Chiral superfluidity with p-wave symmetry from an interacting s-wave atomic Fermi gas

Liu, Bo; Li, Xiaopeng; Wu, Biao; Liu, W Vincent

doi:10.1038/ncomms6064

Cited by 49 publications

(58 citation statements)

References 51 publications

(80 reference statements)

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“…1) (7). Genomic alignments between the basal angiosperm Amborella trichopoda (24), the basal eudicot Vitis vinifera (25), and the model crucifer A. thaliana, as well as B. rapa (9), B. oleracea (10,11), and B. napus, are shown. A typical ancestral region in Amborella is expected to match up to 72 regions in B. napus (69 were detected for this specific region).…”

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confidence: 99%

“…The B. napus assembly contains 34.8% transposable elements (TEs), less than the 40% estimated from raw reads (tables S11 to S14) (7), with asymmetric distribution in the A n and C n subgenomes (table S12) as in the progenitor genomes (9)(10)(11). A small TE fraction has proliferated since B. napus separated from its progenitors (7), at lower rates in the B. napus subgenomes than the corresponding progenitor genomes (table S14 and figs.…”

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confidence: 99%

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Early allopolyploid evolution in the post-Neolithic Brassica napus oilseed genome

Chalhoub

Denœud

et al. 2014

Science

2,006

2,749

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Oilseed rape (Brassica napus L.) was formed~7500 years ago by hybridization between B. rapa and B. oleracea, followed by chromosome doubling, a process known as allopolyploidy. Together with more ancient polyploidizations, this conferred an aggregate 72× genome multiplication since the origin of angiosperms and high gene content. We examined the B. napus genome and the consequences of its recent duplication. The constituent A n and C n subgenomes are engaged in subtle structural, functional, and epigenetic cross-talk, with abundant homeologous exchanges. Incipient gene loss and expression divergence have begun. Selection in B. napus oilseed types has accelerated the loss of glucosinolate genes, while preserving expansion of oil biosynthesis genes. These processes provide insights into allopolyploid evolution and its relationship with crop domestication and improvement.T he Brassicaceae are a large eudicot family (1) and include the model plant Arabidopsis thaliana. Brassicas have a propensity for genome duplications ( Fig. 1) and genome mergers (2). They are major contributors to the human diet and were among the earliest cultigens (3).B. napus (genome A n A n C n C n ) was formed by recent allopolyploidy between ancestors of B. oleracea (Mediterranean cabbage, genome C o C o ) and B. rapa (Asian cabbage or turnip, genome A r A r ) and is polyphyletic (2, 4), with spontaneous formation regarded by Darwin as an example of unconscious selection (5). Cultivation began in Europe during the Middle Ages and spread worldwide. Diversifying selection gave rise to oilseed rape (canola), rutabaga, fodder rape, and kale morphotypes grown for oil, fodder, and food (4, 6).The homozygous B. napus genome of European winter oilseed cultivar 'Darmor-bzh' was assembled with long-read [>700 base pairs (bp)] 454 GS-FLX+ Titanium (Roche, Basel, Switzerland) and Sanger sequence (tables S1 to S5 and figs. S1 to S3) (7). Correction and gap filling used 79 Gb of Illumina (San Diego, CA) HiSeq sequence. A final assembly of 849.7 Mb was obtained with SOAP (8) and Newbler (Roche), with 89% nongapped sequence (tables S2 and S3). Unique mapping of 5× nonassembled 454 sequences from B. rapa ('Chiifu') or B. oleracea (' TO1000') assigned most of the 20,702 B. napus scaffolds to either the A n (8294) or the C n (9984) subgenomes (tables S4 and S5 and fig. S3). The assembly covers~79% of the 1130-Mb genome and includes 95.6% of Brassica expressed sequence tags (ESTs) (7). A single-nucleotide polymorphism (SNP) map (tables S6 to S9 and figs. S4 to S8) genetically anchored 712.3 Mb (84%) of the genome assembly, yielding pseudomolecules for the 19 chromosomes (table S10).The assembled C n subgenome (525.8 Mb) is larger than the A n subgenome (314.2 Mb), consistent with the relative sizes of the assembled C o genome of B. oleracea (540 Mb, 85% of thẽ 630-Mb genome) and the A r genome of B. rapa (312 Mb, 59% of the~530-Mb genome) (9-11). The B. napus assembly contains 34.8% transposable elements (TEs), less than the 40% estimated from raw reads (table...

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confidence: 99%

mentioning

confidence: 99%

Early allopolyploid evolution in the post-Neolithic Brassica napus oilseed genome

Chalhoub

Denœud

et al. 2014

Science

2,006

2,749

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“…This consideration has been important to explain many important effects in topological systems. For instance, topological semimetals 26 and chiral superfluidity 27 have been predicted in multiorbital models where orbitals with different symmetries interact. Two component fermionic systems with occupied s and p orbital states were shown to have a rich phase diagram in both one and two dimensions 24 .…”

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confidence: 99%

4π Josephson currents in junctions of hybridized multiband superconductors

2017

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We study two-band one-dimensional superconducting chains of spinless fermions with inter and intra-band pairing. These bands hybridize and, depending on the relative angular momentum of their orbitals, the hybridization can be symmetric or anti-symmetric. The self-consistent competition between intra and inter-band superconductivity and how it is affected by the symmetry of the hybridization is investigated. In the case of anti-symmetric hybridization the intra and inter-band pairings do not coexist while in the symmetric case they do coexist and the interband pairing is shown to be dominant. The topological properties of the model are obtained through the topological invariant winding number and the presence of edge states. We find the existence of a topological phase due to the inter-band superconductivity and induced by symmetric hybridization. In this case we find a characteristic 4π-periodic Josephson current. In the case of anti-symmetric hybridization we also find a 4π-periodic Josephson current in the gapless inter-band superconducting phase, recently identified to be of Weyl-type.

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“…It has also been suggested by Dutta et al [13] that strong interactions and multiband effects can give rise to self-assembly of nontrivial lattices for topological insulators. Topological semimetals and chiral superfluidity with s-wave * paivi.torma@aalto.fi interactions have been predicted [14,15] in multiorbital models where orbitals with different symmetries interact. There is also extensive theory literature on both p-band bosons [16][17][18][19] and fermions [20] with many studies focusing on the strong coupling regime [21,22].…”

Section: Introductionmentioning

confidence: 99%

Superfluid phases of fermions with hybridizedsandporbitals

et al. 2015

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We explore the superfluid phases of a two-component Fermi mixture with hybridized orbitals in optical lattices. We show that there exists a general mapping of this system to the Lieb lattice. By using simple multiband models with hopping between s-and p-orbital states, we show that superfluid order parameters can have a π -phase difference between lattice sites, which is distinct from the case with hopping between s orbitals. If the population imbalance between the two spin species is tuned, the superfluid phase may evolve through various phases due to the interplay between hopping, interactions, and imbalance. We show that the rich behavior is observable in experimentally realizable systems.

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Chiral superfluidity with p-wave symmetry from an interacting s-wave atomic Fermi gas

Cited by 49 publications

References 51 publications

Early allopolyploid evolution in the post-Neolithic Brassica napus oilseed genome

Early allopolyploid evolution in the post-Neolithic Brassica napus oilseed genome

4π Josephson currents in junctions of hybridized multiband superconductors

Superfluid phases of fermions with hybridizedsandporbitals

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