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A multi-chain mean-field theory is developed and applied to a two-dimensional system of weakly coupled S=1/2 Heisenberg chains. The environment of a chain C_0 is modeled by a number of neighbor chains C_d, d = +/-1,...,+/-n, with the edge…

Strongly Correlated Electrons · Physics 2009-10-31 Anders W. Sandvik

BCS superconductivity is explained by a simple Hamiltonian describing an attractive pairing interaction between pairs of electrons. The Hamiltonian may be treated using a mean-field method, which is adequate to study equilibrium properties…

Superconductivity · Physics 2011-12-15 Gregory Gorohovsky , Eldad Bettelheim

We investigate a Hamiltonian with radial potential wells and an Aharonov-Bohm vector potential with two poles. Assuming that the potential wells are symmetric, we derive the semi-classical asymptotics of the splitting between the ground and…

Spectral Theory · Mathematics 2024-07-24 Bernard Helffer , Ayman Kachmar

From known phase diagram regions of different model Hamiltonians describing strongly correlated systems we deduced new domains of the ground state phase diagram of the same model by an unitary transformation. Different types of extended…

Strongly Correlated Electrons · Physics 2017-08-23 E Kovacs , Zs. Gulacsi

We develop an inhomogeneous quantum mean-field approach to the behavior of collective excitations across the superfluid-Mott glass quantum phase transition in two dimensions, complementing recent quantum Monte Carlo simulations [Phys. Rev.…

Strongly Correlated Electrons · Physics 2021-12-15 Martin Puschmann , João C. Getelina , José A. Hoyos , Thomas Vojta

We consider a hypothetical substance, where interaction between (within) structural elements of condensed matter (molecules, nanoparticles, clusters, layers, wires etc.) depends on state of Cooper pairs: an additional work must be made…

Superconductivity · Physics 2018-05-02 Konstantin V. Grigorishin

In this article we provide a general mechanism for generating interaction-enabled fermionic topological phases. We illustrate the mechanism with crystalline symmetry-protected topological phases in 1D and 2D. These non-trivial phases…

Strongly Correlated Electrons · Physics 2016-03-23 Matthew F. Lapa , Jeffrey C. Y. Teo , Taylor L. Hughes

M. Tinkham and P. G. de Gennes, described in their books the existence of an intermediate type-I superconductor as a consequence of an external surface that affects the well known classification of superconductors into type-I and II. Here…

We study the dynamical properties of the canonical ordered phase of the Hamiltonian mean-field (HMF) model, in which $N$ particles, globally-coupled via pairwise attractive interactions, form a rotating cluster. Using a combination of…

We use cluster dynamical mean field theory to study the phase diagram of the square lattice bilayer Hubbard model with an interlayer interaction. The layers are populated by two-component fermions, and the densities in both layers and the…

In this paper, we present a detailed study on the phase diagrams of superconducting topological surface states, especially, focusing on the interplay between crystalline symmetry and topology of the effective BdG Hamiltonian. We show that…

Superconductivity · Physics 2021-12-21 W. H. Zhao , L. L. Ding , B. W. Zhou , J. Y. Wu , Y. Bai , Z. Y. Man , X. Luo

The formation of normal-state domains in type-I superconducting indium films is investigated using the high resolution magneto-optical imaging technique. The observed patterns consist of coexisting circular and lamellar normal-phase domains…

Superconductivity · Physics 2009-11-11 Vincent Jeudy , Catherine Gourdon

We show that a two-dimensional $s$-wave superconductor may become topological in the presence of a magnetic field that leads to the formation of an Abrikosov vortex lattice. Below the upper critical field, a superconducting state with a…

Superconductivity · Physics 2025-11-18 Daniil S. Antonenko , Liang Fu , Leonid. I Glazman

The recent analysis, based on the mean-field approximation (MFA), has predicted that the critical quantum collapse of the bosonic wave function, pulled to the center by the inverse-square potential in the three-dimensional space, is…

Quantum Gases · Physics 2015-11-04 G. E. Astrakharchik , B. A. Malomed

In this paper, a delocalization-localization transition within the superconducting state is explored. The symmetries of the Bogoliubov deGennes Hamiltonian endow the two associated superconducting phases - the thermal metal and the thermal…

Superconductivity · Physics 2016-08-31 Smitha Vishveshwara , Matthew P. A. Fisher

The zero-temperature phase diagram for ultracold Bosons in a random 1D potential is obtained through a site-decoupling mean-field scheme performed over a Bose-Hubbard (BH) Hamiltonian whose hopping term is considered as a random variable.…

Statistical Mechanics · Physics 2009-11-11 P. Buonsante , F. Massel , V. Penna , A. Vezzani

We theoretically investigate qualitative features of the field-temperature ($H$-$T$) phase diagram of superconductors with strong attractive interaction lying in the BCS-BEC crossover regime. Starting with a simple attractive Hubbard model,…

Superconductivity · Physics 2019-02-18 Kyosuke Adachi , Ryusuke Ikeda

The influence of a Zeeman magnetic field on the superconducting characteristics of the attractive Hubbard model was investigated. The ground state and temperature phase diagrams were obtained for a fixed number of particles. Two critical…

Strongly Correlated Electrons · Physics 2009-02-24 Agnieszka Kujawa , Roman Micnas

Condensation energy in a superconductor cannot be precisely defined if mean-field theory fails to hold. This implies that in the case of high temperature superconductors, discussions of quantitative measures of condensation energy must be…

Superconductivity · Physics 2009-11-07 Sudip Chakravarty , Hae-Young Kee , Elihu Abrahams

In this paper, we investigate the disordered attractive Hubbard model by combining dynamical mean field theory, coherent potential approximation and iterated perturbation theory for superconductivity as an impurity solver. Disorder is…

Superconductivity · Physics 2015-06-19 Naushad Ahmad Kamar , N. S. Vidhyadhiraja
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