Neutral excitations in the Gaffnian state

Kang, Bongsoon; Moore, Joel E.

doi:10.1103/physrevb.95.245117

Cited by 18 publications

(17 citation statements)

References 59 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This "paradox" would be resolved if the Gaffnian parent Hamiltonian had gapless energy spectrum 12 , potentially arising as a critical point between two gapped FQH phases (such as in a bilayer system with tunneling 39 ). Recent numerical tests on the sphere 40 are indeed consistent with the Gaffnian neutral gap vanishing with system size, although similar results on the torus geometry have been inconclusive 41 . Furthermore, it has been analytically established that in the so-called thin torus limit the Gaffnian state is gapped 42,43 .…”

Section: Introductionmentioning

confidence: 89%

Effective Abelian theory from a non-Abelian topological order in the ν=2/5 fractional quantum Hall effect

Yang

Papić

2019

Phys. Rev. B

View full text Add to dashboard Cite

Topological phases of matter are distinguished by topological invariants, such as Chern numbers and topological spins, that quantize their response to electromagnetic currents and changes of ambient geometry. Intriguingly, in the ν = 2/5 fractional quantum Hall effect, prominent theoretical approaches -the composite fermion theory and conformal field theory -have constructed two distinct states, the Jain composite fermion (CF) state and the Gaffnian state, for which many of the topological indices coincide and even the microscopic ground state wave functions have high overlap with each other in system sizes accessible to numerics. At the same time, some aspects of these states are expected to be very different, e.g., their elementary excitations should have either Abelian (CF) or non-Abelian (Gaffnian) statistics. In this paper we investigate the close relationship between these two states by considering not only their ground states, but also the low-energy charged excitations. We show that the low-energy physics of both phases is spanned by the same type of quasielectrons of the neighbouring Laughlin phase. The main difference between the two states arises due to an implicit assumption of short-range interaction in the CF approach, which causes a large splitting of the variational energies of the Gaffnian excitations. We thus propose that the Jain phase emerges as an effective Abelian low-energy description of the Gaffnian phase when the Hamiltonian is dominated by two-body interactions of sufficiently short range. arXiv:1907.12572v1 [cond-mat.str-el]

show abstract

Section: Introductionmentioning

confidence: 89%

Effective Abelian theory from a non-Abelian topological order in the ν=2/5 fractional quantum Hall effect

Yang

Papić

2019

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…A notable recent success is the theory led discovery of high temperature superconductivity of hydrogen sulfide under pressure [1][2][3][4][5], which has set the record of the highest critical temperature reached so far. Other examples of recent predictions are existence of a metallic layer in a new family (112) of iron based superconductors [6][7][8], the prediction and synthesis of missing half-Heusler compounds [9][10][11], the prediction of new high-pressure phase materials such as FeO 2 [12], calcium carbides [13], and Na 2 He [14], which were also confirmed experimentally. For reviews see Refs.…”

Section: Introductionmentioning

confidence: 97%

Material design of indium-based compounds: Possible candidates for charge, valence, and bond disproportionation and superconductivity

Kang

Kotliar

2019

Phys. Rev. Materials

View full text Add to dashboard Cite

We design and investigate the physical properties of new indium compounds AInX3 (A = alkali metals, X = F or Cl). We find nine new In based materials in their ground state that are thermodynamically stable but are not reported in ICSD (Inorganic Crystal Structure Database). We also discuss several metastable structures. This new series of materials display multiple valences, charge and bond disproportionation, and dimerization. The most common valence of In is 3+. We also find two rare alternatives, one has In 2+ with In-In dimerization and the other shows valence disproportionation to In 1+ and In 3+ with bond disproportionation. We study the possibility of superconductivity in these new In compounds and find that CsInF3 has a transition temperature about 24 K with sufficient hole doping and pressure. arXiv:1810.12410v2 [cond-mat.mtrl-sci]

show abstract

“…They give useful guideline to experiments for material synthesis and design. Notable recent successes are the prediction of the 112 family of iron based superconductors [17][18][19] and the prediction of superconductivity of hydrogen sulfide that has the highest critical temperature under high pressure [20,21]. Other successes of theory guided material searches are the prediction and synthesis of unreported missing half-Heusler compounds, which are potential transparent conductors, thermoelectric materials and topological semimetals [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Study for material analogs of FeSb2 : Material design for thermoelectric materials

Kang

Kotliar

2018

Phys. Rev. Materials

View full text Add to dashboard Cite

Using the ab initio evolutionary algorithm (implemented in USPEX) and electronic structure calculations we investigate the properties of a new thermoelectric material FeSbAs, which is a material analog of the enigmatic thermoelectric FeSb2. We utilize the density functional theory and the Gutzwiller method to check the energetics. We find that FeSbAs can be made thermodynamically stable above ∼30 GPa. We investigate the electronic structure and thermoelectric properties of FeSbAs based on the density functional theory and compare with those of FeSb2. Above 50 K, FeSbAs has higher Seebeck coefficients than FeSb2. Upon doping, the figure of merit becomes larger for FeSbAs than for FeSb2. Another material analog FeSbP, was also investigated, and found thermodynamically unstable even at very high pressure. Regarding FeSb2 as a member of a family of compounds (FeSb2, FeSbAs, and FeSbP) we elucidate what are the chemical handles that control the gaps in this series. We also investigate solubility (As or P for Sb in FeSb2) we found As to be more soluble. Finally, we study a two-band model for thermoelectric properties and find that the temperature dependent chemical potential and the presence of the ionized impurities are important to explain the extremum in the Seebeck coefficient exhibited in experiments for FeSb2.PACS numbers:

show abstract

Neutral excitations in the Gaffnian state

Cited by 18 publications

References 59 publications

Effective Abelian theory from a non-Abelian topological order in the ν=2/5 fractional quantum Hall effect

Effective Abelian theory from a non-Abelian topological order in the ν=2/5 fractional quantum Hall effect

Material design of indium-based compounds: Possible candidates for charge, valence, and bond disproportionation and superconductivity

Study for material analogs of FeSb2 : Material design for thermoelectric materials

Contact Info

Product

Resources

About