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• W4377029109 abstract "The zero-temperature phase diagram of the ${J}_{1}text{ensuremath{-}}{J}_{2}phantom{rule{4pt}{0ex}}mathrm{SU}(N)$ antiferromagnetic Heisenberg spin chain is investigated by means of complementary field theory and numerical approaches for general $N$. A fully gapped $mathrm{SU}(N)$ valence bond solid made of $N$ sites is formed above a critical value of ${J}_{2}/{J}_{1}$ for all $N$. We find that the extension of this $N$-merized phase for larger values of ${J}_{2}$ strongly depends on the parity of $N$. For even $N$, the phase smoothly interpolates to the large ${J}_{2}$ regime where the model can be viewed as a zigzag $mathrm{SU}(N)$ two-leg spin ladder. The phase exhibits both a $N$-merized ground state and incommensurate spin-spin correlations. In stark contrast to the even case, we show that the $N$-merized phase with odd $N$ has only a finite extent with no incommensuration. A gapless phase in the $mathrm{SU}{(N)}_{1}$ universality class is stabilized for larger ${J}_{2}$ that stems from the existence of a massless renormalization group flow from $mathrm{SU}{(N)}_{2}$ to $mathrm{SU}{(N)}_{1}$ conformal field theories when $N$ is odd." @default.
• W4377029109 created "2023-05-19" @default.
• W4377029109 creator A5003664373 @default.
• W4377029109 creator A5012747099 @default.
• W4377029109 creator A5048671032 @default.
• W4377029109 date "2023-05-18" @default.
• W4377029109 modified "2023-09-30" @default.
• W4377029109 title "Even-odd effects in the <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mtext>−</mml:mtext><mml:msub><mml:mi>J</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow><mml:mo> </mml:mo><mml:mrow><mml:mtext>SU</mml:mtext><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> Heisenberg spin chain" @default.
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• W4377029109 doi "https://doi.org/10.1103/physrevb.107.205135" @default.
• W4377029109 hasPublicationYear "2023" @default.
• W4377029109 type Work @default.

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