Phase Transitions in Quasi-One-Dimensional System with Unconventional Superconductivity

Ptok, Andrzej; Cichy, Agnieszka; Rodriguez, Karen; Kapcia, Konrad Jerzy

doi:10.1007/s10948-017-4366-0

Cited by 10 publications

(12 citation statements)

References 50 publications

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“…This should not be surprising, since the FFLO signal is proportional to the number of paired particles (determined by the dominant eigenvalue λ α ), which is significantly smaller in the regime of a major mass imbalance. Recall that an analogical reduction has been predicted for a superconducting order parameter, at least in quasi-one-dimensional systems with a non-zero polarization [39,48,49]. Nevertheless, we have closely examined the shot-noise correlations published in [31] (see Fig.…”

Section: Momentum Correlationsmentioning

confidence: 79%

“…We aim to determine the ground-state properties of a two-component fermion system for different mass ratios. In particular, we want to establish whether the conventional paired phase undergoes a transition to any of unconventional paired phases (e.g., the fragmented phase with more than one dominant eigenvalue of a two-body reduced density matrix [37] or the FFLO phase with Cooper-like pairs moving with a non-zero center-of-mass momentum [38,39]). It is not trivial to describe the condensation of Cooper-like pairs in a one-dimensional system of a few fermions, since the off-diagonal long-range order is replaced by the power-decaying law [38,39].…”

Section: The Varying Mass Ratiomentioning

confidence: 99%

“…According to [39], the conventional paired phase and the Fulde-Ferrel-Larkin-Ovchinnikov phase can coexist in a narrow range of parameters. Motivated with these results, we establish whether this is the case also in the considered systems, i.e., strictly one-dimensional with the incompatibility of Fermi surfaces provided by the mass imbalance.…”

Section: The Coexistence Of Paired Phasesmentioning

confidence: 99%

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Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions

Łydżba

Sowiński

2020

Phys. Rev. A

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We study the ground-state properties of a two-component fermionic mixture effectively confined in a one-dimensional harmonic trap. We consider scenarios when numbers of particles in components are the same but particles have different masses. We examine whether it is possible to detect signatures of an unconventional pairing between opposite-spin fermions in the presence of attractive interactions. For this purpose, we perform the exact diagonalization of the many-body Hamiltonian and study the two-particle reduced density matrix. In agreement with expectations, we confirm that the many-body ground state is dominated by conventional pairs with a negligible total momentum for a small mass imbalance. Furthermore, we show that for sufficiently large mass ratios the domination of fundamentally different pairs is established and the Fulde-Ferrel-Larkin-Ovchinnikov phase is supported. Finally, we argue that the two mechanisms can coexist in the regime of moderate mass ratios. In view of the current experimental progress in obtaining ultra-cold fermionic systems in a few-body regime, our predictions can be validated in the state-of-the-art experiments.arXiv:1911.04188v1 [cond-mat.quant-gas]

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Section: Momentum Correlationsmentioning

confidence: 79%

Section: The Varying Mass Ratiomentioning

confidence: 99%

Section: The Coexistence Of Paired Phasesmentioning

confidence: 99%

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Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions

Łydżba

Sowiński

2020

Phys. Rev. A

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“…The first discussed example of the system, where we can realize the MLT, is the one-dimensional (1D) periodic optical lattice [24,25]. This system can be described in the real space by the following Hamiltonian:…”

Section: A Magnetic Lifshitz Transition In 1d Optical Latticementioning

confidence: 99%

“…Because we assume a general expression for the SOP in the real space, we can take ∆ i = ∆ 0 exp(iQ · R i ), where ∆ 0 is the amplitude of the SOP, whereas the Q is the total momentum of the Cooper pairs. ∆ 0 can be treated as an order parameter in the momentum space and the superconducting state exists in the whole system of ∆ 0 > 0 and normal state (NO) occurs otherwise, whereas Q describes a type of the superconducting phase [24,25]. If |Q| = 0 we have NO or BCS phases (with a constant value of the SOP in the real space), whereas otherwise the Fulde-Ferrell-Larkin-Ovchinnikov [29,30] (FFLO) phase is present.…”

Section: A Magnetic Lifshitz Transition In 1d Optical Latticementioning

confidence: 99%

Lifshitz Transitions Induced by Magnetic Field

Ptok

2019

Acta Phys. Pol. A

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The Fermi surface can be changed by different external conditions like, e.g., pressure or doping. It can lead to a change in the Fermi surface topology, called as the Lifshitz transition. Here, we briefly describe the Lifshitz transitions induced by the external magnetic field in a one-dimensional optical lattice and iron-based superconductors. We also discuss physical consequences emerging from these transitions.

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Lifshitz Transitions In Multi-band Hubbard Models for Topological Superconductivity in Complex Quantum Matter

Bianconi¹

2018

J Supercond Nov Magn

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How the macroscopic quantum coherence can resist to the decoherence attacks of high temperature is a major challenge for the science of the 21st century. Superstripes 2017 conference held in Ischia on June 2017 has been focused on the new physics of high Tc superconductors made of complex quantum matter. Today the standard model of high Tc superconductivity which grabs the physics of complex quantum matter is the multi-band Hubbard model where the dome of Tc occurs by driving the chemical potential in the proximity of a topological Lifshitz transition. The multi-gap superconductivity in the Tc dome is driven by exchange interaction between a first condensate in the BEC-BCS crossover which coexists with second BCS condensates. The proximity to Lifshitz transitions in correlated electronic systems gives the ubiquitous arrested phase separation observed in all high temperature superconductors. Non Euclidean filamentary hyperbolic geometry is needed for the space description of superstripes textures produced by the coexistence of short range CDW puddles, hole poor SDW puddles and self organized dopants rich puddles. A road map to room temperature superconductors in particular organic compounds made of superlattices of quantum wires driven by Fano resonances with one of the condensates in the BEC-BCS crossover has been proposed.

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Phase Transitions in Quasi-One-Dimensional System with Unconventional Superconductivity

Abstract: The paper is devoted to a study of superconducting properties of population-imbalanced fermionic mixtures in quasi-one-dimensional optical lattices. The system can be effectively described by the attractive Hubbard model with the Zeeman magnetic field term.

Cited by 10 publications

References 50 publications

Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions

Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions

Lifshitz Transitions Induced by Magnetic Field

Lifshitz Transitions In Multi-band Hubbard Models for Topological Superconductivity in Complex Quantum Matter

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