Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum phase transitions and string orders in the spin-1/2
  Heisenberg-Ising alternating chain with Dzyaloshinskii-Moriya interaction   Quantum phase transitions (QPTs) and the ground-state phase diagram of the
spin-1/2 Heisenberg-Ising alternating chain (HIAC) with uniform
Dzyaloshinskii-Moriya (DM) interaction are investigated by a
matrix-product-state (MPS) method. By calculating the odd- and even-string
order parameters, we recognize two kinds of Haldane phases, i.e., the odd- and
even-Haldane phases. Furthermore, doubly degenerate entanglement spectra on odd
and even bonds are observed in odd- and even-Haldane phases, respectively. A
rich phase diagram including four different phases, i.e., an antiferromagnetic
(AF), AF stripe, odd- and even-Haldane phases, is obtained. These phases are
found to be separated by continuous QPTs: the topological QPT between the odd-
and even-Haldane phases is verified to be continuous and corresponds to
conformal field theory with central charge $c$=1; while the rest phase
transitions in the phase diagram are found to be $c$=1/2. We also revisit, with
our MPS method, the exactly solvable case of HIAC model with DM interactions
only on odd bonds, and find that the even-Haldane phase disappears, but the
other three phases, i.e., the AF, AF stripe, and odd-Haldane phases, still
remain in the phase diagram. We exhibit the evolution of the even-Haldane phase
by tuning the DM interactions on the even bonds gradually.

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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: math
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph