“…This value however differs from that reported in Ref. [33], where the nominal concentrations have been used. For example, in Ref [33] xnom = 0.16 has Ts ∼ 51 K, which would correspond to x ∼ 0.13, based on our phase diagram and previous reports [3,17].…”
Section: Footnotescontrasting
confidence: 89%
“…[33], however, it was assumed to occur near the nematic critical point defined as x nom ∼ 0.16, which corresponds to x ∼ 0.13 in our phase diagrams in Fig.3 and Fig.S1(b) (as the resistivity derivative in Ref. [33] show a T s ∼ 51 K). At low temperatures, we observe that Fermi-liquid behaviour recovers in the tetragonal phase (see also Refs.…”
Section: Resultsmentioning
confidence: 96%
“…[33], where the nominal concentrations have been used. For example, in Ref [33] xnom = 0.16 has Ts ∼ 51 K, which would correspond to x ∼ 0.13, based on our phase diagram and previous reports [3,17]. The two x ∼ 0.17 and the x ∼ 0.18 samples come from the same batch and their differences reflect the sulphur variation and the degree of disorder (x ∼ 0.18 is cleaner with an RRR of ∼ 24 compared with ∼ 16 for the two x ∼ 0.17 samples).…”
Section: Footnotesmentioning
confidence: 99%
“…Data reported in Ref. [33] are also included for comparison as open triangles. Please note that Ref.…”
Section: Footnotesmentioning
confidence: 99%
“…Please note that Ref. [33] uses nominal xnom values which are shifted to smaller values (as indicated by horizontal arrows) to match the real x values based on EDX studies reported previously [3,17]. The nematic end point (NEP) is indicated by an arrow and circle around x ∼ 0.180 (5).…”
Understanding superconductivity requires detailed knowledge of the normal electronic state from which it emerges. A nematic electronic state that breaks the rotational symmetry of the lattice can potentially promote unique scattering relevant for superconductivity. Here, we investigate the normal transport of superconducting FeSe1−xSx across a nematic phase transition using high magnetic fields up to 69 T to establish the temperature and field-dependencies. We find that the nematic state is an anomalous non-Fermi liquid, dominated by a linear resistivity at low temperatures that can transform into a Fermi liquid, depending on the composition x and the impurity level. Near the nematic end point, we find an extended temperature regime with ∼ T 1.5 resistivity. The transverse magnetoresistance inside the nematic phase has as a ∼ H 1.55 dependence over a large magnetic field range and it displays an unusual peak at low temperatures inside the nematic phase. Our study reveals anomalous transport inside the nematic phase, driven by the subtle interplay between the changes in the electronic structure of a multi-band system and the unusual scattering processes affected by large magnetic fields and disorder.Magnetic field is a unique tuning parameter that can suppress superconductivity to reveal the normal low-temperature electronic behavior of many unconventional superconductors [1,2]. High-magnetic fields can also induce new phases of matter, probe Fermi surfaces and determine the quasi-particle masses from quantum oscillations in the proximity of quantum critical points [1,3]. In unconventional superconductors, close to antiferromagnetic critical regions, an unusual scaling between a linear resistivity in temperature and magnetic fields was found [4,5]. Magnetic fields can also induce metal-toinsulator transitions, as in hole-doped cuprates, where superconductivity emerges from an exotic electronic ground state [2].FeSe is a unique bulk superconductor with T c ∼ 9 K which displays a variety of complex and competing electronic phases [6]. FeSe is a bad metal at room temperature and it enters a nematic electronic state below T s ∼ 87 K. This nematic phase is characterized by multi-band shifts driven by orbital ordering that lead to Fermi surface distortions [6,7]. Furthermore, the electronic ground state is that of a strongly correlated system and the quasiparticle masses display orbital-dependent enhancements [7,8]. FeSe shows no long-range magnetic order at ambient pressure, but complex magnetic fluctuations are present at high energies over a large temperature range [9]. Below T s , the spin-lattice relaxation rate from NMR experiments is enhanced as it captures the low-energy tail of the stripe spin-fluctuations [10,11]. Furthermore, recent µSR studies invoke the close proximity of FeSe to a magnetic quantum critical point as the muon relaxation rate shows unusual temperature dependence inside the nematic state [12].The changes in the electronic structure and magnetic fluctuations of FeSe can have profound implicatio...
