Enhancement of tunneling density of states at a Y junction of spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math>Tomonaga–Luttinger liquid wires

Mardanya, Sougata; Agarwal, Amit

doi:10.1103/physrevb.92.045432

Cited by 12 publications

(12 citation statements)

References 69 publications

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“…At the C ± fixed points, the leading term in the OPE of the boundary SSCO is proportional to the identity. This is consistent with the fact that the boundary interaction in (10) is responsible for pinning the bosonic fields through chiral boundary conditions, similarly to other applications of the method of delayed evaluation of boundary conditions [26, 59,60]. As a result, we find a nonzero expectation value,…”

Section: The Boundary Phase Diagramsupporting

confidence: 89%

Chiral Y junction of quantum spin chains

et al. 2019

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We study a Y junction of spin-1/2 Heisenberg chains with an interaction that breaks both time-reversal and chain exchange symmetries, but not their product nor SU(2) symmetry. The boundary phase diagram features a stable disconnected fixed point at weak coupling and a stable three-channel Kondo fixed point at strong coupling, separated by an unstable chiral fixed point at intermediate coupling. Using non-abelian bosonization and boundary conformal field theory, together with density matrix renormalization group and quantum Monte Carlo simulations, we characterize the signatures of these low-energy fixed points. In particular, we address the boundary entropy, the spin conductance, and the temperature dependence of the scalar spin chirality and the magnetic susceptibility at the boundary. h B n d Q h w Z Q E P A M r / D m P D o v z r v z M W 8 t O P n M I f y B 8 / k D h C + P n A = = < / l a t e x i t > J < l a t e x i t s h a 1 _ b a s e 6 4 = " 1 I Z Z 6 U M H d 4 D 0 X 9 s v v f d t 9 + 0 / G f o = " > A A A B 7 X i c d V D L S s N A F J 3 U V 6 2 v q k s 3 g 0 V w F Z I Y 2 r o r u h F X F e w D 2 l A m 0 0 k 7 d j I T Z i Z C C f 0 H N y 4 U c e v / u P N v n L Q V V P T A h c M 5 9 3 L v P W H C q N K O 8 2 E V V l b X 1 j e K m 6 W t 7 Z 3 d v f L + Q V u J V G L S w o I J 2 Q 2 R I o x y 0 t J U M 9 J N J E F x y E g n n F z m f u e e S E U F v 9 X T h A Q x G n E a U Y y 0 k d r X g z 4 e 0 0 G 5 4 t j n 9 a r n V 6 F j O 0 7 N 9 d y c e D X / z I e u U X J U w B L N Q f m 9 P x Q 4 j Q n X m C G l e q 6 T 6 C B D U l P M y K z U T x V J E J 6 g E e k Z y l F M V J D N r 5 3 B E 6 M M Y S S k K a 7 h X P 0 + k a F Y q W k c m s 4 Y 6 b H 6 7 e X i X 1 4 v 1 V E 9 y C h P U k 0 4 X i y K U g a 1 g P n r c E g l w Z p N D U F Y U n M r x G M k E d Y m o J I J 4 e t T + D 9 p e 7 b r 2 O 6 N X 2 l c L O M o g i N w D E 6 B C 2 q g A a 5 A E 7 Q A B n f g A T y B Z 0 t Y j 9 a L 9 b p o L V j L m U P w A 9 b b J 6 z A j z E = < / l a t e x i t > < l a t e x i t s h a 1 _ b a s e 6 4 = " 1 I Z Z 6 U M H d 4 D 0 X 9 s v v f d t 9 + 0 / G f o = " > A A A B 7 X i c d V D L S s N A F J 3 U V 6 2 v q k s 3 g 0 V w F Z I Y 2 r o r u h F X F e w D 2 l A m 0 0 k 7 d j I T Z i Z C C f 0 H N y 4 U c e v / u P N v n L Q V V P T A h c M 5 9 3 L v P W H C q N K O 8 2 E V V l b X 1 j e K m 6 W t 7 Z 3 d v f L + Q V u J V G L S w o I J 2 Q 2 R I o x y 0 t J U M 9 J N J E F x y E g n n F z m f u e e S E U F v 9 X T h A Q x G n E a U Y y 0 k d r X g z 4 e 0 0 G 5 4 t j n 9 a r n V 6 F j O 0 7 N 9 d y c e D X / z I e u U X J U w B L N Q f m 9 P x Q 4 j Q n X m C G l e q 6 T 6 C B D U l P M y K z U T x V J E J 6 g E e k Z y l F M V J D N r 5 3 B E 6 M M Y S S k K a 7 h X P 0 + k a F Y q W k c m s 4 Y 6 b H 6 7 e X i X 1 4 v 1 V E 9 y C h P U k 0 4 X i y K U g a 1 g P n r c E g l w Z p N D U F Y U n M r x G M k E d Y m o J I J 4 e t T + D 9 p e 7 b r 2 O 6 N X 2 l c L O M o g i N w D E 6 B C 2 q g A a 5 A E 7 Q A B n f g A T y B Z 0 t Y j 9 a L 9 b p o L V j L m U P w A 9 b b J 6 z A j z E = < / l a t e x i t > < l a t e x i t s ...

