherent-squeezed-state expansion for the ground state of the quantum Rabi model, which includes an additional squeezing effect with comparisons to previous coherent-state approach. For finite large ratio…

Quantum Physics · Physics 2020-03-25 Xiang-You Chen , Yu-Yu Zhang , Hang Zheng

A recent analysis by Kadin has noted that the superconducting wavefunction within the BCS theory may be represented in real-space as a spherical electronic orbital (on the scale of the coherence length) coupled to a standing-wave lattice…

Superconductivity · Physics 2008-03-31 Alan M. Kadin

We show that a layered superconductor, described by a two-component order parameter, has a gapped state above the ground state, topologically protected from decay, containing flow and counter flow in the absence of an applied magnetic…

Superconductivity · Physics 2014-03-26 Marco Cariglia , Alfredo A. Vargas-Paredes , Mauro M. Doria

A supersolid is a quantum-entangled state of matter exhibiting the dual characteristics of superfluidity and solidity. Theory predicts that hard-core bosons with repulsive interactions on a triangular lattice can form supersolid phases at…

We investigate the newly discovered supersolid phase by solving in random phase approximation the anisotropic Heisenberg model of the hard-core boson ${}^4$He lattice. We include nearest and next-nearest neighbor interactions and calculate…

Other Condensed Matter · Physics 2015-05-13 A. Stoffel , M. Gulacsi

In the present paper, we analyze the properties of the unbalanced superconducting state on a square lattice with the constant value of the electron-phonon coupling function. We conduct our analysis in the framework of the Eliashberg…

Superconductivity · Physics 2018-10-22 Kamila A. Szewczyk , Radosław Szczȩśniak , Dominik Szczȩśniak

We study the ground-state phase diagram of a one-dimensional $\mathbb{Z}_2$ lattice gauge theory coupled to soft-core bosonic matter at unit filling, inspired by the Higgs sector of the standard model. Through a combination of analytical…

Quantum Gases · Physics 2025-03-07 Alexander Schuckert , Stefan Kühn , Kevin C. Smith , Eleanor Crane , Steven M. Girvin

The stability of the quenched incommensurate phase in two dimensions against the creation of overhangs and finite loops (OH/FL) in the replica space is investigated for a model of domain walls with $N$ colors. Introducing a chemical…

Condensed Matter · Physics 2009-10-22 K. Ziegler , A. M. M. Pruisken

The wave function in the quantum theory of the O(N) extended supersymmetric particle model describes a massless free field with spin N/2. This quantum theory is here exactly solved in terms of gauge fields in arbitrary even dimensions using…

High Energy Physics - Theory · Physics 2009-06-12 Robert Marnelius

Based on our recently proposed plane wave framework, we theoretically study the localized-extended transition in the one dimensional incommensurate systems with cosine type of potentials, which are in close connection to many recent…

Computational Physics · Physics 2020-08-19 Huajie Chen , Aihui Zhou , Yuzhi Zhou

We study the relation between the partition function of a non--relativistic particle, that describes the equilibrium fluctuations implicitly, and the partition function of the same system, deduced from the Langevin equation, that describes…

High Energy Physics - Theory · Physics 2017-03-21 Stam Nicolis

We evaluate numerically several superconducting correlation functions in a generalized $t-J$ model derived for hole-doped CuO$_2$ planes. The model includes a three-site term $t''$ similar to that obtained in the large $U$ limit of the…

Condensed Matter · Physics 2007-05-23 C. D. Batista , A. A. Aligia

By using a dual vortex method, we study phases such as superfluid, solids, supersolids and quantum phase transitions in a unified scheme in extended boson Hubbard models at and slightly away from half filling on bipartite optical lattices…

Statistical Mechanics · Physics 2009-02-13 Jinwu Ye