“…This value however differs from that reported in Ref. [33], where the nominal concentrations have been used. For example, in Ref [33] xnom = 0.16 has Ts ∼ 51 K, which would correspond to x ∼ 0.13, based on our phase diagram and previous reports [3,17].…”
Section: Footnotescontrasting
confidence: 89%
“…[33], however, it was assumed to occur near the nematic critical point defined as x nom ∼ 0.16, which corresponds to x ∼ 0.13 in our phase diagrams in Fig.3 and Fig.S1(b) (as the resistivity derivative in Ref. [33] show a T s ∼ 51 K). At low temperatures, we observe that Fermi-liquid behaviour recovers in the tetragonal phase (see also Refs.…”
Section: Resultsmentioning
confidence: 96%
“…[33], where the nominal concentrations have been used. For example, in Ref [33] xnom = 0.16 has Ts ∼ 51 K, which would correspond to x ∼ 0.13, based on our phase diagram and previous reports [3,17]. The two x ∼ 0.17 and the x ∼ 0.18 samples come from the same batch and their differences reflect the sulphur variation and the degree of disorder (x ∼ 0.18 is cleaner with an RRR of ∼ 24 compared with ∼ 16 for the two x ∼ 0.17 samples).…”
Section: Footnotesmentioning
confidence: 99%
“…Data reported in Ref. [33] are also included for comparison as open triangles. Please note that Ref.…”
Section: Footnotesmentioning
confidence: 99%
“…Please note that Ref. [33] uses nominal xnom values which are shifted to smaller values (as indicated by horizontal arrows) to match the real x values based on EDX studies reported previously [3,17]. The nematic end point (NEP) is indicated by an arrow and circle around x ∼ 0.180 (5).…”
Understanding superconductivity requires detailed knowledge of the normal electronic state from which it emerges. A nematic electronic state that breaks the rotational symmetry of the lattice can potentially promote unique scattering relevant for superconductivity. Here, we investigate the normal transport of superconducting FeSe1−xSx across a nematic phase transition using high magnetic fields up to 69 T to establish the temperature and field-dependencies. We find that the nematic state is an anomalous non-Fermi liquid, dominated by a linear resistivity at low temperatures that can transform into a Fermi liquid, depending on the composition x and the impurity level. Near the nematic end point, we find an extended temperature regime with ∼ T 1.5 resistivity. The transverse magnetoresistance inside the nematic phase has as a ∼ H 1.55 dependence over a large magnetic field range and it displays an unusual peak at low temperatures inside the nematic phase. Our study reveals anomalous transport inside the nematic phase, driven by the subtle interplay between the changes in the electronic structure of a multi-band system and the unusual scattering processes affected by large magnetic fields and disorder.Magnetic field is a unique tuning parameter that can suppress superconductivity to reveal the normal low-temperature electronic behavior of many unconventional superconductors [1,2]. High-magnetic fields can also induce new phases of matter, probe Fermi surfaces and determine the quasi-particle masses from quantum oscillations in the proximity of quantum critical points [1,3]. In unconventional superconductors, close to antiferromagnetic critical regions, an unusual scaling between a linear resistivity in temperature and magnetic fields was found [4,5]. Magnetic fields can also induce metal-toinsulator transitions, as in hole-doped cuprates, where superconductivity emerges from an exotic electronic ground state [2].FeSe is a unique bulk superconductor with T c ∼ 9 K which displays a variety of complex and competing electronic phases [6]. FeSe is a bad metal at room temperature and it enters a nematic electronic state below T s ∼ 87 K. This nematic phase is characterized by multi-band shifts driven by orbital ordering that lead to Fermi surface distortions [6,7]. Furthermore, the electronic ground state is that of a strongly correlated system and the quasiparticle masses display orbital-dependent enhancements [7,8]. FeSe shows no long-range magnetic order at ambient pressure, but complex magnetic fluctuations are present at high energies over a large temperature range [9]. Below T s , the spin-lattice relaxation rate from NMR experiments is enhanced as it captures the low-energy tail of the stripe spin-fluctuations [10,11]. Furthermore, recent µSR studies invoke the close proximity of FeSe to a magnetic quantum critical point as the muon relaxation rate shows unusual temperature dependence inside the nematic state [12].The changes in the electronic structure and magnetic fluctuations of FeSe can have profound implicatio...
The concept of quantum-mechanical nematic order, which is important in systems such as superconductors, is based on an analogy to classical liquid crystals, where order parameters are obtained through orientational expansions. This method is generalized to quantum mechanics based on an expansion of Wigner functions. This provides a unified framework applicable to arbitrary quantum systems. The formalism recovers the standard definitions for spin systems. For Fermi liquids, the formalism reveals the nonequivalence of various definitions of the order parameter used in the literature. Moreover, new order parameters for quantum molecular systems with low symmetry are derived, which cannot be properly described with the usual nematic tensors.
Electronic nematicity has previously been observed in La2-xSrxCuO4 thin films by the angle resolved transverse resistivity method with a director whose orientation is always pinned to the crystal axes when the film is grown on an orthorhombic substrate but not when the substrate is tetragonal. Here we report on measurements of thin films grown on (tetragonal) LaSrAlO4 and subsequently placed in an apparatus that allows the application of uniaxial compressive strain. The apparatus applied enough force to produce a 1% orthorhombicity in LaSrAlO4 and yet no change in the electronic nematicity was observed in films under strain compared to when they were unstrained. The lattice effects are weak, and the origin of nematicity is primarily electronic.
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