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Section: The Boundary Phase Diagramsupporting

confidence: 89%

Chiral Y junction of quantum spin chains

et al. 2019

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“…Understanding quantum effect in three terminal junctions is important for potential applications as rectifiers [2,3], switches, and logic gate devices [4]. Recently, these systems have also been studied theoretically [5][6][7][8][9][10][11][12]. Interesting predictions include a low energy chiral fixed point with an asymmetric current flow in a spinless fermionic system [13] and negative density reflection at the junction of Bose liquid of ultracold atoms [14].…”

Section: Introductionmentioning

confidence: 99%

Efficient density matrix renormalization group algorithm to study Y junctions with integer and half-integer spin

et al. 2016

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An efficient density matrix renormalization group (DMRG) algorithm is presented and applied to Y-junctions, systems with three arms of n sites that meet at a central site. The accuracy is comparable to DMRG of chains. As in chains, new sites are always bonded to the most recently added sites and the superblock Hamiltonian contains only new or once renormalized operators. Junctions of up to N = 3n + 1 ≈ 500 sites are studied with antiferromagnetic (AF) Heisenberg exchange J between nearest-neighbor spins S or electron transfer t between nearest neighbors in halffilled Hubbard models. Exchange or electron transfer is exclusively between sites in two sublattices with NA = NB. The ground state (GS) and spin densities ρr =< S z r > at site r are quite different for junctions with S = 1/2, 1, 3/2 and 2. The GS has finite total spin SG = 2S(S) for even (odd) N and for MG = SG in the SG spin manifold, ρr > 0(< 0) at sites of the larger (smaller) sublattice. S = 1/2 junctions have delocalized states and decreasing spin densities with increasing N . S = 1 junctions have four localized Sz = 1/2 states at the end of each arm and centered on the junction, consistent with localized states in S = 1 chains with finite Haldane gap. The GS of S = 3/2 or 2 junctions of up to 500 spins is a spin density wave (SDW) with increased amplitude at the ends of arms or near the junction. Quantum fluctuations completely suppress AF order in S = 1/2 or 1 junctions, as well as in half-filled Hubbard junctions, but reduce rather than suppress AF order in S = 3/2 or 2 junctions.

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“…An early study of tunneling into a TLL was reported by Oreg and Finkelstein 16 and since then there have been several works reported on the topic. [17][18][19][20][21][22][23] Amongst these, Jeckelmann in Ref. [20] applied dynamical density-matrix renormalization group (DDMRG) method to a 1D spinless fermion (SF) chain with nearest neighbor interaction and he confirmed that the bulk density of states (DOS) shows a power law suppression as → F ( F being the Fermi energy) in the gapless phase, as is expected from the TLL theory.…”

Section: Introductionmentioning

confidence: 95%

Tunneling density of states in a Y junction of Tomonaga-Luttinger liquid wires: A density matrix renormalization group study

2020

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It is well known that the pristine bulk of an interacting one dimensional (1D) system in Tomonaga-Luttinger liquid (TLL) phase shows power law suppression of quasi-particle tunneling amplitude for all values of TLL parameter g, in the zero energy limit. We perform a density matrix renormalization group (DMRG) study of a fully symmetric Y junction of TLL wires and observe an anomalous enhancement of the tunneling density of states (TDOS) in the vicinity of the junction for both (a) interacting hardcore bosons case and (b) interacting fermions case, when g > 1. We also observe suppression of TDOS for g < 1 for both bosonic and fermionic case. We find that the TDOS enhancements follow different power laws for bosonic and fermionic cases which suggests that these represent distinct fixed points owing to statistical correlations which play an important role at the Y junction. Analysis of static conductance for the junction indicates that the fermionic fixed point for 3 > g > 1 resembles the mysterious M-fixed point of Y junction predicted by Oshikawa, Chamon, and Affleck [

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Enhancement of tunneling density of states at a Y junction of spin-12Tomonaga–Luttinger liquid wires

Cited by 12 publications

References 69 publications

Chiral Y junction of quantum spin chains

Chiral Y junction of quantum spin chains

Efficient density matrix renormalization group algorithm to study Y junctions with integer and half-integer spin

Tunneling density of states in a Y junction of Tomonaga-Luttinger liquid wires: A density matrix renormalization group study

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