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Nested Fermi surfaces and correlated electronic phases in hole-doped semiconductor quantum wells
Mesoscale and Nanoscale Physics · Submitted 26 Oct 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our results establish $p$-type semiconductor quantum wells as a platform for novel correlated phases, which may be precisely controlled using electrostatic gating and external magnetic fields.
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The abstract, sentence by sentence
We demonstrate the existence of novel interaction effects in hole-doped semiconductor quantum wells which are connected to dramatic changes in the Fermi surface geometry occurring upon variation of the doping. We present band structure calculations showing that quantum wells formed in $p$-type cubic semiconductors develop nested Fermi surfaces at a critical hole density set by the width $d$ of the quantum well $k_F\sim \pi/d$. Nesting gives rise to competing superconducting and charge or spin density wave order, which we analyze using the perturbative renormalization group method. The correlated phases may be created or destroyed by tuning the hole density towards or away from the critical density. Our results establish $p$-type semiconductor quantum wells as a platform for novel correlated phases, which may be precisely controlled using electrostatic gating and external magnetic fields.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We demonstrate the existence of novel interaction effects in hole-doped semiconductor quantum wells which are connected to dramatic changes in the Fermi surface geometry occurring upon variation of the doping. | contribution 0.61 | 0.91 | 0.39 | asserted 1.00 |
| s1 | We present band structure calculations showing that quantum wells formed in $p$-type cubic semiconductors develop nested Fermi surfaces at a critical hole density set by the width $d$ of the quantum well $k_F\sim \pi/d$. | result 0.92 | 0.93 | 0.17 | asserted 1.00 |
| s2 | Nesting gives rise to competing superconducting and charge or spin density wave order, which we analyze using the perturbative renormalization group method. | method 0.40 | 0.89 | 0.11 | asserted 1.00 |
| s3 | The correlated phases may be created or destroyed by tuning the hole density towards or away from the critical density. | result 0.68 | 0.70 | 0.16 | hedged possibility 0.98 |
| s4 | Our results establish $p$-type semiconductor quantum wells as a platform for novel correlated phases, which may be precisely controlled using electrostatic gating and external magnetic fields. | interpretation 0.92 | 0.75 | 0.75 | asserted 0.62 |
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Original abstract
We demonstrate the existence of novel interaction effects in hole-doped semiconductor quantum wells which are connected to dramatic changes in the Fermi surface geometry occurring upon variation of the doping. We present band structure calculations showing that quantum wells formed in $p$-type cubic semiconductors develop nested Fermi surfaces at a critical hole density set by the width $d$ of the quantum well $k_F\sim \pi/d$. Nesting gives rise to competing superconducting and charge or spin density wave order, which we analyze using the perturbative renormalization group method. The correlated phases may be created or destroyed by tuning the hole density towards or away from the critical density. Our results establish $p$-type semiconductor quantum wells as a platform for novel correlated phases, which may be precisely controlled using electrostatic gating and external magnetic fields.
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Our systems are also expected to exhibit a higher degree of nesting than those possible in the cuprates as well as other interacting systems including graphene [ref] , kagome materials [ref] and Moiré superlattices [ref] , since in our case exact nesting emerges upon tuning of the density to a transition from two distinct Fermi geometries which always exist for doping in different regimes.
Double-dome superconductivity under pressure in the V-based Kagome metals AV3Sb5 (A = Rb and K) · Conclusion · 0.92
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Our systems are also expected to exhibit a higher degree of nesting than those possible in the cuprates as well as other interacting systems including graphene [ref] , kagome materials [ref] and Moiré superlattices [ref] , since in our case exact nesting emerges upon tuning of the density to a transition from two distinct Fermi geometries which always exist for doping in different regimes.
Bilayer WSe$_2$ as a natural platform for interlayer exciton condensates in the strong coupling limit · Conclusion · 0.92
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